Physics-
General
Easy
Question
A freely falling stone crashes through a horizontal glass plate at time t and losses half of its velocity. After time
it fills on the ground. The glass plate is 60 m high from the ground Find the total distance traveled by the stone. ![open square brackets g equals 10 text end text m s to the power of negative 2 end exponent close square brackets](data:image/png;base64,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)
- 120 m
- 80 m
- 100 m
- 140 m
The correct answer is: 140 m
Related Questions to study
physics-
Particle A is projected vertically upward from a top of a tower. At the same time particle B is dropped from the same point. The graph of distance (s) between the two particle varies with time is.
Particle A is projected vertically upward from a top of a tower. At the same time particle B is dropped from the same point. The graph of distance (s) between the two particle varies with time is.
physics-General
physics
The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun.
The period of revolution of planet A around the sun is 8 times that of B. The distance of A from the sun is how many times greater than that of B from the sun.
physicsGeneral
Maths-
Let
and
A vector
is such that
![Error converting from MathML to accessible text.](data:image/png;base64,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)
We can solve simultaneous equations as we feel easy for us. There are not any particular steps to be followed. We just have to solve the equation to find the values of the variables. We try to eliminate the variables using addition and subtraction to single out single variable.
Let
and
A vector
is such that
![Error converting from MathML to accessible text.](data:image/png;base64,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)
Maths-General
We can solve simultaneous equations as we feel easy for us. There are not any particular steps to be followed. We just have to solve the equation to find the values of the variables. We try to eliminate the variables using addition and subtraction to single out single variable.
physics
The earth E moves in an elliptical orbit with the sun s at one of the foci as shown in figure. Its speed of motion will be maximum at a point…..
![](data:image/png;base64,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)
The earth E moves in an elliptical orbit with the sun s at one of the foci as shown in figure. Its speed of motion will be maximum at a point…..
![](data:image/png;base64,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)
physicsGeneral
physics-
Given graph shows relation between position (X)→ time (t) Find the correct graph of velocity → time
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)
Given graph shows relation between position (X)→ time (t) Find the correct graph of velocity → time
![](data:image/png;base64,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)
physics-General
physics-
Here are displacement
time graphs of particle A and B .if
and
are velocities of the particles respectively, then
=……
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQgAAAEYCAYAAACgIGhkAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAEEtSURBVHhe7Z0HXNXn9f8/cNkbBGQoIENwR8UZ99ZEE6Nm77RNmjZpkq60/f3atEn676/Napu9p0aNiXtvRVAZMmSD7L3HZV/+zzlcDCbeRBGEC+f9yg3C98vlrufzPec8Z5i0KyAIgnAZTPVfBUEQvocIhCAIBhGBEATBICIQgiAYRARCEASDiEAIgmAQEQhBEAwiAiEIgkFEIARBMIgIhCAIBhGBEATBICIQgiAYRARCEASDiEAIgmAQEQhBEAwiAiEIgkFEIARBMIgIhCAIBhGBEATBICIQgiAYRARCEASDiEAIgmAQEQhBEAwiAiEIgkFEIARBMIgIhCAIBhGBEATBICIQgiAYRARCEASDiEAIgmAQEQhBEAwyIASiTdeG9vZ2/XeCIPQURi0QJAp1dXWorKhEc3Oz/qeCIPQUJmqRGeWllwShrLQUFy5cQGVlJSZNngwvLy/9UUEQegKjtSC0Wi1SklMQER7BNxILQRB6FqMViNraWkSePYtTYWGIj4tDWVm5/oggCD2F0QoEWQxJSUnsYpSXlyMnJxslJSVoa2vTnyEIwrVidAKh0+lQXV2tBCEHubm5qK+v55+npqQiLjYWTU1N/L0gCNeOUQpEUmIizicksBiYm5mx1ZCofnYu5pzsZghCD2J0AkGikBCfoATiPIuFpZUVb3fmKYsiNSWF3Q1BEHoGoxMICk4mJycjLS0Nra2tMFMWBEGWA4lDclIyxyIEQbh2jEogqiorlQAkIS83F1VVVSwK5F7QzcTUFDU1NTh75izHI4RBSrsO7c110FaXobSwAIV5uchXN4pX5eTmIze/BKU1jdDq9OcLP4hRJUrFRMfg8MFDOHnyBAcpTUxM2L3QaDSwsbGBtbU1rNRt5apVePiRh/W/JQwq2prQWpOPQvX5yLhQiAqlBI3QwNxCoz7t5jDR2MLFJxBevr4Y4WQKS/VjwTBGJRDx8fGIj4uHTlkMtHtRXFyMwoICNDQ2YtKkSXBzd0NhYSFCQkIwb/58Fg1hkEEWREstyhLDkH72KI5X+qDaPgQLJ7rCy64JDZVFyL5QhYpGa3hNuREBAd4IsAc0JvrfFy5B85xC/+9+D8UcHJ2cMGv2LIyfMB6Ojo5K4kxYCG659