Physics-
General
Easy
Question
The time taken by a block of wood (initially at rest)to slide down a smooth inclined plane
long (angle of inclination is
) is
![](data:image/png;base64,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)
The correct answer is: ![2 s e c](data:image/png;base64,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)
For one dimensional motion along a plane
![S equals u t plus fraction numerator 1 over denominator 2 end fraction a t to the power of 2 end exponent rightwards double arrow 9.8 equals 0 plus fraction numerator 1 over denominator 2 end fraction g sin invisible function application blank 30 degree t to the power of 2 end exponent rightwards double arrow t equals 2 s e c](data:image/png;base64,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)
Related Questions to study
physics-
A body is at rest at
At
it starts moving in the positive
direction with a constant acceleration. At the same instant another body passes through
moving in the positive
direction with a constant speed. The position of the first body is given by
after time
and that of the second body by
after the same time interval. Which of the following graphs correctly describes
as a function of time ![t ?](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAANCAYAAACZ3F9/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJRJREFUeNpjYMAP/ID4MBD/AOJPQDwbiMXRFakA8VE0sU1AbAnETFC+B9QgFBAExEsZCIMfyJx6IP6PhMtxaALZvgZdcBUQB+CxyRaIFwMxD7rEDSCWx6HJAIgXIvkVDkAC3/DYBgoQQWwS5kB8EI/GP7gkIqFOIRlMAOIccjROAeK5eOT/45LQAuKnUAVspGgkGQAAGJ0b/2USvwUAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnQ8L21pPjxtbz4/PC9tbz48L21hdGg+W5+6gwAAAABJRU5ErkJggg==)
A body is at rest at
At
it starts moving in the positive
direction with a constant acceleration. At the same instant another body passes through
moving in the positive
direction with a constant speed. The position of the first body is given by
after time
and that of the second body by
after the same time interval. Which of the following graphs correctly describes
as a function of time ![t ?](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAA4AAAANCAYAAACZ3F9/AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAJRJREFUeNpjYMAP/ID4MBD/AOJPQDwbiMXRFakA8VE0sU1AbAnETFC+B9QgFBAExEsZCIMfyJx6IP6PhMtxaALZvgZdcBUQB+CxyRaIFwMxD7rEDSCWx6HJAIgXIvkVDkAC3/DYBgoQQWwS5kB8EI/GP7gkIqFOIRlMAOIccjROAeK5eOT/45LQAuKnUAVspGgkGQAAGJ0b/2USvwUAAABTdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnQ8L21pPjxtbz4/PC9tbz48L21hdGg+W5+6gwAAAABJRU5ErkJggg==)
physics-General
physics-
A frictionless wire
is fixed on a sphere of radius
. A very small spherical ball slips on this wire. The time taken by this ball to slip from
to
is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAYEAAAEbCAMAAAALesgzAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAL9UExURf////z8/LCwsB0dHW5ubvn5+enp6W1tbRISErKyshwcHBEREampqQoKCmJiYufn52FhYQAAAKysrP39/czMzKKiovv7+/Hx8aGhoWdnZ87Ozv7+/u7u7uzs7PPz88/Pz4yMjIODg62treTk5Obm5omJiRsbGwQEBFBQUMHBwerq6qamplhYWCIiIjExMcjIyF9fX0FBQV5eXi0tLS4uLpycnPr6+ujo6JKSki8vL1FRUaOjo11dXTMzM7i4uFdXVzIyMo2NjdbW1nNzc3x8fOXl5YKCgjY2NmBgYNXV1evr63Z2dmxsbNTU1LS0tFZWVkNDQ/Ly8oeHhzo6OlxcXLy8vPf393R0dD8/P/j4+KSkpKioqK6urjk5OSUlJXBwcLq6utDQ0MfHx4qKilNTU09PT52dnfDw8DQ0NFtbW1VVVTg4OJGRkePj4z4+PkdHR0tLS0VFRSAgIHl5ebu7uywsLHV1dbm5ucnJycTExMPDw7GxseDg4IaGhkJCQq+vr/X19e/v75eXl9LS0n9/f9vb25+fnx4eHisrK1lZWaurq9nZ2ZiYmIWFhfT09OLi4uHh4e3t7d3d3dHR0cvLy8rKysbGxtfX19/f36qqqpaWloGBgWRkZE5OTk1NTUlJST09PTU1NUBAQEpKSr+/v6enp5SUlICAgHt7e3d3d29vb2tra2lpaWhoaGZmZhkZGQcHB3h4eHp6eoiIiNjY2Pb29re3tyoqKqCgoBcXF729vba2tjc3N1paWpqamlRUVJCQkJ6eniYmJn19fdra2sLCwnJycpubm46OjmNjY5mZmcXFxTw8PL6+vs3NzaWlpXFxcY+Pj2pqajAwMN7e3kRERIuLi1JSUkxMTNPT08DAwGVlZUhISEZGRn5+fpOTk4SEhJWVldzc3LW1tbOzsxYWFhMTEyMjIyEhIQwMDBUVFSgoKCkpKQ8PDxoaGgMDAwICAh8fHxgYGBQUFCcnJwYGBiQkJAkJCQUFBTs7OxAQEAEBAQ4ODgsLCwAAAJ7ONGAAAAD/dFJOU///////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////AGb8ilkAAAAJcEhZcwAAFxEAABcRAcom8z8AABdWSURBVHhe7V05toMgFP29Vc6hZAsuwQ1RuxI6lkBD4y7o3c+/D9DgGMckGq7+iET9kccbmf52oMzMH9ePMpwmvB0q03/cZIkCH4PKxJ80DxVOE94OZtQft4aF04SEhISEhIRfBOc8pBI+AlZplUjwQfAqe9TJKfwcuBX5o0hO4efARG2K3IazhLeDV4VQoqiSIvgUSpFXUhc6UeBDQOEbyQ0+QkbCe8FLUUMFQBKViQk+Agb5I/+4EiJ5BJ9BWeSmZKwSwiYKfACcmTwraiGKvEgU+AR4VaP867ou8iwZQx8AL+tcQwYxVppcJGPo/ZBVUftoBLd5nZpK3w5uazhjPm2zIsXm3g6pc8GC9C+LIpmj7waX9tkswKoqSaG3g0vZVvs4nZCQkJCQkJCQkJCQkJBwZ3A4wRSWZmWzuSg1g2ucfONTwamXLpesVFVljBGueQaoayGEMbqyqmSgQurLexK4K3qttcHuIer88SjCCQHfak2ESDQ4FKHqWy2KPC9Q3VHbFYkeZeosMyW+K1VpbaUFmCKvhbaeGcL9CXshqfAhaiBoKks1PBQvt0abXMsgoIgQjg6aJJQwtkyNlwfAyR6Uf12bSnWFCy+FKO2wzyJnqnI3JHm0F6jXTOkacscqZ+qE/ABmhOWKem314IwlIlxd1BpkS+JoIySKn3SurkZrsqxqzf7AAxOyBrdX/vYe7yQsAuqxguYtRDWhU7ky1FtROT0wDlINFT1Dl8lVWAsuSZRT9Z0oX16amrrKTfOAh4Q0gtUq7OxVCT2Q8QPxX81ID6lJBr2mAMDBCGShThEzoQeoX2ucCp0pMV7VfkaLBRQAQzmFblSSRUuA8tcw/avZMQGQQaHD9JweiMDLCi60tqlXxStwFJWvrSFjHFACocfcEh4gQCtDKZNgSzSYA0Q2PCn7ynpEYTaz6iylAEDSrQblEgkmQQIIKvOl9c6tEM0Y4hUUwI2lhoGVRNEUSADVMN3D6SQ4gyHaXLVQDwRwCfmF/5FIMAKSEVDAC9zXxhB1WMUDAKlkYZJ3MITTAK8FEMBtbZ691dfxgAOJonlT6wfBuRI1LKBwOgeKRkTjxtbyAMAlNPKyf/Y7YFbABVtULZluDFGHDTzgqFjDMA1nCc5EWVogsnGGAzbwAOBk3hKd8xugGrlUNzpDNC64TTwAMCf2EgkIEhIoUq2zaCKiT2zjAQCPIt87nP0yJCrjYnnQMUQdtvKAl0QpaO3kekezzkLCEO2pi808AECpJxIQARZHCXqGqMN2HgBA0R/Xx3xdLWSmHkyntYcHGhKEk18ExPqgUk+DIqIDjb2LB1AHQIJFnvgtAVVYiOXWCLfFiMm0jwdAVjIE8ISfJALN07ecA7gS2ch0Zjt5gAgLd3zfI64KJ4JCegGYyfKRsPJeHiASkDEQTn4JUIIrOADSoi4M9ED/jrE+cyvxoyQgK2QFAf6UEJbCR6pnuVR7pRBAleHnAhQUjV5T75iheV1dBK+kjqCcukvTSBp9AAVcuO/HSEAEWOwJA1ILikbAejLUkk/912lAgRFa5EdMcUYBit+ao8hPVLkYXKGAXEFLpaEN3FAZbahV048f2A24hj/lFsAMWhoNJVD4utEZED2WekTTyLHKMli0h1CAgq5rmPLieFbpZQDB4tKRTAFWuU7pB9hCDj81cSy97IQWHu2nDj0pOhaQH1RJyhj+wDFSyP2XNXx5aUAJTDE8GxtsQbUzJIc4igccp+nf6MsFu2NiIT8uq6HLxRns1umCAQ8cVGrUG/g3VjJAlZ5QAtwKM6jtkA46kg6cMxnzyf6oRIsfUQWuy+HEa9Js9v3i5KobEaWxNbEWOZACjddxc6AEpwxviKdBafab5pmlUd1RTHt3bDQG9UW6OxPQGOAJtUrGyIA2zBQxW4BLFCNF0sqxI3mAYnTDn3AvQNdOBePJ7RpIYXBMZIhyBgbC3RJkaa48lAeca3zg474QqGSxWo0A/SCGNmq3f1bjmXGYs6fwwByL3gTTargdmhej2zRP68644pE6P4kHQNx7x4dIiky4AhSiD+kWLlwW0oCbxcAlxFMKHcsDNEJtTbvR5UA8Pvp65HYNvuGqGyco81pJmmRaBV4gHMwDeGDdTup+O0yrYepAOPjGhY+isuDVIxfaGO3GIYXMw3nAcdqxT/wiKDPREkVW4MBPlt14MTyDPMsLbFkWOW6H8wB1zBs3Fq6PXpD5iY5YaeDcg5AmSFCpoqC0NVm06snhPICfede1nVpTpkUTix4zREkJdBgGTkCwi0CK59WH84B7/j01wdAQ4n6eB1kVAwupM2LVgdXBBC11LLGO5wHO9IhncgOMRB4lo7rmIqLdL0gU9AcKNBSAiRoLiRN4wDXhhfSdQDW9W1ZcKiWdITqQu3JoE4ICJMPIc4uL53gewH8Xt1xaaMTVYdayUROVggP9i6XJ4a06HyH+5gQe8LGT25HARaVDukFZ6ZJMnDElMJDE1MlOUBeVroA4gwf6ku4ewEsNOLuEyrPGRSM6X/GxgQIgQZHngxp/Bg+ACW646jT08KCqK1HQXE7QBY1d6jCisx2kraqqT5lTeMCFJkLyLiCDZ/BOqs7yTNgSiNVuOeW5jXVmOYUHyEO52UBXDoEziLZwmz8eWWGE0NGcWjS2bIU5fg4PSGsm+nNcFaMs8EcUAAloou5n3calazrUncMD1DIxiJNcGjA5h03gXGePR06znETCZWzE6hzO4QEXHArJe4BiDCH5hAQFCpoXOpyj+PlonHoOJ/GAo+yKivDtkGpErFL8pTskRpa2ElMNyRM4iQd4CcfjThSozHDcNAUlYhPITYVY5P140AucxQOsulN4jirUiIHfmwEX8kfoCpbRqiaqk3iAwnN3cspoqYaQnISknimSZiBb1XnzLB74Y3W9Shx+Najv56ti4qUwzgYaCyDN4Cwe+JPiRhSQdoF9015Dr76cCU7jAd5vIrowyOh5aeLzqqh8ap0zdBoPwDO8zawrUMQL5lFseQAUWMH+p/HAn9K3GWPMYdi9rk0qTC0w3a9uFKfxwB9xbkheHbJa0t6h6qxWjBaO+Q5bCGJouNDWRSFN8VKwc1kVtfDjhFfFhc/jATza3IQCzBQvjRsKnloFn7jW6wLz5/HA3wIb+iIoX1vWrjeXpPX3ypXxsBN54DZeMUyhl01+1E9929ueyAPwEe8RnOPKvDJuqMfKRtv7RB4Yj2ZdENKOBEY7cEPIQnotTuQBWd1jpQiaE+jFi5Ri+2D2E3lAVvq0Z78VZfWCmcd67i7GiTzA4RVv/l1fBIpJzCq08f5ZSzHGA+A6WpN17wLR1KxxCwqo+SjD6BCy5RjOrcKZLjLqXreqxX8E1G/mDgFqMoXmbPxy3yBq8ED34fh/hamspbUtd5oyTN+jF/s8D4yOI14OWeXd3kUgQOZzmAiJzZCrorRfC27FTICL+mdt7xrFS50/sk4HQybyQFFui519fqQu7kKBaSnDYIhulkG8FNTr7lE815rkqnADPSiJb/dpAlBge+34HtBwiKly4G5msXCyGijijAgAErQOB4MSCGmumpFnW3EbHpihgK2Hk2otBnSAJ8Dj0bYs2+LZFqH28gDXDT9dGlC1oQF4AIqI7tCVZR3K//Foi7rKW98C5N0pRORdKDDV1ET29h5DtBSh/B+PrKGAzto4LA0J32cL3YYHCh2SPQxHV65DRIGGB7jJ2keWZm/ISOrs1hQYnctgDSAkAgEeje8VU0BBCO2jAL8LBepxCkAJ7FSUqmGCdgZZUKDxBuAYiH0EuI0emLCF9sogACRw5mjxnBbLZmH2Cabz3aNg+K39AWoW221sy9KQTxw1AJWuzwtjykRm6Vbc2id2TfN7SwiPcVU9ejy5YbUQoqbBUSFvM27jE49RgEas7icAoHq2LrV4Eo6I7N+EB0Zjo2SrH1BEwKB9gDMan7y208sobtM+AB7oFQdFRA96t+PmXh+ApkC9BwXMYAZPmjplt5T2OG79gSHKm7TQDNqJV49YncNha3AMcZt2YqZ7Zgn5aIfVrTN7q9ykr8Qfq3RH5FA0Yl/ELMaJFGAVzftyfXBuu70WabGR417sxP5Cr7uaXQRQxXEfZKkP7ZJ8Ig/cZ1g9Kv1T7MMQPbQ/bOo7vQDx+AE+MoffLpzIA/cZVR+PYjrSEHU4kQdUIe7BAtTxqaHAcdGIBifywInu9puBYrc+LnFQRDTGeTxAbstNKADl6yP4cDIPnyngNB6AJ3mb8cTUD9/VfGqVOdrJPI8H1JKZAC6CMFsSGaKHm3fn8cCdpniihkrpZdDhleo0HuAjy6NdFn5+IZpH9PhA12k8IOvLNpBxLiUDoknMyLscm+L7AJzGA6yO1lq5FmieMmosj1oFSm1sdWw0osFJPMAlNe2Fk6uh1HlW1HlePKNBniinBBrP4oELz7VI4X+tmKqKvDWnoYTz/HBD1OEsHlAXDoxC3lPllyJ7upRSZyctLHISD9DkQhdlAery7Wp7GY9gQWZnneHjcFJJXbnLKDc5CVCpi6izjevKVvW7TByBc3gAYvO6q+Ry8TBWlSBAJHY4gyIQZ5DgHB6QlbmuEGLi8cjzPOuGdqGf8/r4qNA4D+ynM1s32d1XgYaTCm10nXffoYSFVO3vTDtAjwdoJhfCTnaDE39Vd+yP2cKN5KIBFLFXL2kZFHjJ3UV/9qPHA7IqHrR8azSkYAOoaeCqQqidrwxF0YmryNBIwMu9U5500eOB0hR1pawu2mE1G+BWzbmqEEIR+EaYwVjSMPUxV7o6kgY9HoA7SL3i4X/sWM6Kr5t09rsAs9PbQOCFriil5hmUFS9FIQ4kQY8HKh8LAQV29HOgdSlD8nrgNveVDyzQkwNhYUpZ6rq2h9mlPR6o/Ei+PRRwa19elgXw6o8a3oCqxMBOhybwvO1mlj6KAl0eIHcQT+a2cMdtIG/sqJ/3fsgqy4qihgdsB9WIFmRybyb9EJdD3rLLA5yCURySrjfr0Bq4kNB1KQBFS+PovD7sAZogFkxhhe6d6PAAL+tMVJYWs9lcizm7+FJkqIEo2fHC7S6NyGy0FuJmdHgA1TfLnD8eUXolaOThdbXAC8BCjfQjzTK6/1VjHqDVpgttq/yxwxDCz7qwFniFTrddFBcthb3zbTs8AAFiSpjzWbHZoaJaclsWcObQ8/U4DXzf/bYdPcBg56LoVb25x+fhfbu/DbKz8q0bKnckD5SFa4ljZvOkHt0feENw1e02x3ZbpR09oDLXw0TqfGNfH/y+ewxgnUa/6yiVvpQ7bKKYBxqHnByyTdqUxnDfmwWAoanBma22d0vo8oBf1g8aeX6q6ylQVHqvYvp6jHTfpSBeZ5XoNejwAJchvY2rqHX41mrYg7qPdhldkh+91TXo2EI78QsyiDBi761dhCxCxxbaB7Dn3dWwh7T14EWlshtVwXE8QAQ4oSH7G+HW3OiVNyQ4cjYQ4TAegB10c1cgQjnxrpKtn5jpMB6gBu7b20EtyrAKaA9uOfuVJDiKB8Zk443BoXlHXhfumqhWssFBPEDO8A8Yok9IXYxEhLhUplhpFB3DA/AEihOGWH0zoPbGpC4v9cqVQY/hgYmfc2u4Sjes7VyWLlq3GEfwAE0Cf5dpVJaDhtqMGkSuV+Pyro0H8ACXpvg9AuC9YRBN2d9cVUu1wQE8QAbARo/82qB+jRPmh9RUJosKZTcP0Orgv0kAIoGYGNpEXWfrZSHr3TxAHPBTdmgMaqufGF3GlpbLTh6g7hUnzLVwGcARneplzq0JkxLNYycPQAT9TjRoDFQDJ0qQl4sCFPt4AGbo74ogD9IFM914KWQ6X0C7eIDpn1XCT3BlZtaHlkq/kBFbeQDlzktT32Ql+l2gIR2TizlDG5BNNFNK23kABteP+gF9UFRsqq85l/aFv7pZD3BVUxfHBAJVxqnIJKTUbF/mrTzAKlEfN47k8nAm0VRNl7aaqarbeIBUwOHTPl4aUhnI5IkSkQxfQBeMUmgTD0grxAFrNd0LZJfMje9jE+7BBh7gpYUE+sFg6Asw8gymi6XX5bfFeh4gzQ8JlAgwAE2FJibDcaSth4MD1/OAG+iWvIAJQCEXRk2IItLWI61q63iAMzgYv9E1cRukIhtxYoCftHpkGuIVPMCpJ4DrjREyEkYAbSDMRBlBgw6/WMEDoC/JuVT+86DFykjij5VT04QcM8JSHuCyrESB8h/lr4QYtAwYzRc7XlZc2o5CXsYDKH9SwCt7wvwuOK2vaqpxnez6dz4LcgkPcAb5M+N1JwxARUYiAzQYxEWJPJE/+4oH8AAGAxQEXdbik9DAeQeGpqYbJUFbnWd5gDtaOqGW5M9qeNVZQHYPetEx/Vwsb4YHuJQ0zU4NZto9dP83AfOdpkmphYYV2onMsZKUsTsf5QE3oSAr3XzjphqxYRMWA4wAJ8pAHFnVZQUUMQn2MR7gkoF2GtYPif9U/fcBpVlabeqiNhpEYDT82xcpszT2DDwQSpgqPr6VDMUP1etuWNkNOGECVKW1NsZ4ZrAlClZyuM9QB7RGtxM6KPpSqYr0Lk35qoleqfQPA8qYtCrkeg27hqhgQZQ6qyuTC4WSV8iB4AGRcAW5Eneo+6T6PrfR7v6egGlTUkmDHQQMTFHnNKHWIy9qRxjHIKCNAov0ZH/00M9sW0CKzq3n84lPSjR/AZI0AEl5EAFK1lEABU+zChKo/CH3UfzhuujW5pHt/u6/bfxIpiCYG+z97k98uP354XP90aUgcGxF9b1CrW9Bgkg5keQvD/f6g9vjvPf9bR2sDlPjS4H3ojcbAb74RmxrkSMeaN71vZ/+r4thzlL4O3v3N//k5L+wb/UIJZ4SWPrdnz71CriqjLYJPJ8aoTk9+YiDS22TQmT9lbA93N+bP+nDHZ67++qZJriT5xahvTJc4j4Gme7CU490QGKrX+Io4B/4BYh+yMTPctkT342iufCsYwOYZ1spkHAQtlGAYovY3Mc3bHGiTccb7f6wbOsnwuGw83bbSgGaagav9C1of8vcj1rzg/vXHn0eY2OEJPjECQcgFOlKcHKpvwPk2LudPmZ+1uyXMaIHBtCtdN7k7T1v4M43RiV4E2D5OOjl/Ef4nML8t0/Qde6RT7RZIXPveUDIDGW6EhRw/469h9638R6+fvnXYCyPsPecMvzusVEPhLsTdmMbAVyTH/+SLd7ntyg5vXUPzRbv+86bnJC/dTrh+CFfsLX7/BYlp7fuodnifd95k9PmhyJdB04k+B7Qb2lebw6LfrO/qHdpeHo4bD33WT4ngE5Coa7D8/ZPIrxUBDqN/9pDOKHj/B4uCodnXoR+ztpzn9PmhiJdi3B3wn6EEl2JcPOnsf530B1zfw4h0cmL0M9be97LCUW6GnjK57couXTz+/QxpNtDSMdblPRblKQtSvrNH5oz2jqJTRj+l7Rt3jbC3dol7Ju35z44cX/PrN7+8rw5tjnP8+bveXiexH/Pw8hJb98GunHP/fvh/7vbo6Tfnx9L9tcZfu8f471/7CZf7BvR3Ez/6hMb7f5ndJKdz0GWS+GjzRlkhFTIa7NDrj+2uf6z850/uqQ/bz/jRC9zB3Y/YBfa93gm6dhm+5P40/8RmmMvw1/Sftm5Lnp6lCQ8v/NHl2w+enkBbTrOXAXc6O/1iY/s/r83iJKd9Ajae5vr2owIzdfNcQxz33m0X7tEuN5nhpNt2H7nKZj6OWP5w7xlVz0x951DuODldTcHU9TPLo0S+BRoMW2CScPEPgPOTEEjzESar+8z4KXIhZJSlkaokJfwTjCR1b5XOHNDWxPeCy41CBBOEj4ByKD5+SQSzoW0RZBBCZ8BDNFkAX0UDEIo6d9PgtVJDXwWZZ1XSQ18ErEplCjxCcAf84u7+iluEt4OWKNQxZLL0s5NF55wHiguSmG5NIn9x0BzVAO/vZjYR0EjzpVVqW3go4ACSDogISEhISEhISEhISEhIeGS+Pv7BwtbLTQXe9U8AAAAAElFTkSuQmCC)
A frictionless wire
is fixed on a sphere of radius
. A very small spherical ball slips on this wire. The time taken by this ball to slip from
to
is
![](data:image/png;base64,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)
physics-General
physics-
In figure, one car at rest and velocity of the light from head light is
, then velocity of light from head light for the moving car at velocity
, would be
In figure, one car at rest and velocity of the light from head light is
, then velocity of light from head light for the moving car at velocity
, would be
physics-General
physics-
A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion
A body starts from rest and moves with uniform acceleration. Which of the following graphs represent its motion
physics-General
physics-
If the velocity
of a particle moving along a straight line decreases linearly with its displacement
from 20
to a value approaching zero
m, then acceleration of the particle at
m is
![](data:image/png;base64,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)
If the velocity
of a particle moving along a straight line decreases linearly with its displacement
from 20
to a value approaching zero
m, then acceleration of the particle at
m is
![](data:image/png;base64,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)
physics-General
physics-
The graph of displacement
time is Its corresponding velocity-time graph will be
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492173/1/959957/Picture156.png)
The graph of displacement
time is Its corresponding velocity-time graph will be
![](https://mycourses.turito.com/tokenpluginfile.php/c161933dbfaab094c54655ab71e9b8f0/1/question/questiontext/492173/1/959957/Picture156.png)
physics-General
physics-
The displacement-time graph of moving particle is shown below The instantaneous velocity of the particle is negative at the point
![](data:image/png;base64,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)
The displacement-time graph of moving particle is shown below The instantaneous velocity of the particle is negative at the point
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAXsAAAE2CAYAAACA+DK5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAAFxEAABcRAcom8z8AAGMKSURBVHhe7Z0HnBRV8sdRET31RAFzOgN6KmLOZ8AznHrmrOgZ+Is5B5IooAiSQZAcRZAsOYMEEZAsEkRyEESCqHfG+ve3lhp6h152l53dnZmt+ny+zLDT/Tq9/vXrevXqFfv55/9Kw4aNpEyZQ6RYsWKO4zhOmoCuo+/ofK7FvmTJknLKKafIxRdfLNdff73ceeed8sADD8hDDz0k//nPf/TTcRzHyRump+grOoveorvoLzocpc/x5Frs99xzT9lnn33kqKOOkn//+99SrVo16dChg4wcOVJmzZolS5YskZUrV8qqVav003Ecx8kbpqfoKzqL3qK76C86jB6jy+hzlG5DrsS+RIkSUr58eX3KNGjQQAYOHKgbXr16tfz000/i5ubm5pb/ht6iu+gvOoweo8voMzodpd85FvuDDjpILr/8cqldu7ZMmjRJNm3aJL///rv88ccf+uk4juMULKa/6DG6jD6j0+h1vIbnSOxLly4td9xxh3Ts2FEWLFgQLPzz9ufLDmODv/76q/zyyy+O4zhOPoHOorfxhi6jz+g0eo1uh3U8UuzDCx122GFy++23S8+ePWX9+vXbixX57bffInfEcRzHKVjQYzN0Gr1Gt9Fv03J0fSexP/jgg/XHAw88UHt+e/ToIWvXrt1elOirg7fiHcdxkgP0GF02Q6/RbfQbHUfP0fVMYl+//ntSqlQp2WuvveSSSy6R9u3by7fffru9CHGRdxzHSVLQZzN0G/1Gx9FzdB19j4l9nTpvB839MnLkkUdKzZo11Qdk5kLvOI6T3IQFH/1Gx9FzdB19j4l99eo15NBDD5Vrr71WPv30U10Z4xUhvlDHcRwn+TCXDt/RcfQcXUffVey3bftRlf+ss86SKlVel++++05XwPnvrXrHcZzUAL22Tlt0HD1H19F3dL7Y5s1bpF279vLII49Ily6dYwsT5sN3Iyz8Vmg84Q07juM4BQ/GZ6dOnVTX0Xd0vtiGDd/JoEGDpFmzZjJ16ue6YFZmETlZmbt9HMdxChcMnR4zZrQ0adJEBg8eLOh8sXXrvpXPP/9c+vfvLxMmTJAVK1Zoj+6aNWs0lAf4zmvBjz/+KP/973+Dp8Rm/RswfJf8DazD7+E3AMdxHKdg+fPPP1WH58yZo2kVPvvsM0Hni61du06WLVsm48aNk7feektHYT344IPy6KOPSqVKleSxxx6TypUrS9u2bWXx4sU6RJcnxeOPPx7LynbPPfdI3bp15euvv9bWPS4dF33HcZyCBxc8nzTCyaMzf/5XQaN8jRTjn40bN8rcuXM1m1rZsmXlgAMOiI3AguOOO06qV6+uIT2IPXGcJ598ssZxknGNEVtPPfVUUOh8fYXwNAqO4ziFg/Wf4oHB87J8+QpZsWKlFOMfxB4RR/Bpwd9www2yxx57qNAj5tdcc4306tVLtm3bpgWNGTNGW//HHnus5lZ+7rnn9M2AMqxlH78DjuM4TsGBy33r1q2ybt16Ffxi/LNhwwYVaIwW+YABA+Smm26S/fffX/bdd1+58cYbZciQIfo7hm8fgcflg/uGhwSGr8iF3nEcp/BBixF8+ltjYs9/+NFsy5Yt0rlzZ7nwwgulePHicvjhh0uVKlXUTUOHbZs2beTuu+9WHz9/+9///qfrma/IcRzHKVyyFHv+aK17jM5WxPzEE09Ud86ZZ54pL730kuZOfvHFF1X8R48eHVvHW/SO4zjJQ7ZiT+scdwyzohCS+cQTT2gH7F/+8hfNtXD22Wer2Id99LmJr/eOW8dxnPwnW7FHjPnEcO4Tf3/XXXfFZkE5/fTTpWnTpurnxxD6nAo4y7nYO47j5D/Zij0LmQ8eI7a+Vq1aGnmD2J9wwgnyzjvvBCsvV6HPSacsv9uyuXk4OI7jOLtHjsQeMMSZoHzSZZJQB7FnNvOrr75aunTpokH7LIOFNxIP4s4DhI5fXD+4iLyV7ziOk39kK/bWCkeIab23bt1aR9E+/fTT6s7Bf7/ffvvJbbfdpkNxEW6M9eLF2/5GGoWlS5fKqFGjtFOXNAv0DXj0juM4Tv6QrdibkSOna9euKvTPPPOMjBgxQgdTkRqB1v0hhxyif6cT1wQ/Xrx5aPA3xL1v3746yva1117TtwWMt4Lw8o7jOE5iyFLscbMgzhgCTSbM+++/X0fK0kmL+4Xht8TfX3DBBerSOf744zXFQnhmq/DGMHMFVa1aVcM4K1SooK17s/DyjuM4TmKIFHvSX/Ijhttl5syZKs6kTWjYsKH88MMP+hsPAVr8dNCSLwfBL1++vDRv3lzWrVuny2DmzsHYIA8LRJ7lEXxy6xDpQ3n8Ht5Bx3EcJ+9Eij25cRBo7Msvv5QaNWpoJywuHNIksJIZ30mncN1118nee++tXHbZZdKxY0dt/WMm4hghmu+++66UKVNGxZ5P/P+TJ09WXz4tfxd8x3GcxBIh9isD0f1JhXf8+HGa1pjBUyVKlJDzzjtP3nvvPU2JwMokQqPVT3TOqaeequJtMNiKhwS5kxF7XEIsz1yIuINsOQZnEdnDZClE52AsH7+jjuM4zu6zk9ivWLFK/4g/vnHjxvL3v/9dSpcuLaVKlVLRJ2c9nbMIN66aDz/8UG6//XY55phjdJkDDzxQSpYsqRPbnnPOOZo3B/HGlixZoq16/m5iTzZNHiTkwyfah5a9i73jOE5iyaJl/6P65UePHqXiXL9+ffXV16tXT7p3766uHSJucNNMmTJF5zbkd0bS0kLnIUH2S9ajJW+x95MmTdIHAw8DE3sDNxEPER4yiL0LvuM4TuKIEPsdoZcmurhgDFYIx8/znb/xG6IOtmx4fR4g3bp1kzPOOGMnoQcmPyGSh0gdlsfCO+o4juPsPpFiTydqOEVCvCHorGyduNkZbwH49ompJz1ylNjju7/00kulZ8+e+oDAwg8Vx3EcZ/fZZcueH6NWyikm2rhmOnToIFdccYVOgBIl9oDP/+2331b3EA+U+LcIx3EcZ/fIV7E3dwwTmDOTFWJu0xtGQdjmI488IlOnTlW3j7mCosp2HMdxck6+iT0izfq00ocNG6bz1kYJfDyEdzZq1Ehz52DmMnIcx3F2n3wTe4z158yZozNc0QEbJe7xEKnDXLYTJ07UMrCo8h3HcZyck69ij7/9k08+kVtvvTUy3DIrypUrpx21bB/j0333juM4u0/CxR5RZj3cL5TDiNuyZcvKXnvtFSnsUTAg64033pBFixZpmfjud2dfHMdxnAwSLvbhuHrSHT/88MOaAjlK1LOCMMxrr71WJ0Sx6Q69o9ZxHGf3SbjY06LHSH3QsmXLWPrj3LDnnnvqpCjku//mm2+0PB4gUdtzHMdxsifhYm9GaoSKFSuqSyZK0LODEM1//vOfmm6B/UDs3W/vOI6zeyRU7Fke45McOqRGKF68eKSY5wSSsJFvhwRqCL0LvuM4zu6RMLFnWXO1LFy4UCc7OfjggyNFPKeQ697mtkXkMRd7x3Gc3JMwsbfUCN9++61OVUgWS0bERol4TuGt4Oijj9aIHpvX1sXecRwn9yRM7K1jlnBJZp4i4RkdrVEinhvw3f/f//2flktyNvYpN/vlOI7jJEjsaW0j9rhxxo0bJ//6178SIvTGlVdeqWGYq1at0geKp1BwHMfJHQkRe/PVk8+mSZMmO01RmFcIw2SGLKY4NIvfB8dxHCdr8iz21nH6888/a0fqnXfeqdMYRol2XiCFAhE+1jfgvnvHcZyck2exZxls69atOjXhSSedlKvUCDmFyJzatWurKweh9zBMx3GcnJMnsed3W2b+/PlSqVKlLOPq+TsDrI477jgVbvPp0wFLegT+RqduVgnTeIAQhjlgwAD5/vvv9QHjKRQcx3FyRp7Eno5SBHfFihU6ExXTCpo4I+IIeokSJVTkzz33XLn33nv1gXDZZZfFwjIR8SOPPFIqVKgg999/v/z73//WdMgHHHCA/hbu6P3b3/4mr7zyiixYsEDF3jtqHcdxckaexB7DnTJixAi5/fbb5aCDDpL99ttPxZoImrvvvluef/55qV+/vnTq1EkGDRokH330kTzwwAOx5GgIOlkxmcmqX79+2nInpw5ZL8mNQx/AxRdfLEcccYS+HVx11VW6PYsAym4fHcdxnAS07BF7ctYj9uecc47cfPPN8uqrr0r79u1l9OjROiUhZfEGsG3bNs2ESdy8iT0td9IivPvuu7Ju3Totj3h6ZrhavHixCnvz5s11nUsuuUQfFMOHD9cOYcp0V05mOB95Nbuu/iB1nPQhT2LP78CAJyJxevfurQI/a9Ysde3QaRtvM2fOlMqVK8u+++4bE3tCNRs0aBC5PJOVk/lyypQp+lAZOXKk/p/9o3XvnbSZSaT5g9Rx0oc8ib1BKzDKrHWIaNBaJOWBtezDYm8te1ItYCyPiLNuVNn8LWo/ijKcK/j666/1oYi7rFevXvp96NChMmTIEOnbt6/+PZ4ePXpInz599EE9d+7coCIs12vBG5ZZ1DYdx0kd0Id8EXvEPV60bUKT7MTetsu69qAIm7c4d4ZzBPR7MPELb0tw+umn6xgFOO2002J/j4flrrvuOnXBvf/++/qg+Oqrr/RcY/4G5TipTULEPjt2V+ydnMP5BdJVvPDCCxrZdMUVV8j++++v5xnoCKfTnN/uu+8+jY7ikwios846S8NiWYbv119/vVSrVk1GjRql/ScYD5OobTuOk/y42KcZdIJv3LhRryH9KERFcZ4JgX399de1L4Xf6Axfu3atfuK6IVPpY489piGyjHWgA50IKB4MlLNly5bY21rUdh3HSW5c7NOMsBHNRJQU5/mvf/2rNG7cePsvOxuiz+xiRFHR+re5CBgjQeufsFmuH+aC7ziph4t9moFv3YwW+6233qrnmUFq77zzjoasYgg259ng+mB8Hzt2rE4Uz6hm1iXX0eOPPy7Tp0+Phby6D99xUgvubRf7NMM6tOfMmSO33HJLTOzffvvtWOs8LNZ8t3WwH374QaN3SE/BulC+fHkNjyUthm3DBd9xUgcX+zTEhHv27Nk5EnuDv3HuMfz+jRo1khNPPFGvEeszYI4RzvZ24GLvOKmDi30asrtiD/wdI8aeGH0E3pLTnXLKKdKiRQtt+WMu9o6TOrjYpyGJEHs+GbVMGOcxxxyjZRDGWaVKFdmwYUNsmagyHMdJPlzs05BEiT3++bp16+r1oQzg2jFKl21wnVzwHSc1cLFPQ/Ii9sD6/E5MfuvWreXss8+OiT1hmNOmTdPlLKInfn3HcZIPF/s0JFFiz/Vgovfzzz8/JvZ33HGHhmaS5wix95h7x0kNXOzTkESJPSNsmYfgvPPOi4k9A64mTJjgKaYdJ8VwsU9DEiX2S5cu1bkEiLE3sWdw1cKFC/V3rpNfK8dJDbhXXezTjLyIPX+33xmUVbNmTZ1EnjKYK7hGjRo6x4AtE1WG4zjJh4t9GpIIsef7p59+qtfqsMMO0zKOPfZYza+Dvx5zsXec1MHFPg3Ji9hz7jGuP5OakCaZa8UE8eTJJ8+9i73jpB4u9mnI7og9/6ezleuEMXcwLhtLhkarnvz2TCtpM1i52DtO6uBin4aY2McnQiPrZVSrnO9hW7lypbRt21YneGfd4sWLyw033KBpjvHX2/V0sXec1MHFPs3g3Jl9+eWXscyViD3nmGWijPXIecPk8S1btpTLL79cJzwBJjQh4yWDrHiQeLil46Qe3OMu9mlE2BYsWBATeyYvqVevXqzVH2+EWXbr1k2eeeaZTKGWiD6dssxHy3VhfW/RO07q4WKfJiDAsHr1ak1gNn78eGnSpEkm4b7rrrukT58++tuYMWMUIm6GDh0qtWrVkquvvlrnocVPf/zxx+vctLTyeRCYRW3bcZzkx8U+TaDFDcwXy+xUjHolPp65ZE3smXHqjDPO0PQH/A58J/cNHbBkt7zooovk0UcflYYNG8qIESPUdYPbBnP3jeOkLi72aQLnF4YPHy4PPfSQXHPNNXL99dfrHLT33HOPpjkgN/11112nIZT/+te/9Hfg+0033SRPPPGEtuRJh8Abgok8D5GobTqOkzq42KcJ5sZhhik6Wemcxc9OOuJvvvlGYQJy/PgGvwPpD/ht+fLlsn79etm2bZuWZW8Lfj0cJ/VxsU8zEmVcLwQ/ahuO46QeLvZpBgKN+yUM554WOp+EVy5ZskTTFH/88cfKuHHjdBCVDZZyoXec9MPFvgjAuUf0Ob9E3rz88ssaeUNnLODHr1+/vg7CssnEWT6qLMdxUhMX+yIAhohb563NKRuGgVNMQYgPP2zeynec9MDFPo1BpDmXGJ2v1atXl0MOOUT22GOPncSeEM0LL7xQ0ySsWbMmtl7YHcTfKNPF33FSD+5fF/s0hXOO4acfOXKkhlfGi3wYrgnLfPDBB/LZZ59pjD3rxhv+fxd8x0ktXOzTFM6hGWGVuGjOPPPMnQQ+nlKlSsk//vEPee655zTmfvDgwRrGuW7dOtm0aZOGZVK+hWXS4nfhd5zkx8U+DUF8wzZq1CjNkVOyZMmdxD2K/fbbT9MlMMKWwVkMyHr22Wfl/fff1yieVatWqdCb+fVynOTHxT6NCIs81w8/PWGVr732mpx44ok7iXpuwKeP+DMHbdOmTdUtxICtLVu2ZBJ+b+U7TnLiYp8mILKcNwzXCpOMvPfee5rP/m9/+5umKo4X8NxCGUxRePLJJ2uKBeanRfQZdcs2MfbBBd9xkg/uTRf7FIfzZYZvvX///upzJ5wynAgtO7gWTCqOoBOeuSu3D8ueeuqp8sADD2h2TbJn4tM382voOMkF96SLfQpj5xZoYXfu3FkTnR188ME6w1S8SO8KHgynnXaa+ugrV66sidPKli2roh/10CCEE//+KaecIo899pj069dP1q5dq6182ydv5TtOcuBin8KY64RzS8QMbhsmG0GA44U5Jxx44IHy4IMPSs+ePTXz5bBhwzTuHndNxYoV5ZxzzsnyTeGoo45S1w4zWs2dO1f3CfMwTcdJDlzsUxDE04SekbGIK5OPcB7jRZjzS656Bkwh1lkNqsIfzzLt27fX62CdrlwLWutE4XCN6AMgT35WLh7y5fNwmDx5stYjrjtl+TV1nMKFe9DFPsVA6BFQzum8efPkjTfeUFcK5zJefBFmphrs3r27TjuIu4UO2/jlmNHqrbfe0vKibOvWrRp9M3HiRI2/J08+D474cnAdEflDWoa+ffuqa8keHFHH4jhOweBin0KEW/T8f9asWfLmm29KuXLldhLdgw46SAdHVa1aVSZNmqTnngFRxNxXq1ZNbrjhBrnssssUph9k0NX06dN1OYzt2Ha5HmGjftAJ/PTTT8sFF1yg7p+o7fNA6NGjh3Yam1EPrFzHcQoOF/sUwlr0pCK2Fj0dqPEdsZxbxByXDJOUcC0x1qWFzkQmzEPbu3dvhe/MM8v1YRuc/7CfPfyQwSiHBwf70KpVK82auf/++2faB2CS8zvuuEPTKJNvhzqAuQ/fcQoeF/sUgXOCIbrE0NeoUUP94/ECS0cp0xB++OGHOtLVDIEOCzblESoJVjbGMlHbD2NuGYyBW3ToVqpUKXLg1qGHHqr5dpo3b64PB9bHcrIdx3ESB/e5i32SY2JMi57OWDpAGdgUFlU6XYmPf+SRRzSV8ffffx9rSbM+rWngO0ILfLf/2zJR24/HykH07bpOnTpVXnzxRTnuuON2GsBFBA+dv/Xq1VO/vz0sKCOqfMdxEg/3m4t9EoOwmmgztyw++qjOWFr0Tz31lIwePVo2b96sy2NRLWgTa8oFvudU6MOwnhn1BZ8/nbznn3++7LXXXpn2j+tdoUIF7SSm09Zsd7brOE7u4X51sU9iMFrCpBvGFRKVuRKhJ2cNo1jDUwtGlZcfcL2stU6GzYYNG8oll1yio3HD+0lGzTvvvFM7bc2Hbw+bqHIdx0kc3Gcu9kkILV5a5diGDRukXbt2OmDKzptBJAxCT0ik5Z5HeAuyxRzeVz5Xrlyp4ZlMeRjfeUyUzq233qp+fuL37SERVa7jOInDxT5JMRHE996nTx/t5IwfGUtKBMImP/nkE10HK8gWfTyIvhkTmPMmQmhnfAu/dOnSGpY5ZMgQXQ/jIeEuHcfJP1zskxATTT7JKkmyscMPPzyTYHL+SE9ALhxa0maFLZiINteah9Xq1aulWbNm6sOPauGTI3/GjBla1zDWjSrTcZy842KfZJg7hDQIX3zxhbz66qsa4RIWSlw3V111lca4E/rIOohrspy3cAufCczptGU8QPgYgNG9r7zyisyZM0eXTaZjcJx0g3vLxT5JQCTNfUNHZ506dTSfTbhVbDlscJGwDOcVK+wWfTzWwuf7tGnTNCyTHD12HAax+YzeZaCXHXuyHYvjpAMu9kkCAsc5QiTx09OBecUVV2TydyP6hF2+/vrrOkCJ84Qlo/uD47H9Y7StxeEzFsCOBwjRxM3DW4rlw0/G43GcVIf70cU+CTBh5LwPHTpUR8Hi1w4LI357Im9Ib8ByWDKfKwQf4ca4/kyRSK78eMHfe++9NXf+iBEjXPAdJ59AK1zsCxmOFxcG4ONmcFR8CuEDDjhAbrzxRp0ghJYylgqCiOCbe4bBVOTJIfTSrr+Bi+fJJ5/UBxnrYFHlOY6ze7jYJwFmJCNjMu/4nDekQrj00kvlgw8+0AgXDAGNKisZMcGnDpABkwgdBofRordj5DsdtvXr19f4e4yHGetGlek4Tu5wsS9EEDKOFSEkGyXJy4iyoRVvIoifnkiW2rVra4esnctUPEdmRBmRepn+BztO4KHG20uvXr10IBmWSg81x0lm0AwX+0KClititmXLFnVfkDmSlAJhATT3BtMEWiqEVG3tmv+eekAeHY43vl+CAVd33XWX+vfNvHXvOHnHxb6QQMDM8NNXr15dTj311EzCxzlihOygQYM0QocHQ6q3dO24+WQmKwaGxefCJy0y54PEb9QFjrko1AnHyU+4h1zsCxiEzlr1dLbSaUlagXgfNlMFkhaYvPQsyzlMh1auGcdFDp3zzjsvdtxAOKaNJSBhGsaxR5XlOE7OcLEvBDg+jO+4bx599NGd3DeEWb788ss69aC5P9JB6MHqA8bo2ZdeeknnxQ1PhE5r/7bbbouFmbI85yGqPMdxsof7zsW+AEGwTbjocKWj8oQTTsiU/51zw7SCzBdLiz4dz4k9wIirZ1zBgw8+uJP/no5p8vczYQvnDUuXB57jFDQu9gUM5wFwTxB9c+WVV2YSer4TZvn+++/HQhBT3U8fBaKN4HMuNm7cqCmcSQ0R/9Djb4Sc0omNpXPdcJz8xMW+gMGIqmG0aMWKFXfKZnnEEUdItWrVdKJwlkPo07k1a0br/bXXXttpHltcO/fdd5+mW6BOYu7OcZzc42JfQHBMgJGSmLh5slmGW7JksyQ6pX///kXGbUG9wMjySXgp7pz4/PfWUb1w4UJdFosqy3GcrEF/XOwLAPO947Jg0NC1116bqUMSiEohOoWJP7B0dN/Ew8PMHmwMLMOdQ2I0qx9A6gjmryU5HNFLnBfqSLo/CB0nkbjYFxAYIjVp0iR55JFH5Mgjj4yJGaJP5+QLL7wgX3/9tZ4rSMfzkBUYx8tkJsTYn3zyybHzA8zK9cwzz+hgLN4CbPmoshzH2RnuFxf7fITWJ8eOn5nja9GihQ6eCrtvbJo+Bk+xDlbUWq3WWcs8umPHjtWJycNpIwB3DpOZW+x9UXjzcZxE4WKfz4RDDJkrFhGLHzGK26JTp04afcPyiFhRdFHYuSIvDtFIF1xwgdYPO0/77LOP5s4ZM2aM1s+iep4cZ3dwsc9HrFWPMdnIc889p9E2Jl7AYKqHH35YB0+xbFEWMK47xieDrZiysEyZMpnOF2MS6NzmfBaFaCXHSRTcVy72+YS5JshrQ0w9KQDCwsWxX3311fqbT9qR8XDk2mPUP6KSLr/88kxvQvvtt5+mlujYsaN26GLpUl8cJz/hPnGxzwcQLozORIb8P/HEEzu16o866igNKSRHPecHvJW6I/aeBHGMoI3P74/gM2PX/PnztWXv581xssfFPh9AeEzs8T83atRITj/9dPU5m2AdcsghmvvFU/nuDHUFI8yS6CVi78OTrgNhqm3atJEVK1bEBD+qLMdxMnCxzwfMffPTTz9pq/7ee++VEiVKZBIrXBGtW7dWsTKLKqsoEn5Y4qqhs5ZQzLDgE8F0yy23aKc362Dx5TgFi123qN+cwsfFPh8wo5MxKmackbLPPvusdjKyPOemKPvqs8JsypQp8vTTT2tmTDuH1BvcYnTWEopJ655642JTeHDu/RokL1wbF/sEQkXHaNV37dpVLrrootixAp2NJD/r3r27ng/Mb45oqDPAqOPBgwfrRC7xb0j8jdb95s2b9VyyfFRZTv5CHbbQ2bDxEI5a3il4XOwTCPtN5SYk8Msvv9R89PF56suVK6edsiQ6s5sjqixnh4BQd5jo5K233tJJycNpJo4++mgdWTt79mw9l1hUWU7+Qb2nzq9fv16vEw9e/paq93G6wvVwsU8QCD1Gp2yHDh00bNBECUjwxfyqkydP1vPLOXH3za6hLmCIyfDhw7X/IzyylvrDoLSPPvpI/ft+TgsWe5OlM51Q2ddff10fyp07d5aRI0fKN998o9fOr0nh42KfIKj0iD2VmnS8DJQi4sZEifQIhBC+9957sm7dOj1OvwGyx84rdcKmMeTtiHpj55Y5a2nd49u3vDmsF1Wekzg4x3ZvI+r0qxAWC2eddZY89NBD6mJzd2VywLVysU8AHB+VmfTFTLZx5plnZhIk3DlPPfWUChItnVQ9zsKA82SC/9lnn2ko5mGHHRY7t0TpENraoEEDrbuYP0jzH+o8MGiQPhUyudo1AeYmaNy4cWzwm4t94cL942KfR9hfjFYllf7uu+/ONMUek4ebq4FEX/YG4JU/51B/MN6KGD37z3/+M9ME7dSjW2+9VePy6Ry3h29UWU5iMGPiGSbcIcGfXQ/eZLmvmTTexT45cLFPAAg3RgdVzZo1tdMw3InIJCVPPvmkzJw5U5fDvOLnDqtDnLdFixapuMTP8kWIa506dbSzluV4qPp5zj/MhgwZog/f8KQzXBvcOMzIxsMX82tRuLjY5xE7NnLbMEE4WRmtwgMuBsIDe/furecVY/mospxdg1hgfPbr108F5q9//WvsXNNxS6c4uYbMVeYCk3g4p9R7HqYIOYMDw2MggP6p9u3b6xgIlrcHdVR5TsHANXOxzwMYLftp06bpHKqEBlqFp3VPK5+BP8uXL9fl3H2TN8wIbeW80llr5xuY5ITrYGkU/HwnHhN63Ja8Rb344ot63sP1Hv89LjXuexf65MDFPg9QgTFakV26dFG/fPhVliH9N910kwwcOFCPCfNKnzcQb4SGvg9SUTDpi51vA6Hp06ePutUw6l5UWc7uwfnE6D+hVU/qD+s/wVePC4foqCVLluhyfv6TAxf73YR9RHj4JOzs1Vdf1TQIYdE555xzNBph8eLFKlBYVFlOzuFhyTnHqC9vv/22HHPMMZny5hx77LFSqVIljXwy84dsYuA8Wl1mDgZCjGnU2Lkn7JJJ87t166Y6gnGfRJXlFCzcNy72u4FVePb5448/lhtuuEGPxSo9EJWD4HAuOf5UOK5UIPxGNXr0aPnPf/6TKX00rczTTjtNZ/8y3727cxID55G6jK9+wIABcskll2QKRqBVT1pq5lJmea/3yQPXwcV+NzAjwob4eTqorNKTv4UYY46J0bSYV/jEgWhTnxAe6gwhrRdffHFMcID69eijj8qECRNi0SCYtzJ3H2vV833hwoXaZxLfMcs8wb169dLzjFHv/SGbHHAtXOxzibUs+ezZs6f66sNuBFqZuBGYK9VHdOYPnE/qFDDJCZPDMGI53Mqks5ypIJkzYMuWLVqvvIWfOzhXdt7sbZb+Et5miTILuy7ppOVtlo5Zs6gyncKB6+hinwvsWGgtEoFDquKwzxKYWIPWJq16lvXWZP5grUcG7RDaevPNN2cKxaSzEMFHgBjVTMpp6qBfk5zDuYo37tOqVavKkUcemamRQ6OnadOmsmzZMl3O3gKc5MDFPpeYwJAWgX0mB4il3aVVSUuHTitCA82iynHyDq1ODL88WURr1Kix09SPdl3oLK9bt67OIUD9wqLKdDKwNyc+yWJJ5A0x8zBs2DBt1YfPMR2z3NfTp0/XhpA/UJMPF/tcYDcARqv+jjvu0EpuFZ5jIgyN6fLMV8/yUWU5ecfEHlcZIh41qtagBXrppZdqiKzlvmf9qHKLOpwX7kFa5oj8oEGDNO8QHa9vvPGG9oWEx5NwDzN6uVmzZuous3Pr5ze5cLHPBbRUgPhtRgfSGWUVHvAZk+KVXCG0brhZvMLnH/aWxeQmffv2lTvvvHOn8NcwuHjw4ePOoX6zfrLWtcIE49zwtoT764EHHtA3WIIOjj/+eJ0on0l47LxS7ytWrKh9VNYYiirXKVxc7HMIoo1xXsjTTd4PUutahQcyXTIDFW6Foij0HC/Xzh6Kuwtl5OTcmbAwWpacOGS+DPuQ4+E3/Po8GHhgc438zWsHdv0wHqC01KnTZGzFVcm9aoQ7wi+44AJp166dpqDmfLqvPjnh2rrYZwM3AWDkwKlfv762cvbZZ59Yhcd9wOst7h2zqLLSFTs/ibSo7YRBVDBaoKQ9Dk9qEgVif8UVV2Sa6N2FaQc8aLlPSVlMg4YsolHnMQwtfM79jBkztA7YwzqqfKdwcbHPAeyPVWIqNa36cMuG79dcc40m4KIDCytKIsJNztsMrUFyADGghlHFCCod2bB06VL9+65geD3rr169WiNsrOz47Rkm9rjNrr/++tj1yAqic4gYwf/M/mEu9jsw43zS2c19GXUeDe5d4uzJ9Lp27Vpdl/skqmyn8EG/XOyzwUSFkLL3339fBSNc6WndPP/88ypWiF5Rat0gxlxbm5aucuXKGqlx2223yf3336+jW2n54U/n72QF5TMKWpJMO/jCCy9o3hvKp+ysBD+3Ys9DmTeyV155RebPn6/rYlFlF0XMGJfA9Jnh/g/OnWF/482We4F7gjderKjU+1SEa+Ninw1mvNoSgROebhBfJp1X+CxtaP6uWqPpBseK6DLQpmvXriryZ599trb4wv5z3Fx0aHOu8AOH4W+kxKXzDwEhfpuIJsre1fk0sWdQFQ+W8GQmWVGyZEmNu6cemkWVXRQxI3EfI5J5E7LzFiX2PAwsDw6uH8zuXe73RBllxe+rk3tc7HcBImOCg1uBFswJJ5yQ6SZgYhIGVpEDhxY9FlVWOmOVCFcMoyeZsIJJpzk3nCPOF9ccEeE3JrtgRi8YOnSoQp4V5ue98MILNYyPuWaze3iaoOAiIgqKBGhhMYqCfbnooos0Hz5lYMlS3wobM0aFx6fqjhJ7BhPy4OTaWTirnUs+7WGcF6MMvz6Jwe5TF/sIEG/2mzBKxJwUCOEUxkBcPdEdnDM7zqiy0h17KJoxV+zVV1+t54hWPVMJZmf4fWvVqqUuBFr2RMxQblb1wR6ujGkgCorUxtmJPZAlk3hxOnZtv7N6oBQlzMhtE55icFdij9uNScUtvp76z3Uh0yuJ6LiveYi3aNFC336BRhP9JvXq1YuEAAgigTp37qzhnPTjJFKPiiqcPxf7LLCWCb56KuC5556byTVB3DYPAJJCsSzHWJRFw8QXIwGZ+dERe+K1s2vpUQajMxs2bKi5V+gDsdGYUeeVv1Emg6oYsUynIpPF2PXJCgbCXXXVVdKhQwdPVBfCjGvALGA2MhyixL5MmTIaX8+bmok91wPGjh2rfTC8CePS47pQD4Dv/J23hyhYHlcemUtJMsgMcGgH5fpDefdxsc8CKpXZ5MmTteLio7TKTguf9K60QK1zCrGLKqsoYcbNTtpnztVhhx2mE09HJYXDVRNej9Y8sx/RgUp9YB3qQ1Y3Ob9x3nko0Ark4RufiTEeriGt0kceeUSH91M2ZSRDvStMzHhQM5AqnPMpSuwRbmapmjp1qp5/zFr29KPQgmdUM+cZcbf1bL6B6tWra46dKlWqKCzLA5ukdmgCk/bfcsst6nKjTwhzsd99qN8u9hFYpeVctG3bNtNrLdDywE9MimMbLVvUxQLMEF5r2e9K7DlnnGeieWhl00Lk99ycS64VxrWiVUpkFH55WoZ0/vJQPuWUU2J1zqDDmP3CTWAWVX5RwQzxfvzxx3WkrJ2rsMgbnF/e2KLmmeWT64rhLkPwbb177rknljuKZWwdrjn3Ee483Dh09pNnirc8+swwW9bJPZxfF/s4qFAY+8vkGPGz8QCJtfBtsgzHVtj7nCyYRYk9dQrjXHGO7TxjixYt0g5bHp7c8FhOzynlmNAQ68+bAR3BlEcEFW8Z5F4n4ifcuU7ILCGf5H6xBwZlRG2jKGDGPYo403K3cxUPUVOMRubcsm68i8WuIUakDkEMti7huIy23ZUxDgI3G/MJE+Vlb89F+frkFe4nF/s4rEVCC4Np79i/8GhZfJWMlmVaNrOocooiZmGxJxMluYR2ZcR2Uwd4Zbc3gKjydwVCEBaZsOFWYOpIXAh2HYEHEYJChyIupaL44Oa8ccwY9z0BB/jso0Yk474kRJaHJK16E23Oe3y5dh8xSA7fu5Vx3333xcY5hFv2fIaNPhvqAw8UWvb2QI/fjpMzuMYu9iHYNhWQystoWSom8dv2Gst3okyIFLBRg1EVvahiFhZ7cggxFy/heQgqLhvqAu4v/sZrPikMXnrpJQ37i3L35ASWN4GJN35joFZ8CgCu6+WXX67btzzsWFT56Qp1HuO804DBPUknKvemnSfqPW4dzhV+eh4IuL9Yn3Medc+Gxf7JJ5+MlZWV2IdBL0yYeDPguwt93uAaudiHYD8B/zETkODvtUoKdNIyApOYcs5RVhW9qGKG2DNaFpEg+oWcNNzwvM4//fTT8swzz+h3OuO4+QmbZGAUk5BwXrFE3NyUwfXBcPEQBhj/pkaiL0b48jAwKyrCwnFS3zEedoQ+MiguHHXGNcRtSWcq9wT3MOcS21VDx8Se1n92Ys8n6xDZRkBEuB8FKyrXIz/hPnCxD4Gxr8TV09EXjiLgBqDDj/hhE5CoMooyZog9r/pcZ/zkjDomVUF8mB3nl7h3XAO0umkxJnokMuVg1GkiTXAphDsfgX0h9pt8Plx/RKww62FBYUJPxzgdobTcw52xfCc4wSYR55xYAwd2dY2yEnvCNS03UdhYB7cNk8x8+umn2/9a+G7ddIHz6GIfAkNsEHSmFwxPTsKIUFqlHINZVBlFGTPEntBLHpC8DRGBQSctfl5C8hgh26pVK53GjgFO5M+hI5xOb+oelsjWHMJDHcRthKso/o2NmHL81Fx3G/rP8lFlpQv2EOR+I5YdEWYe2fB5ITCBOk+Iatg4N9ldn6zEPqsOWh441IfHHntMB2qZRZXt5B4X++2wTSonFZjOupdffjlTIihADGh5sp8s6776nTEL++yJ6mA8QlaGS6BHjx7qK86Lzz47qIMYnbX0D8QPwCJvDiNCJ06cqPuQzq17E2LOMa4TOql5wwq36umgxb1GOgR727J7JKrMeOLF3voA/vGPf6iocy/htgOuO+GWjJ6+/fbbNbWGWVTZTu6hLrvYB5gQ0OlKquLrrrsuU5geFZ8Ky6sslTg3lb4oYZYbscdIr4AAEAYZFvtEnmMTH1r3jPpE2OMjTqiLRGAxzSHbxtLxOpsR8cJbFlM2hus7os9YhSZNmugyZlFlZUW82OP7p2wGS5UtW1bKlSsXA1cRLj3Gr1BvyJdkFlW2k3tc7Ldj9sUXX+j+0eqzVg7hZnRQ4X6wwR2FsY+pgFlY7Hc1qMoesvjKaVEz2CZcDq3rRIkt5diDmpG6iBwDg6zFCbjtyHeEO8dSALBeugg+x2HnnNh1yykU774hgoqoG9JHowW785YTL/bW6Ys7lM57OmoNWvMVKlTQwW+4/xgjYRZVtpN7uH5FXuy5AajMvKriMyZHd1gAaG3QqUfnng0LT5ebP9GY5VTs+Q7UN+oHy3Ad+M6DlU/+H95GXsG43rxNxI8UBVr7NusYdZFlEa6oslINE3rebhhwhv+clnb4+IlOuummm9TNYtdsd+7JeLG3xhPCzoOdBy73PJOak7mUfgMitEjV4G6cxMM1LNJij9CwbxwvvktS88bf/LxmMpoP3zL7li43fn5gllOxN0yEMIQIMeBVHv86eVFYJlH1Iix4bANhC19voE6SgZORvWZRZaUSnD97cHEf0vEaP8iMjuorr7xSs5Tmdda1eLG3bdARb2NUwoY+8EZFnhyE3yyqbCf3cP2LtNhbheTGJ4aYcMFwxyyv9SRjQnwwKn6UWDkZmCH24URopLilTmFR549rbsY0hmS+JFEWb1OIPb8nql6wfdse152OQdwH4SyPfMdnzeA5BoFx3VknVa+9HS+f9EcwlSB+cztewGdPaDGx9hbnzv2xu8ecldgznoKBdJg9fDDWIeS5T58+uo9oxu4+aJyd4doXabG3Vh4Cw3B6WvXWUcUNzwAT4n59ztLsQRTM4rNe0t9hER1cX5YNY9cBI8yPVieuM76zfF5EJyswtstIaQbKhcdUAO4N3DkMtrK+GvYjqqxkJnx+Gc1Kum7eVsMDpwBfOq1qRtGyHpaXezErsY8aVMV2gLBX3ih4CFvdiCrbyT2c3yIr9myHyoYfnkEcdBqFQ88sXz2tesvNUVD7lmpwU4aN68yUdZxHa9mHBT3KqHfkyOHhSlw+8fdEP2GsG7XdvECZXH9a7rgNcOeER9YCdZMHAS1Ns1QSoPB1oUFDBtf4MQZAxJQ92Hgo25tMVJk5JTdib+uwXSw/rndRh+tZZMUeo6LxSklr5/TTT49VSCAvOq/4tDKohKl0kxc0CASiCUSxEDttE7Pz0EQw58yZo3WLKBD6P+w7IOrEWtM5R+QTc/0SAksnHoYoRG03L3A9w4JEHWROXAsRBFq//I3QUeqnPbBSoS7YfYex7xwDI2TDAwWBDmnCUOkU5ZpgiRDbXYk9fTFYvNizz/ytoDSgKME5LdJizyc+QlqhDKqxCkn6W0LBfCTfruFG5doi8uSSx8/OCEhy4YR94KRKIB0C0R+kz6WTzr4Dg2kYsYzQUicowybFSEQrMysoF+M4SK/M4KL4Dnpa+9QFHj4cJ5YIMcxvzBBbhJ7ZueKn1SSDK6mK6a+yWbsSdb5N7OOzXoZ99vFi7+QfXNMiKfZUMIxWZZ06ddTVYJURmPSaEZ2exnjXcB4RB9xcRHDw0KSzk/OXW+gwJEfNxRdfrKkUEAnKz29BsLpAHcWNQSs3fvQ07j066pnfINkF30QWI+qFeV9p0ce7qPg/Mfbki+eBwPFgUWXmlvA+8BAh8Z1tF7En8s2M+hNVhpNYiqTYUz6Vke+4FmhFhkcPAv57wvJwSbDvtryzM5xPwioZgMNbEqKPgODK6d+/v8Zr03IksoXfoiDkrlu3bpqMi9GthDzSqkeI81PoDQQHo4OQY7Cw0TC0gnkjIT7dOpsLYt9ygz24MO4nUjfzVhI/UhihZ05lsoAS427Hn6h6buVhdLiS3dS2zQxU8bl2ospwEgv3aZETe2vB0JphUg1GTFpFRPQZTcjrPL9j7E+y3dTJRlhkEmX5XQ/CsP9sD6MlyrgARtfGt4Z5A3zuuec0gsdar9SnqDILEvbdBJYHEX0gJJ0jZj7sTgPrh2BMCa4rO+5E1HHKAkZEk/qChz7pJ3iw2PaJeiKjLK4lGgNEutn5jyrTSQyc3yIn9mZE2ZBtkaHhVhHx2+PbpJXJ/mIu9DnDHqKJMISrMM47xnGQNgM3HnXT6oZBLDquP/M7Y4VZR9g25wu4b3E9MiCMsOF4Hz19IgQiEGKJ0IfDYaPKzi22H0RV0cmOS49AB8JYaUgBHfb0i+Cyw+1HagQenIV1zYsKRU7sqUwYFYtMi0w6zT7YzUDFpJMR947dRFHlOOmJPbAYyMWALlx85OK3+gFEs1x44YU6+MhCCLHCcPXZ2wWGy5HBbIwXYb7d8D6DTUJSo0YNTQVh90Ii95vzB/bAofOd8GXehnh4Ajl3SFNBqCcTojCQyjTCxT7/KFJiT0WibCo3nX+0zsI3Mp1wZP/DZ0uHI8ux31FlOemLCSh1gFxJ5HLBX2/1BKi/hJZSb+lsNOEsCMGi/LDIU6dxOeI2QURJgRAeLwJElzEimInXmZCd/bR1o7aRV2zKSUJs6QfhO+cT+M7f+I0ACZaNKsNJLFzrIiP23CC01Klk+ArpKAr7ZHHh4NbhZsAK4sZ1kg+uOfUEI0kX8f902MdH6FCHEVDqLnWGeovxmZ/1xraDsR22TSpiQijJSR/eR2C/+Q0ffjh1c36+tdr5y6lFleEkFupNkRF7q4BEejB5BVPhmQuHTitecZmazhJAsc9R5ThFA6svdNjSkU9US3yHrbXwq1WrpmGbtFrNaFwkSvTDAo/hZqIeM7EI/nfcSvEdsUDGVubXJRoqnHwsahuJhmPPCVHrOomnyIg9lcpuXjpmr7766kwjJYnAwb9IHDU3EsbNGlWWUzQICyypBho1aqRRLFZnDOoyESYMEsOVgqsCo86b4OdG1Gx5g/0Iu23wzfNgoW+JWZ+Ye8HupzB0gjJylRBi3lDMvBFTNKEeFQmxt5uObRDyxSCe8I1hqRG4KWx/WT6qLKdoYcYQfzplaeHHd9oCUV1EoPAWQAc/91DYsqvX1DfqaZQLhN+YLhPhbty4sTz00EM71WGDmHoGpvEwoGHDfWfmdbroQv1Le7GngmN0BDEghoEx4XBLwsG4gYcPHx670aLKcYomVn/5XLZsmQ4OwzVyxBFHxOqQQb0m7QMRLyTXo05zL1EOZZhRz4yw2dskg9QYqcs9w/3IfcMAKAZ74ZePz28D1GM6kplSk4RnxLrbA8QbLw71N+3FnvIw3DPkSWdYvvleiVogFhifazhuOqocp+hiDQaMt79+/fpp6zo+j47VaeZUJYqH1jUjiYnYoZzsjLh3RJr7BH88qaEZ4Hf33Xdr3DxRNfHbA1ySDFxisBIjlok2M7O32vhjcooWaS/2VHLKA0bqEfPLNu0moTXEqzevx4SDYexrVFlO0Ya6ZK1z/Ob456nLjLSNamkDb5BE8lC/SapHTDkuHlxCPABoYDDvLiNycbkQJUY6aLKEkhyOPgIGIUWVDUwhSJI5tkHmVsqxgVIu8k4YNDCtxZ7XZCo9qXJpjdExG75Z8G8yCIXXc5aDRG7fSS+oG2bEiDOPLe4VsnzGTwZiENKLf/2CCy7Q+oeIV65cWV544YXYnKu4XkjbQWQPI1yZSKR06dJZlgn0M5FUjL4mJouhMWNTP2Iu9E4Y6m5ai70Zw98JtwzPRkSoGq0yMiyyb5jfIE5OoFGAUa/JQ4OPHOFFrMP9QVHwNomQ4wLC72/3Qk5gPdI1MEaEyV14uwiHVNK48TrsRFEkxJ5t4zeNT/PKjYbflVmK2CYWVYbjxGMuHcQVtwkD9WhQEOnF5Bw0KvCjx49k3R14OPAGyn1CxzADqCZNmqR+ecI8re6yL4m8d5z0grqRlmLPzUg55sJ55513doqeoMOLFhk3Dcuxj1FlOU5WUMfCRjw+UV2ERxLjji+d/EuM4wjXvV2BuJNdk/w2uHfIIUN0D+mK6VviTcLeLDBvzTs5gbqalmLPzcBNYAmtGPBi26S1hQuHVhKzIbFvLJ+o43WKFtawsHrE/xlJS8cruXVICMaEKIzQpsWPr52BUMz7CnxnNDd+fRog+PWpr2+++abOjkXudxosbIvtUD7bsTrrQu/kBOpKWoo9Qo/R0mrZsmWmSZYResItuQktNQI3TlQ5jpNTqLdh4//UaSJviLRhjlfEnzh9RuPWrFlTBZ3c+d27d9dIHJZhLAgdvzwsqJ/hTlezRN2bTtGBOpN2Yk9Lx4xUrgyiIkeIiT3REUREEApnqRH85nESibW+rdERNuoasfqEXpLfxkJ+szJvwTuJgDqUNmLPzcC6doNxDGQs5NU4HMJGClha9cQ4s577PJ38wOp9lCHg1E86d7NaBuM3yvH66eQV6lFaiD3rxBsjEZl6LT4UjvA4onMYjs5+uQvHKUjCrX7gu4u5k9+khdhzowDlEwJHZxavx126dJFbb701Ux5ypkerWLGihsmZRZXpOPmJ1VkjahnHSSQpL/YsC/jeJ0+erPnoma3nnnvu0fSv+OrNhcMnoxibNm2qHbcYLauoch3HcdIJdDJlxZ7lMLJZEr1AwiiGmlsrPh5yjJAbhwEpDEaxV+iosh3HcdKJlBZ7ysTwzdPhSqbBXeUSYaBK3bp11c2DyLMdf4V2HKcokLJiHy6TuGRGGsaLezwMXGHELEKPRZXrOI6TjqSk2NMaN187mf7IFUJCs3hxj4dUsB07dtRtYPHlOo7jpCspK/YYIwvJD06qWIacx4t7PGQZpGVvFlW24zhOOpLSYm/TDD722GORU8TFw0QPzPxjFlW24zhOOpLyYj9ixAh55JFHNKFUvLjHQ4z97oo929wVUes4juMkCykv9uPGjZMnnngici7QeBhJy0QlZlFlx8N+58ZYnv4EjE9/EDiOkwyktNizjzNnztRc33S+xot7PIRmMqrWLKpsg32w8Ez+T/8A+098fhgGc/HQIccJ+8XyfPJ/iC/XcRynMECbUlLsKY9PYuZJGcvM+vHiHoYBVTfffLMMGzYs1vKOKhvYvhkZCdnnHj166AQozz33nL5JGFWqVJF27drJp59+KkuXLtWJqBmdS578efPm6TH7wC3HcQqblBR7MMHHGBGbXZw9DwMmhp4/f76uZ6Gb8SDM9hviTdZMon14UJx33nly0kknKWXLllWYkOL222/XScvpDyDBWqdOnTQclPlBEX+M/Y3fluM4TkGRsmIP1kJHwJl1Kl7gDSZpfuaZZ9TlQ6bLsHsmHozfZsyYoRNLMOkJMwvxsGC+2jp16qjfnynigP2mhX/DDTfIxRdfLBdddJFce+218vzzz8uQIUNi+fJd7B3HKUzQtZRu2SPcuExuuummnUSeCJ0LL7xQKleurHN34kPHooTX3hI4bvLsvPjii9qCJ2MmrfeXXnpJxowZExNvM9w8gwcPlurVq8tVV10lf/nLX3RyFKaVY3mOGXOxdxynMElZsac8lmNfP/roIxX1sNAj0vfff7+6YZjeLbvEZ2Zz5sxRvzx5dPbff3+dD5QWPH/nrSDeKBPBZyQv22J5IoOYc5SWva3jYu84TmGSsmKP0VLHNVO1alU57rjjYkK/33776QQlHTp0yNQSjyoXEbYHwLJly9TXTtQO5dCyb9iwoXYCm3Ec4fVZ14xc+qRP/ve//6058xF/99k7jpMMpKTYI5wY5REl869//UtdJyb2zOBP65xZ+c2yatGbWHPMzORPWQcccICW9+CDD2qUjRnLxou2PSwwQjA5vnr16qkfv3379rH5RV3sHccpTFJS7PkdYz+ZoR/f/F577RUT+woVKkjXrl1jLfKsIm+A/cIWL16snap05lIGHbItWrSQVatW6e9Y1PoG+4To4y5iVC8hmR988IHuI+Zi7zhOYYJGpZTY8xsgnvjR8cubyAOiT/oEomk4BrabVXn8HYFmwBQCbeGbe+yxh/rcJ06cqPvMMhBVRhiLDvr666/1LYHQy82bN+vfXewdxylM0LuUEnuEk7JWr16trffLLrssk9jTMmciE9wnLEtZUULL36zFjzjjqz/jjDO0jL333lteeeUVWbt27S7LiIflWJ5OWSZUWbNmjT5IXOgdxyls0KeUEnszUhsz1+wxxxwTE3qiZxD/7t27q8BiUWWA/U4n77Rp03RKQ3z9lMO+4R6ySJrcngfz4WMu9I7jJAMpKfa0nol0wa8e9tUj1q+//rp88cUXWgYWVQaExZ64ekbJMnjKxJ58O/jfsdyeB8rOqevHcRynIEDHUkLswwK6YcMGXf6QQw6JCT0Qa9+nTx/ZtGlTtmJrYs9xWuZMmwCFgVEMksLfjiXqPDiO4xQWKSP2/I0WPXHz5MJhwhLi6U3oS5QooSkTZs+erWWwvV25UMJiP3r0aC3vyCOPjIn9G2+8sdste8dxnGQDHUsJsWd9jI5ZRrTim2ddyihevLicfPLJ6mfnd4zl48sIExZ7YumffPLJmP/fxN4GZLnYO46T6qSM2JsRblmpUqVMk5WQvpjMk/369VMXDpbdvpvY851UxG+99ZZmsaQ8onFefvnlXEfjGLiPzHKznuM4Tn6BjiW92JswY8OHD9fskrTmTexxv9ASJ/sl+41A50Rk2Se2RR8AYZykWLAySXdAlA4duCy3K/9/GLYLrAdRyziO4xQ0KSH2CC1/o6XdvHnzTHlw4PTTT9dBTIRK5kaYKZNlEefJkydnypx55ZVXaggn+W7MosoIw7YxHh7jx4/XY8UVZNuIWsdxHKcgQO+SWuwRSQwhZ5QrqYPLlCkTE2U6Zkk8xmhXs/C2s8MEmkFQ+PztQcIn6RPYX1uGz6hzwt94m8A4b6RctolMzK3kYu84TmGCTiW12PMdo4XNTFNkpETgbV3+j0iT2wZDdMPbzg7KZx2SmBFvT0cto3Apu1y5ctKgQQN9EJjFu4j4bkJPCx7XDy6hbt266XceUrndJ8dxnESD1iWt2COkCCjGFIGsZ0Jv6951113qx7f0CDl14Rhsw/aPYx41apTcc889UqpUKd0G/QMIPvtt24g3UiIsWbJE3zxIu0ACNHLzcLxWftS2HcdxCgp0KGnFnk/Em47OCRMmqLvGhB4IkSSXPeGWLMfyu7vP7B+GoA8cOFAFn31kG7TwafEzYItJStgfM87TV199pW4bBmYxgveTTz7Jsv/BcRynMECLklbsWQcRZ1IROmbPPvvsmNCTJuHEE0+UNm3a6PJY/HZzQ/gtgpGzTGOIz56WPbNWHX/88ToLFfl4SKVQu3Zthf2m5V+tWjV98NCpS2I1zl+8y8dxHKewSGqxt++4R0hljOia2B988MFy6623qihbqzx+u7nFXC72NkEue8SblMlMPM7ALfLnIPzk4QFSNDz11FPqp581a5b2LbAu5bjQO46TLKBJSS32+MNpvRNeyWAnE3vWYSAUA6ISJfaGlYexT4ywpcMVf3ydOnXkzTffVOgYZtpCBnMtXLhQz5lZos6d4zhOIkhKsWdZ1qGFvXLlSnWRhKcdBCYawbdOS5rlWCdq27tLuJVP2WH4WzwsC96adxwnGUGfkk7s8XUDvnOSlN13332ZRsySAI3OUHzj+SmylBkVfRNlLJeo8+U4jpNo0KekE3szIl8aNWok5513nk4VyPKIPh2zTOrtKYgdx3FyRlKLPcsyYvbQQw+Ntepx5xCC2atXr9hMUu46cRzH2TVJK/a4RYhXJ9ol7MIhjQEhjwsWLNCoF5aL2qbjOI6zg6QS+/Xr16vQsyxJz3Dh2OxRgCsH8echQLksR+do/PYcx3GczCSV2JMtEiNTJCkQHnzwQc1Vb2J/4IEHyr333qupCMzcheM4jpM9SSX2lk4Y0a9fv76cccYZmZKeEWtfq1YtzZODuQvHcRwnZySl2CPmlStX1pa8ReGQo4bZqPr27Rtbzl04juM4OSNpxJ6WPNtl2XHjxumgKX43yELJ4KpFixZpxyzluQvHcRwnZySF2JOTns5YOmjZdosWLdSFY0JP6/6UU06Rdu3aad55zIXecZxUBO1CE6EgdSxpxL5Zs2aybt06zXVDYrEjjjgiJvbE1t94440ybNgwFXosajuO4zjJjAk9egiJ0tickDRiTz54skySVOwf//iHHHDAATGxx81DWuG5c+dul3oXe8dxUg90lcGgW7du1e9hy+8+yEIXe/LSn3baaSr2DJSio/aggw7Sh4CJPf575nMlSseeiFHbcRzHSUasRY/Q06idM2eONl7RWjNLqMiy+eHeKXSxZ3QsIZXkumFKQBKcmcgDaY2JzGE2KDthidovx3GcgsC0i5TtzJfdtm1befHFF1X3GFNEQ9f6I80S3dJn+4Uq9vvss492xnLgTZs2lVtuuSWT2OO7f/vtt2NJz/Ljiec4jpOfmNijg8y89+qrr+pkTIcccojcfPPNUrduXZ16Fe8FDwT0F7FnLBHrsG5eta/QxZ50xWeeeaamMX744YflnHPOiQk9vzFDVOfOnWPzvrrYO46TiqCDGPNcM/mR9Usynuiss86Su+++W9544w3p0qWLTJs2LZbo0SyvelzoYk86BA60QoUKcu6552aaepC8OM8884xMnDjRxd5xnEJDW+YBvwdaRov7jz+CVnegaX/++QdD+XeCv/M7y5kvHkzDmMb0ggsuyNQ3CWT4veyyy7TlzwBS/PpM4ESHLq18M/Q0t1pY6GLPU618+fLqymFe2fDUg4g/J4VXG8pItA/LcRwnJ6jYqwahZXFCLxGEBT/QLdZjfQwdw09/zz33SJkyZWJ6Z+DRYK7rSy+9VCpWrKgunvHjx8uWLVt0fTPKy43gs3yht+wJreTgwk85BlIRW8/rDLY7TzLHcZzdAa1BoE3Qf/v1t0C/fpKN32+W1Wu/laUrVsmiJctk/sIlMverRTL7y4Uye94CmRN88n/+zu/LguXWrFsv32/anKkDdvbsWVKtalU55eSTY5oXhfVpVqpUSSMWCWKhMxdXULilj2Wnj4Um9uS64WD4PPbYY+Xwww/PJPakR2BwFVMPYqwfVbbjOE6i+PXXDKHPIOM7Habfffe9LF6yXKbOnCsjxk6SPgNHSJeen0jrzr2kebvu0rh1F2nUqrM0CT75f+suvaTLx59I30EjZeT4yTJt1jxZsnSFbN26Tf73v1/UNUNEDinbTfOygohFwtGPP/547cwlYGXQoEGyZMkS1VRzE/Fp36OEv9DEnlcVOxDcN7hzTOxp9dMx26pVq9iEJu7CcRwnP0HccdHQkv/1t19l0+bN2oKfMftLGT3+M+n9yXDp+FE/ad72Q6nfvIPUatBKqtdtLq/XbiSvvNlAXq7ZQD/5P3/n9/dadJAW7bsH6/WXvgNHyriJU4PW/yJZtWadDBsxYqccYNmx//77a0ALUYv49Tt16iSffvqpxu6HLcoTUuhij7uGNMZhXz3hSC+99JLMnDlTd9jNzc2tIAzXCC3v9d9tlDnzF8qwMROlc48B0rRNV3m3WTup06i11G74gfLWey2VN+u/vxP2my37duPWUq9Ze2nWppt07zNYps9dKKPGTZC77rk30L99Ytl9cwoN49KlS8vFF18sjz/+uOYN++KLLzS/GJ25Yd1Ee9HgQhd74EDDB4v/vkOHDrqem5ubW0HZD9t+lMXfLJfxk6fJxwOGS6tOHwet845SZ7u4v4mIBy32WttFHPHPCn5nOZbX9QIop1GrLtLzk5HSuWd/efDRJ+SoY0+QvQPBN/3LDfj0jzrqKDnvvPO0w7dOnToyePBgdRPFR+/gHSl0sQ/DE+vEE0+UBg0a6JDi2bNny/Tp07Wj1nEcJ1FMt+/Tp8mUQJfGjp8gvfoNkqYfdJBqtRvIs6/VksdfqCH/93w15fHtn/E8/kL1nYhcjs/ngs8Xa8izVerIE8HnDbdXlBP+fpaU2K+kFNsDN3buWvhhaDCXLVtWxyw1bNhQ/fqzZs3SKV7DDWcGqC5btrzwxR6XzjHHHCPXX3+99kA/+uij8tBDDzmO4ySU/2z/rBhwz30V5aY77pWrbrhdLqpwo5x96bVS/uKrpfxF/1TODL4nCso965Jr5IwLr5KTyl8spY8+WYrvX0aKFf+LFNuzeCD6uy/4NJbpAz3uuOM0dJP0MwzSmj9/vkYDMV6JSJ6kaNnTYUtnLf4ofPfEofLdcRwnkZQpE3wG+nJwmcPkwNJHyL4HHyF7lzxS9j7oKNnn4KNl31LHyl9KZ7BfmeMShpW5L5Q6Rre5x/6HSrF9D5Jiewe6uFcg+Hlo4Ych3cxVV12lmsucIbh4EP51677Nf7GfMmWKpkUg22XUzjmO4xQcgajusU8gsAcEQlsyAME9WIqV2M4+pfIHK3vf0lLsL4dIsf0gaN3vG/wdwd+TgJXECD5aSwOaln7t2rVl8uTJgcZvzH+xnzRpkvqUonbKcRyn4EFYGfezf8GyR/CAKR48YBB9xJ7WfUzwg99x6UTub+4g0pGBq08++aSmYFiwYGH+tuzpCcZnxExUDP9lgpJy5crJSSedpNCxEI/95jiOk1fQFEas8nnc306Qw48+XsocfZKUOvrkgFMycfBRJ8tBR5aVAw8/Sf56+Ik7OGw7wfcDjzhJl2HZyHWD3+PX0fUCSh5RNuAkOeDQ46XEQUdluHH+Egg9ok9LH5cOPnzttI0W8V1BZgJLuYAnpXHjxupV2bhxo2zatFlWrFiZP2IPxH3SOUBPMKNix44dq3lv6DUm8oadcRzHyS+aNGkiLZo3l/feayCvvFZNHnj0Cbnp7oflutsrynW3PRjA5w6uueUBufqW++Xqm++LJvjt2lsf2Gm9a1k3+HtW614T/P1ftz8kV/37Hu2kLX3M32Wvvx6+3aWzXfD3C76X+KsU26tErjts8dMzWIvMmgMHDtQGNqGYZNFEizdt2pR/HbRhcOeY/fDDD5rb+Ztvvgk2vtxxHCdfWBHo2ooVAcH3L2bOlo/6fCJvN2opr735njxf/R15oXpdeTHg+apvywvV3pHX3npPar3XQho0bydNW3eW5m26ZtC2q7Ro102aBX+r36ytvFmvubz+VgNdl/VerFFXXq/VQN6q30LeC9Zt1qaLLs96VgZ/axZ8Vq3dQK6+6d4MsdcO2rDYb3fnlMCds1e2gk+6mfPPP1/uvPNOqVq1qnz44Ycq8mh42Ghwo+8FIvaUacH+ngLBcZyCgNTEpEPYGLRqp8+ep3lr3m7cRmrWayE13m0ub2yn2ttNpPo7zTTHTb/BI2XKtFky96vFsmDRN/JVwILFS2XRkuUyb8HXMmHKF9Kz/1Bp2qabDphi/VoNWkqztt2k1yfDZeLUGfLlwq91edazMlh3xtwF0rlHP7nhjooa+aMdtjGhNxD8klKseHTrHl886ROY6e8///mPfPDBBxrtuGbNGm3FI+ymtXzS0C5QsQ+D2LMTjuM4+UUgdTHBW7F6rQwdPUGat/swEOhWgdi/HxvdCjXqNpM367fUHDjTZ82TDRu/l/8GWvXbb7/LrwF8/o5o/vKrrF63XiZ8PkMfHO82bafr1wta8916D5TJ02fJmvUb5Jdff9XlWc/KYN0t236SEeMmyq33PSJ7/vUwKbbXgRFiD6UyonPihJ65Pm644QZ55ZVXNFUCbnHeYNDUsIU1nO/oeqGIPeDLdxzHyS9++408MX9qgMi0mXOlXbfems6Aljjibq16qFqnibb2u/UaqK3wnwMdzMq++36TfD5jjnTrMygQ+7a6Xr1m7eSjvkP07eH7zZnzz4fttz/+lMlTv5D7Hn1S9i0dtOwJ+UTsLQwTl46GaBIOeoAU32d/OfjgUnLiCSfIFVdcoRmBP/roI3WB01pH5Gm5ZzzcMoxjD2ttoYu94zhOfhET/F9/k/Xrv5PhoydKgxYdMkQ+TuihSu3G+vlh70Gy+JsVwbrR+blopZO5ctzkqdLho76a6Iz13mnSRjr36C8TpkzXPPa//76jjzLeps+cI//37MtS6piTt8fcB6jgB1gsfvGSUvyAw+SEk8vJXXffK40bNZZhw4ZpGoR169Zl6gMNG3+PPxcu9o7jpC1oGGL/47afZOHipdKz31Cp3bCVVAta8FmJffXg710//kR97b/8siN7JK3nbT/+JBs2bpKvl64IWuYzpeeAodK0bVf11bM+n83bdpPeA4fLlOmzZcmyVbLhu+9l6w/b5H/B/ljL+4+gZT9j1lx5/tXqckzZMzNa8nsQfRMQtPL3CgS+5OEnylFlz9LUDQ8+9rR07NxNc9qEzTTaRJ9UCIyQxaVDiz+s4S72juOkLQg0Ovbdxu/ls0B823XrIzXrv68dsfFCD+Sir/ZO00DsB2SIfahlv23bj9rROn7SNOk/ZJS24Ju166at+Zr1MtavWb+F1A3+37z9hzq5yYCho2XsxM81XfK3322U38mXHxh+/OkzZstzr1STY08+U/bAdVM8w5VDKoWjA5G/4Mob5dYHHpdnX6+tET0TPpsmm0KuIQTe3lzMmK+bUPYBAwbopCs8XOxcuNg7jpO2IIi/BYK/cnvHLJEzb9RrEYh9052EHnaI/SfaekeUzdYHLfSxk6ZK++CB0eD9jvJ2o9ZSK3hLQODDZbwZlM/bwzuN20jDlh2lbddeMnzMRFm6YmWsBf7Hn3/I5CnT5OHHn5HSR5WVEiWPlMOOOVVOPfdy+ce1t8kt91WSx56tIi/XrC91m7aTTsGDY+LnM2X9ho1aBlMmWssd46FGGHv9+vXljjvu0CkMEXvMzoWLveM4aQsTfiOEX3+zXHr2H6YdqIg94ZVhgTZM7Gm1z6eDNhBUfWAEWkie+76DR+rsU4RrZvXAMCiHz/rN28vHA4bJlwsWyU+BruLH37xlqwweNkrue7iyHPf3czX7ZYUb75aHnnhZXn6jnvYpaFho8EmUT4OWnaTf4FGybMVq3R9m1DKhx3DbtGnTRrMFk52gdevW23/JMO23cLF3HCddkT//lD8CsZ+/8Gvp0L2vCicCHB+FY1St01gfBK07fyyTps6UVWvXyYbvN2ln7KTPZ0jHHv2kTqMPVOiJ3IkqhwcBf6/ydhNdjsifjsG26bTlDePb9d/JrLlfSvvO3aXy81Xk1vv/T+6v9Lw8/VotqRI8bDJmtmqjnwg+DyemOOzSE9fSsuCQiLrZ8cZBVoLevXtrKCZZgs866yzp1q3b9l8zDC13sXccJ20xsZ89b6G83+GjWIs+K7GvHrTG+Y3Jw2mNI9BTZ87RqBsGUDFgyjpjsyrDoKOXz9qBUBPX3+uTYTL+s2ny2bSZ0m/QcGnYoq1Uq91QqgQPGEQdQWdKQxX47WWwjRp1M8pq3eXj4KG1RP3whJJu3bpVR8m2b99ebr/9dilZsqTG4DMfyDPPPCMff/yxDBkyRGbMmKEPBN5wCm1QleM4Tn6CKOLymDFnvjT+oIu8XrvxLkXafsMfj7B36tFfPuwzSFvmpDh4p0nrQJAz++izAwGv27StdubyZsCgq7aBcNdvxkCsHXPWmtjHr88Div1u3q67zPtqkbbUMXKMMWqWPDgHHXRQbMCVTVV42mmnyeWXXy7vvPOOunl4SODOcbF3HCftMLGfPutLnUv2lTcbZtsiB21pBwJMJysDpoijp0UfbnXnhoyWe0sth/IYcYt7x9xKu4K3Dfabh9WcLxdmKH1g5Prp06ePPP/883LhhRfGWvbkrrc8OUxawnzepFBwsXccJ23BEPtpM+dJ/eYd5OWaDXIk9mEsrDJRIPzGGzkoG7Fnv3EtzZ63IDiiDDcOx7dlyxZZvHixZvQ85ZRTVOz5bNq0qT4MNmzYoLH3ROa4z95xnLQlTy37oCVOy75uk6Blv70VrgIdsXx2EJ751vaWvZYXlJtRXg58//Et++0+ezNa6z179pTy5cur2PNJh23Y0HIXe8dx0hYT+5m74bNv3vZD6dxzwHaffT9pqj77Nrvvsw/KI8Ea5XX6qL80a9NNI3vY5q72aSef/Xaxz4i3/11b7rhqyH6J2PPZqVOn2GAr03EXe8dx0haE0aJxWuY0GidYBpcJaYpJYzx15lwZN2ma9BwwLA/RON10faJxPp85Rz797Av5eMBw3Q7lWEx+PBkPgozPNl16yVeLiMb5I+O4tsf/o9dE5ITFvmPHjhp5gyH6nAsXe8dx0hYTe4uzr/Veq5iIxgsrEGdfLRD7Np0/1tw3q9Z+mxFnH3wSd9+pZ39t9SPOOYqzD5ZjeVr0n06ZLitWr9HyVgflTZ46S9p17SOkWd6V2PPJiNwumsIhI87exd5xHCdEeAQtcfO5GUFLiuP/hkfQLl0hfQeP2u0RtPMYQfvzT1oeSdEWBsLdo/8wjcphf6IeHLxp0E9QP9hm30EjZemKVbo+x+Vi7ziOsx0VxEDsLTcOfvLdzY3z7YaNMurTz3R0bb1AwOs0/EBdNPE+fP5PS5wWPULfqlMPGTJyvCxZtiLYlx1Jy1asWisDho0JhLy9rqcupDjBJ2EbPv/m7bvLyHGTZU3wRkAfxB+/u9g7juPEoFWvgrhxk6YczmnWy4zUBJmzXm7e+oPMmrsgeGh8GrTIh0qHD/uqDz+c9RKh16yXDKDq3ldTIA8eOU4+nzFbXTe/6kQqJC77Q8V+0Ihx0qhVJ229R4k9riKidnTmrJnz5PtNm4J1f9PjcrF3HMfZDhqG2Gk++6+zz2cfFvuFXy/TKQTN/ve/XzSvzZJlKzVl8fjJ0zJSKARvC9ZpyydCT2qETz+bLnO/WiRfL1suq9d9K1u3bdNslxiTnyxfuSYk9hlRN5nEPvjOfhKu2WfgCFkSvGkw2xYzb3FcCRL7jbqgi73jOKkMQgexmarGTJQG72c9U1UmsV+yLFPLntB21cSgvB9+/FGWrlitKY/p+I2fqQqhX75qjWwLxPmXX4P9CATahB77NSiH9fsPGaODvVg3SuyBh8GYT6fIxuDthO3bMZnYM3Cqbdu2mh4BsS9XrpyKPcuY2XoZYr9xh9izMk8Qfow6gY7jOKnCr4HYEr3yYyDQ02bMlXZdmYP2g0BId47KYaYqxJ6cOF8uWCw//Rw9By3CzWTkU76Yrblu6m6fg/ZdnYN2sEybNVe+27Q52OyOwU9m/IVyv2LmrODNgIFbhGmG9yXjYdRcHyK4gxgn8DP7EpRnxxVu2TPpuIk9LfvOnTvHxH7HefhVdR19V7FfsWKlrFmzVgP1+cEWshUcx3FSCcSecEW+00n6yfAx0rh1l0BUM/LFh8U+I/Syqca0fzZ9lqyj4Ru0hmnN0xo3X/l///eLrFyzTl05+NMRZcReW/bBW8HEz7+Q1evWa9QNy1vfAXPaIvRr12+IzZxFByzbfOPdHfuC+FMeLqIho8bL8pWrVIftOMD2hYcYk4+H0yWQM4dlZs+eLWPHjpVvv/1Wt0/2S/QdnS+2Mih0yZJvApboE4AVWMg24DiOk2r8jtAGn3RwTp89TwWZkEeElTBKE1k6bnGnMNqWUEcEf/7iJbIkEEd87HSqrli1RhZ8vUxnjmJCFEbWWkIzfPZ02vYaMFwmT5slC5cs377OWl2f0MmvFn+j5fb+ZIQ0atlJO2ajooNo8TPx+ax5X8nmLVtix2HHlCH+fyqjR4/WDJd77rmnHHLIIVKvXj2ZMmWKTmLSqlUrWbp0qebHYTYr9B2dL4bq8zSYPHmyCj6F8vSwDTiO46Qav/6C3z7D17167ToZpmGYXTWzZdiFwicjVgmpZHQrUwp+2Hew9B0ySgYOHyeDR4zXcMke/YZKm659pGHLzuoSohXO+nzy/4x1+2gc/YBhY3U9OmOZk5ZO4nbdegfrdtLtZ2wzvP1muv0W7T6UUeMny9pvN8R87hxH+LjQZmzRokVStWpVOemkk7R1//e//10eeeQRTW88fPhwdfWsXr1aHwDoOzpf7Ntv18u4ceOle/fuMm3a1NjTI7wBx3GcVAOxD8RMtv34o8ydv1A+7j9UO0erv7NzjDute/7G91oNP5B3m7dTcaazlNj5DIF/P1hnZ79/hmAj/O/r2wPbYD14L1gXlw8hmpTPdsLr6X4E+9Pw/Y7Se+BwHfn700/MJZuRnninYwoeAugz7pnx48dLlSpVpEKFCnLeeedJxYoVdQITXPKs+8UXX6i7B31H54tt3Pi9ZkyrWbOmDBz4iS6ExW/EcRwnlcCNg5+bzw3fbZTPps7UFjbT/5nYhoUXPzruFRXg4G+02q0Fj0jze/xDwtbl7xm/Z/wWXjdWdty6+j14SNRpSKdsP/n8izmy8ftNqsHsd+QxBb8B0ZMIPumOab3jp//888+1NY/xUEDP0XX0HZ0vtnXrD9K0aTO58cYbNSdy/AzljuM4qQwtfGLm8b2PHD9ZPujUMxDYVjHhDguwiTDwewY7L5MVGevtel0rv0bw+9vBGwOdw2MmBkK95tuM/Q356bPCGuVZGTretGmT7breTND5Yrwy1Kz5ppxwwglSqVIl+eabb3RhfEPeUes4TqqDMKJluHOWLFsuI8ZOlFYdP5I6jVppXHuG6MeJdliU437LDnP1RK3L/9ke33HvtO7cU/30y1aslB9/ZABVhq8+6jjiYdmoUE8MHUfP0XX0HZ0vRiznG2/UlFKlSss555yjSfF5PcDcd+84TsqzXexjgr90uQwfOyFo4ffQ0bUxYQ6Jcn4QfoCQR4cWPUK/dHkg9D9lCD2jZSOPIQeY8KPf6Dh6jq6j7+i8in3duu9K6dJldC5DenQnTJigK2NZ+Y4cx3FSiUyCv2yFJjlr/2EfafB+x1j6A3O7QLxY7w5WlvnyibqhM7bTR/1kzITPNTRzh9DvvicFncb4jn6j4+g5uo6+x8S+QYOGcvDBpTSEp2zZsvLWW2/JvHnzYn6hvOyE4zhOMmDuHBN8MmNOmT5Leg0YJs1JcNaYBGcZnaqWuiAs3LlmexnW2Uv5Ldp/KL0HjpCpM+Zqzvyw0OfUfRMP62Ksj26j3+g4eo6uo+8xsW/YsFHQ3M8Q++LFi8tFF12k8Zpz5syJFYTxPWpjjuM4qQKiyGAlRrt+t/F7TZMwctwk6dZroDRt001dLLTGSUpGFsqMCJ0dLX4Ii3r47yzH8rre9uRr+OYZeMWAKd4mvlr0tWz8frPuSyJEHuM7eo1uo9/oOHqOrqPvmcS+TJky+iPss88+cu655wbN/7oakG/Z1DIPA84IAYraCcdxnGTG9AtIE7P22/Uya+58GTxqvCY6I0YekWakLOkNdoRRZnSwxmMdsSzH8qxHS75xq87qsiFN8uwvF2g6BiJl2K4N+oravyhsf9FfdNgGWKHP6DR6jW6j36bl6HqE2B8SWwBKlCihK7766qsybNgwWb9+vRYcNovYyc0OO47jJAPk0GEKQwZekaVy85bNmpMG0R8zYYr0GThSJwpv0a67zlaFvx1RZzLwV95sIC/XbKCfGZOaZ0wl+F6LjtKifXdNrNZv8CgZO+FzmT3vK1mxarWmQMhojf+pYk38f9R+xWMCb+IeNnQZfUan0Wt0O6zj6Hq2Ym/87W9/05FZpNCcMWOGrFmzRnt7eTpl7Libm5tbetnPP/9P1qz7Tr5c+I1MmjpLho2ZJH0GjZZuvYdIh48GSJtufaR1l97SNvjk/936DJE+g0fL8LGTZfL02TJ/0VJZt555QjK8Iokw9BbdRX/RYfQYXUaf0eko/c6V2MNhhx0m559/vtx7773y7rvvyoABA3RDa9eujbl43Nzc3NLN/vgzEP7//iJbfvhRvvt+i6zb8L2sDh4CK9eul5Vr1suq4JP/8/fvNm3R5X7+36+ycxs8b4bOorfoLvqLDqPH6DL6HKXbkGuxN8iwRqL8u+++W18bGHHbtWtX6d+/vwwePFiGDBmin47jOKkMWjZ06FB1kQwfPkxGDB8uI0YMl5EjRsjIkSNkVAj+z9/5neVYftiwobp+XjTR1kVf0Vn0Ft1Ff9Fh9DhKp8PsttjD3nvvLQcddJAcccQR+upAiM+pp56qifRJos+n4zhOqoKOAYJ6xhnlpPwZZ0j58uXlzDPLy1lnnpnBWSG2/43fWY7lWY/1rayo7WSHrYe+orPoLbqL/qLDUfocTxZivyMax3Ecx0l9dorGadKkiT4xohZ2HMdxUhN0HX1XsSdBTsuWLWNJ8B3HcZz0AF1H3zURGpnWmKkcX1PUwo7jOE5qgq6j7z/++JP8Pz6fzkj5ct0UAAAAAElFTkSuQmCC)
physics-General
physics-
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
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)
A body begins to walk eastward along a street in front of his house and the graph of his position from home is shown in the following figure. His average speed for the whole time interval is equal to
![](data:image/png;base64,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)
physics-General
Maths-
In a
, H is the orthocentre and D is the mid point of
Segment HD is produced to T such that HD=DT. Then the ratio
equals to ;
Hence 2:1 is the correct option
In a
, H is the orthocentre and D is the mid point of
Segment HD is produced to T such that HD=DT. Then the ratio
equals to ;
Maths-General
Hence 2:1 is the correct option
maths-
In ![straight triangle A B C comma sum a cubed cos space left parenthesis B minus C right parenthesis equals](data:image/png;base64,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)
In ![straight triangle A B C comma sum a cubed cos space left parenthesis B minus C right parenthesis equals](data:image/png;base64,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)
maths-General
maths-
In ![straight triangle A B C comma left parenthesis a plus b right parenthesis cos space C plus left parenthesis b plus c right parenthesis cos space A plus left parenthesis c plus a right parenthesis cos space B equals](data:image/png;base64,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)
In ![straight triangle A B C comma left parenthesis a plus b right parenthesis cos space C plus left parenthesis b plus c right parenthesis cos space A plus left parenthesis c plus a right parenthesis cos space B equals](data:image/png;base64,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)
maths-General
maths-
In ![straight triangle A B C comma sum 1 over a cos squared space A over 2 equals](data:image/png;base64,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)
In ![straight triangle A B C comma sum 1 over a cos squared space A over 2 equals](data:image/png;base64,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)
maths-General
maths-
In ![straight triangle A B C comma s squared tan space A over 2 tan space B over 2 tan space C over 2 equals](data:image/png;base64,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)
In ![straight triangle A B C comma s squared tan space A over 2 tan space B over 2 tan space C over 2 equals](data:image/png;base64,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)
maths-General
maths-
In ![straight triangle A B C comma 4 R sin space A over 2 sin space B over 2 sin space straight C over 2 equals](data:image/png;base64,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)
In ![straight triangle A B C comma 4 R sin space A over 2 sin space B over 2 sin space straight C over 2 equals](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAOYAAAAjCAYAAACAT3a8AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAABOVJREFUeNrtXW9EXlEYP16vTDKSyUwiSfqQfUsyE5lJZiJJMhP7MDOTkX2aTMz0YbIvmcw+zMhkJhlJkkxkMvOamNmHfc0kSeLuefS8us7Ovefc975/ztP7/Pipe97b+/7uuc+55znP+VVKCc4DHjHTewQ8Af4G/gR+Al72WG8zcAaYAx4Dd4HPgA0SeoIoDFOwZJnobQXuaG0Y5G881XsLuA28CcxQGz5ExoGfJfwEJtQDvwFXgLeZaEad77S2QUObD+igGb1eQk2QBHPAEeAd4Csmmp8CJ7W2tzQj+di/9yXMBEnQDVyi7xvpyc4BCzRrYlp4FTjv8RoZ18BXJNQErsjSuqcp1PYV2M5AOxZOAuKBpzNlHscSaoKk6eBjrW2aQdqVocGIqAH2Ab8A22RgCrijnWZHHdfV6baDz+gCrmpto8AXnurNaVmJQBCJjVAqqNP3bZMRWlOGMQZ87ale3Lt8KCEnsOEe8GXM6++B/R7rnwXe1drmacD6CJwtfym/zQ+CCgODA/cs62LOGbcM3EpjUZ0Vey4Bh9Sp2aDGY82DNDjHQjob6XijUqJwcY72qd4U72Erhbvas1poLYI38pDOR8dIks3fAUr5bHrwnD/ALeAyBVESBCW4FwukPw5Y2t9N+TlBCeNpL5R2H9EMX4ztiKDE4wC3dT4A9+mz8DrQENFTiUGZoSd0H33NFPAeNruYqz0LK5C4Z3ctpKOJBr2rlauOFvNxN9GkZ7qA4kSg+CIQzX5jAjhF30+p/8vzNrjYxVzsWZNFKg7MUaoXdxNNeoaVvz5OQZWhgWaXWjqupeOGhAPBZhez2bPaKL1NW2nElGPV4elq2h+c0tJxTKnXKJ0OIt4viDgeouvBNG5dlb8Uz1E75/4uOnBQjWptI9TuAle7mM2eNaPS27VqaOZudhiYqOdW6Pgi8AddQx7b2jnKMVCGKCXO67hLwVJOcNTOub/Demx0WuhuRryG7Z2Wn09iF7PZs3K07kuD58AHjuuRXSo8ZUnLV7rBYRw6FJxMgdJrWMOX21nCUTvn/i4q4gZf3KCNSwdNdjGbPStDKUgadBr0Rg1M/LwT7Sl2LWIduqni994Cx890eVIGKclRO9f+Lhlc0tW5mE5KYhez2bNwsO6nvJ4tw4wb1YFdtJYJp+NR1dg6KkjllNnnWcxAKTY4aufc36lTWdcCD77+HXjB8FoSu5iLPesgVIAqRYfoDyW9+roSWqOY8CTiQeR7oHDVzrm/CwbuH044noup6pTWltQu5mLPmlfJt2lcBqsJs3QNehHrbcx7Ra1bOAQKR+2c+7sgYEl6R7mbCDJ0fgsdF2IXc7Fn4Wy1R0/KfAEAZ+oBGrR92sAPlP1PbETdnEVl9pliut0Rc01rTAOFo3bO/V0QPha42F2kny/ELuZqz2qlWStvh/qrTu1R/YYZOc3A3ItIz3HWXDakxyfUfplRoHDUzrm/BRHp8nlEjzrzbR5TljEqukW3r8CtHCxKZc/5da7TOjy/bMA027adILqrT7c3wDS4sUqvvZnW+KJbdAs8w5HoFt0Cv9Ct7I4s0S26BWUEVpLR4dQjukW3wA/g3i5udd0Q3aJb4AdaKEhaRbfoFvgB/GUB9BTXim7RLfADuCWETqus6BbdAn+wpHj8jxLRLagqVOQXdUV3eXX/A9HkEEpllsfNAAABenRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mI3gyNUIzOzwvbWk+PG1pPkE8L21pPjxtaT5CPC9taT48bWk+QzwvbWk+PG1vPiw8L21vPjxtbj40PC9tbj48bWk+UjwvbWk+PG1pPnNpbjwvbWk+PG1vPiYjeEEwOzwvbW8+PG1mcmFjPjxtaT5BPC9taT48bW4+MjwvbW4+PC9tZnJhYz48bWk+c2luPC9taT48bW8+JiN4QTA7PC9tbz48bWZyYWM+PG1pPkI8L21pPjxtbj4yPC9tbj48L21mcmFjPjxtaT5zaW48L21pPjxtbz4mI3hBMDs8L21vPjxtZnJhYz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+QzwvbWk+PG1uPjI8L21uPjwvbWZyYWM+PG1vPj08L21vPjwvbWF0aD7xJ3+zAAAAAElFTkSuQmCC)
maths-General
physics-
One quarter sector is cat from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the center of the original disc. Its moment of inertia about the axis of rotation is...
![](data:image/png;base64,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)
One quarter sector is cat from a uniform circular disc of radius R. This sector has mass M. It is made to rotate about a line perpendicular to its plane and passing through the center of the original disc. Its moment of inertia about the axis of rotation is...
![](data:image/png;base64,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)
physics-General