VbMnTcP7u7ucHV1haWlJVsWdBMGEerzYKKxgqYqHc3pxxFW5YNC+1CsmjsKwb6OcLesQE7ECcSFRSLDOgitTsMQ7AyYm4pCXA6jikHQwh/h5wcrKyv+noyfdp26qa86deUghvv4wMvbG7a2tiIOgxhTU3IrLGCmMYVyRNXnhBLo7KFxn4QxId4IHdGEstw8JCUVorFVAhKGMCqBIKuAFj7R2tKCFnVrbWvl7U76nrBQHwqKRZibm6sPidFt0gg9hbIkTDVm0KjPgMakixdtagELSzNYWarPhrqotLUpl0R/SPg+RruCOt9UMQwFQ9BnpONzosRCWRRAI1B1HqnpRYjN0sDZyxMBQUNhoawM4fLIKyMMTJQFQfLQri1HfXE60pLjkZF4GpHhYYjKqMaFFg+4uA2Br7uyKCRCaRARCGFAYtJpWzZWQVuWhez0ZJxPULfEHBTWm6DFzg2WyvWwbGtBm/Fs5F13RCCEAUnn7r2JrRvsvUYhZNxETJuzFLNuuhvrFgZhqU8RLoSfwsEDMchqaCXnQ7gMIhDCgIR2LsiKMLF2hvUQH/iMCMJQDz8EhExC6ARvTB5ajbL0dMTH56C0uQ1SA3x5RCCEAYmJiSlMTS86GmRS6P+h0JjBzNIK5uYd26C0CCQKcXn6XCDIFKS6iuKiYlRWVKChoUF/RBC6gxICnRbVFaXILShDWWEOyvNSkJKcjNz8LGSkxOJcbC5iCqzgHBiE0eP94W6hQUdmjfBd+oVAUCENpVFThWZ5WZn+iCB0A10LdHUlqKqsQE5ZE7SVRWgpTUFyYgIiz0Qg9swRHI7MR0ShK/ynhWLuvPHwsTaHhf7XhUvpF7UY27ZuUwIRhyFDhmDixImYPmOG/ohhqKtUghKV2HPnUFFRidW3rcaYsWP1R4VBS3sbV3PWluahND8PhU12aDR3hKujJWzNW4EWZV1UN6OpTVkQIwLg6uoAN0txMQzR5wLR2NiIt996CyeOHYfLEBcsWrwY626//UezIEUghCuHUqkl3NYd+vRVoxTp4pISFOTnc/NZ6hJFZdzSNk64VrTaBvWZysLZ02cQHRmNBq1Wf0S4GvpUIMrKypB0PhHFxSX8BlKwsqiwCLk5uSISwjWRmZmB3Tt34NSpU+qik4tGaWbcLfpUIPLz8nHm9GlUlJdzb0kLc3NuGxcbG4uSEhmEI3SPJuW2Rp09iw3rNyAx8TxX+lJzIeHq6VOBKCjIZzGg0XlUfakxM0Opcjmio6JQWip9JYWrh9oOfv7ZZ9i3dx9MTUwxevQYbiYkzYO6R58IBMVFKchIrkROVhYP4KWgJPVvoIAjtbAvLirSny0IVwZZCrHnYvHF518gPS0NU6dNxbz58+A3YgS3ARCunj4RCOpMHRMVjdTUVE6MoqazJBp0q6urRV5eHrKUcFCMQiZlCT9E1024Lz79HP/3j38gMzMTE264AY/+/DGMHTtOf1ToDn0iEHVKIEgcWpqbERQcDDd3d24GQ2YgdY3y8vREY0MjC4VMyhJ+CIotUED7XEwMdu7cwQOVQkNDsWzFCgSNHKncVs0lIiJcHX0iEGQ1VFZWwNfPl/MXxo0bCydnZwz18MBk9ebevHIlJ00VFRbKbobwo5w6GYbXXnkV5+PPq8/SOPz5r89hzdo1+qMdIiJ0jz4RCAdHR+UfTsNc5R/OnDkTY9WbGhQUhJFK8SmTcvacOZg0eTJ8fX3ZshCEy0FNjDPSM3Ds2DFO1Z8cOhl333sPRo8erT/jUhdEuHquu0BQchS5EfMXLMCUKVMRqITB3z8AAQEB6qu/MguDMGr0KIwZO0Z9Hc39JQXhcpCFuX/fPsTHxcHBwQHrbl+HO++66+K0NUKsh2vjugsEvWHffdM6f3a5Y4JwOWg7MybmHPbu2cuxqwceegg3KOtT6Fn6RCC6QhYFDcLpHKHXuaMhCIagGFbk2UicOX0G9dp6hCiLc/mK5TzuQOhZ+iQGIQjXAg1n/mrzZiUSZ7Bw4UIsUDcamCRjDnoeeUUFoyIhIQHffP01LlzI5OrfWXNmY8yYMeKa9hIiEILRQIOS9u3Zi88++RR2dnaYP38+p1Hb29vrzxB6GhEIod/SNRZVUFCAV156GV9v2QKtVovFi5fgppUrL05aE3oHEQih39LpNlCy3InjJ7Bh/Xqu9p02fTpvk3t6evJxCWr3HiIQQr+G+oS8/p//4t2330Z9XR1uv+N2PP/CCwgIDNCfIbkOvYkIhNBv4e3MyEgcPHCAe4YsWbYMN918M4b7DOcdC7Eceh8RCKHfcjriNHZs34HS0lKETp2K3//hWXYvOhHLofcRgRD6HZQsl52dhWNHj3Ia9Zy5c3Dr6tXKcvDRnyFcL0QghH5Hfn4+wk+FIykpEaYaDe9WLFy0UFrT9wEiEEK/orWlBVFnI/Hlhg2wtbXDbWtuQ0hICKysZPZVX9AvBEJCTQJB+Q1hJ8MQHn4K5WXlCA4J5mQoSqMW+oZ+YkEoiSCV6LwJg5L8vDy8+847XIhF/SRnzZ4N/4CAS8q3hetLvxCIjknMpjDRmMDEVDzNwULXbcrTERH45ONPuMv5EFdX7io2dswY/VGhr+gXAkHpss4uznBycoKVNIgZNHRuU9ZU12DjlxuxaeNG2Nnbs+VAmZLUeUzoW/pcIOhDEhwcjNlz5/DQXj8/P9nfHuB0tRxioqPx3F/+jAP798PFxQVPPf007rjzDv1Roa/pFwJBZbvDhw+Ht7c3HOWqMeDpvADQ+IMjh49gx7Yd3Fpw6bKlWLlqJTw8PPi4ZEr2Pf0kSCkMNmjmyZcbvuSGs9Y21vjpz36Kp5955pLqTLEk+x4RCOG6QzUWcbGxOHzwIFsJt9x6K+bMncejD4T+hQiEcF2hpi+UPh0eHo7s7GxuUf/oY49eUp0p9B+uq0C06xrRUJKO/KQzOBsegVMnTyMyKg4JWWXIq25Bi64BTdX5KEiKRqw6Hh6hjuVWoUhLY/n0dyIYNSXFJdi1cyfORcdg9pzZWLBwATeblVyH/sl1tiB0aGuph7Y8D0UpkYg9fRrHw84jOb8KFToT6EzboasvRW1WPNJT05GQXY6SuhY0tUn+1ECARimeUe95bGwc2nRtWLxkCaZMmSLNZvsx1/WdMTG1gp13CDx9hyHIIgv12ak4FlGG8mbAztkMGtjAqq0dTs0laLV1RuPQUfBxd8RwexNI/pTxc+TwYXzw/vuwtbHBggULMX7CBDi7uOiPCv2R6yzd9OcsYefqDe/gkRjmagan+nQUF5Yjo0LZF63VaGhsQn6TO+yGeCN4hBvcHSyu94MUehjazty3dy8OHTzIlZokDPMXzIebm5v+DKG/0jdrz9oD9pNXY+q0kVg+PBPlmZk4diwTldlRKKxrwDmTyRjq7Yv5vho4mOt/RzBaEuLj8fK/XkJ0VDRCRoVg0ZLFGDN2rGxjGgF9dHHWqJsbho0ahdA5wXCpTkbBkb3YHVGKlHo7+I4dDm8vR4g2GDe0hblj+3a8+867SEtL49F4P/npT7l8WzAO+tR6txgehBEzZ8LfvBAmKcdxMKoOabV2CAp2hKudOBbGTmZGJj795FMcOXSIJ7WvumUVFi5axMlQkiVpHPTtKjTxgmboJIT4WCHYuRxlZVoUV7RBox4V2RiC8XL2zBl88tFHSElOxthx4/CXv/4VS5Yu1R+VLEljoW8For0RzdVaWHgOh3OgL9xaCtBceAFJ+U0o1+nPEYwOavZy/NhxRISHw9/fHytuvomDkjSiXzAu+lQgWvLTURkbhhKXCcDEFbjRIQ22eRHYeaoYyfmt+rMEY6K4uFiJwzGcURZEU3MzHnjwQdx99z3iUhgpfSQQyjxoyUJJWSUSKtxhNSQEkyeNxdx5gfB10KIs7DhS0vKRp86Uj5XxQGnUcbFx2L1rF8zNzTkRauKkSXBydhKXoldoh7a2DtXllWhube2VtXKdBaLjKejqitCYcRYZJfVI1oyDs9MwTBrhhdGLZiLA2xrWiYeRHn8ep3PbUdbEvyL0cxobG5GaksqxB5rAPTJ4JNbdeQc8vTrG4wk9DaUX16E4OwsZiZkorWtCg/ppT4vEdRSIdrS31qAmKwLnDu7EB++E4XhsKTDcGZYO9DAsALthsLc3g1t7PJKP7cCWT3fgcGwusmpa0SqmRL+Ghtt8+skniI6KQmjoFMyYocTe3x+Wlpb6M4SepUapcjJSw07i+PZwROfX9YrFfV0tiPZ2HXQtWjQ3taKuzRk2jkMwYpgN7LnLnHooZh5w8Q3GDdNHI8DDFvYtdWhraUWTqEO/hmosThw/joiIcOja27Fo8SKMnzBeCrB6k+ZqNBemID81BgmJ5xFzoRJZFbTG9Md7CJP26xk9am9TAtGkBKIZ2oY2mFhawcLWBpZmJjAj7VPHWxq1aNSqW5sGOo0VbGysYGlhBnNqaKu/G6K6upoz9GLPnUNFRSVW37aas/OE68+rL7+Mb77ZyoKwfPlyPPrzx2THopfRFSag7Ox2bDoQjhNFltDMeBLzZk3Fg5MtYaHWSk9xfWMQJhqYWtjAyt4JLu5D4OxoC1sWBz6o/lNCYO0A+yEecHN3w9Ah9sq6MOcnLCGu/kHX60lxURGP5N+9azfKy8qwePFiLFm2VMShV6HXvxGVNQ3IyLeEm6crJoyyR2NONnJTslGu69nr/fUVCMHo6bobcezoMa6xSE9Px/jx43HPffdiwoQJ+qNC79Csbvko1TYjpcEP/mMmYtn0EXApv4DK9BRkNehQ1XFijyACIVw1dXV1+PqrLfjm669RWVGB29aswVPPPM1Nh4VeRrnoKEpDU0MjtMNvgP24uQgMGYVxVrmwrUpBQk4rCmk7o4cQgRCuGkqf/nrLFly4cAETJ0/GutvX8Vh+jUYjCVG9THtTA7SZOairrITOWbkWNp5oM3OBj0M1bJoLkJhSjvwS/ck9gAiEcFXEnovFoYOHkJKSwn0d/vDHP/DXTiQhqndpbNYiPaMKRdlZ0FXFIC0+EZHnitBsq0GzpgkZsckoLCilVMQeQQRCuGKon+TRI0e4I3VwSAjmzZ+HyaGhsLGx0Z8h9C7laG2qRH6zF9ptfDB6mCM8XZzh4OKFwNAx8PO2h8WFRFQUFCFXnd3S8UvXhAiEcEVQAVZ8fDxOnjiBqqoq3HX3XVi0eLH+qND7KJugPh0NNfkosZ8A28AFmDt1KmZNnoBpM6di8lIl1sFDEVB+HtV5uYgtB2p6wIwQgRCuiNOnI/DVpk2wsLDAjJkzMW78eBnLf93Qoa2uALmnziD6SBQyappQYW4FXWezX1NLwMwWFiYNsGg8j7SYcBzcF4/EnHpolUhcS1RIBEL4QZqampCamooTynKIiozkOapLly2Dp6fUWFwPWtvUCm+rR3tzLcqL6lBa3AgzKx006kaLn2lX/2i0hLmNAzwCHGBlokVddj6qaxpRRyUb16AQ1zeTsgeRTMrrQ2pKCl595VWkp6XBfehQ/OSnP8GcuXN5x0LofWi4kI21BdxcHFFXXoba+hY02rjBxs4GQ2zNYMYxYRKRRmirK1BZWoFanTXarV3g5uoAB1tzmFMOIt/b1SMWhGCQjIwM7NyxE8eOHIG1jQ2Wr1jBroWIQ+9B12vKLUlKTOSy+Z3btyMpKU25EDawG+oDT/8AjPBwwFC7TnGg67taxhob2LgMg3fweISMCsIovyFwtTNXbkf3xYEQgRAuS319Pd58/XW8/+67XIC1YMF83H3P3XB1ddWfIfQGVVWViFSu3KuvvIL//dP/4L1330NMdLT+6OW4luX/44hACB10cTQpdZqazVLbOLIcHvnJT7Bs+fKLE7AkGarnyVGuxOeffaZE+U18tWkzwk6GcQOepcuWYtLkyfqzrj8iEEIH+guRTqfDvr378Nmnn6K5uRkLFi7EL598QpmtozpOUEgyVM9Ar3WDtgEV5RU4eeIkXv/Pf7H+iy94O5n6aMyZOwdPPPkrnmHaV0iQUrhIZWUlwk+F47NPPkFycgruu/8+LL9pBUZ1EQehe9Ay+66whp08icOHDqO0pIR3iig7dfr06ViqrDUPDw/4+Ppg5MiRfdpXQywI4SLJSUnYv3cvF2NNDp2MFSIOPUanONTW1KKosBBxcXHYs3uPuu3G2bNn0draihtvvBE3rbwZN918s3LplmH06NF93nRHLAiBP5xZFy5g+7Zt+GrzV5g7bx7W3XE75zzQkBuhZ9C16XDs2DHuvkVdv3NzcmBlZcWJZ7PnzMH0GdM5CEyi0F92isSCEFBWVobd6kpGzWYDAgMwddpUjBs3TsShh6CL2ZnTp/Hhhx/imy1b2LUoLCjgHhr33ncfblZWw4yZM7hcnmIP/WkbWQRikFNXV4/kxCTs27MXlcoSu+XWWzFl6lRuWy9cO1WVlUg8fx4fvP8BXnvlFZwKO4Xmlmbu2fnIT3+CJ371JNe0eHl56X+jfyEuxiCHXApKyCkpLmbL4eFHHoH3sGGyU3GN5OflY9PGjdwzo6amGpFnI9l1uOfee9XndAycnZ15Z4i+9mfEghik0BYmXdlIHCLPnuEP7bz58zFs+HARh25CdSs0WSw3N5fjDF9u2IB9e/ciNyeXdyXmL1iANevWYsVNN3Hcob+LAyEWxCCC3urOxU9+8GuvvoY49fr5+Prihb+/yF2hhO4THR3NqekZaWnIyspCfn4+QkND1WfzNgSNHAkvby8MGTLEqNw3sSAGESQOlJ1Hw22+3vI1opTZSx/c2++4gydwd2Kk14w+gbYt05QgHD50CN+o15TmkmZeyISjoyNuufUWrFm7FrNmz8akyZPYijC22I5YEIMMKsD685/+h7fZyMT9w5/+yFc44eqh7eGYqGhOdtq3by9KSkq45f/ESRPZXVu6dCkclFB0tdyMDbEgBhEZ6enYu2dPx3ZmQACe+NWvMPPGG/VHxXK4UhoaGnDo4EH84+//D++9+y4OHTrIc0HIRXvyqac4EEkxBhIHwphjOiIQg4S62locOXwYJ4+fYMuBmr5QKvXQoUP1Zxj3B7m3obqJWvUaUlyBJphT2/9PP/4YsbGxMNVoMOGGG5Q7sQZ33nUni+6wYcP0v2nciIsxCKiuquIP8jtvv4Oy0lLcdc/dnLlHVoRwZVCPBiq9poa9ZEFQ3QRtW9K2MNVP2CvXgoKQFHsYSIgFMcAh/SeXglrV04j+UaNHcUcoEYcfh7YtL2Rmsijs2rmL6ybOqQsSbRFTq39KKluydAmmTp/Gr+tAEwdCLIgBTFtbGwfOPvnoY+zYvp2nbpNrccPEidKq/gogK2HHtm2c5NSR8FTDrsTatWs5EEk5I7Qr0dknYyAiFsQAprCwEF+u34D4uDhl/nojdMoUvvKJOBiGrKzExEROcqJuWrRDUVRchOE+PnjgwQfx4EMPYpqyGAICA7luYiCLAyECMQAho7BRmceU7/DVV5s5uEbWw8SJk2BnZ6c/S+gKBSHJQkhKSsLBAwfw5utvsFuh1WoREjKK3QlqnEOdtUgsBgviYgwQ6G3sugvx9ltvYdeOnZz2e+vq1Xj0scfg4ekhOxWK775WBKVE79i+g4O4pepGuxXUn4H6cHp4esHFxQWeXoOv1b9YEAOEzg88NZulbL5t32zl3pLTZszgpB36cNM5Rno96FE6Xyuqm0g8n8h1E5QivVtZDCSolA7NzVtuvhkLFy9WF54xF8VhsL1+YkEMALpeEb/4/HO89867XAtAH/LnX3wR/gH+fEz4Foo10LblSSUO1GqvoKAAFubmeOiRR7B4yRLOFXF0cuSGLoMZsSAGACQOtDdPrcsow4+GrcxXVsMdd90l4tAF2tWhAUDHjh7FRx9+yFmlmZmZnPFIzXlJHBYuWoiQUSEY6jF00IsDIRbEAIHG8n/88cc4e/o0ByL/+vzfpDrzO1BOw4H9B1ggaKeCBIP6Pq68ZRVunHUj/PxG6M8UOhGBMHLo7cvJzsGunTuwYf0G0Fh+amFGvQcGYuLO1UKvD40PPKgsq3Mx55Cfl8c7E27u7vqdnYnczcnD07PPG8T2R8TFMHIqKmimwgkllHGc30BXQgquDXZxIBHIzsrC2TNncOTIEWz4Yj0HI01MTflCsmzZMtxx552YOm0aJzyJOFwesSCMGAq0nYuJ4TFtrS2tWHXrLUogZiEwMFB/xuDlwP79eP/d91BRWYnGhgbkKcuBxPNXTz3FgmBlacVByIGe6HStyKtjxFBPh3379kFbr+XMPtq18PPz0x8dfOTl5uHUyTBOj6Zt3tOnT6OluZkvHNTzYvXq2zib1FO5E84uziwORnp9vG6IBWGkUP+Bl/75Lxw9epQrM5csWYK58+cN2m7U1CmL0sr3K8HMyclBeXk5rK2tuTfDSmVZeSlRoO+Fq0MEwkigt6kz1yEtNZVrBY4dPca+MzV+mT171sUGJYMJ2qY8n3Ae587F4HR4BJdl+47w45F19Hmg4ip/f3+JMXQTcTGMhE5xoOAbBd02bdzE23RzlPVA7eoHkzhQqzd6HVKSk7n5Lg2joYnYlBk5IiCAE53uvf9+rLv99j6fbWnsiAXRz+lqOVDG38v/eonrBqgJzOO//CXue+B+Tg0eTNDuxIb16xERcRq1NTXcn8HNzQ23rV3DcRg7e3vexbGwsND/htBdxILo53SKQ5UShKOHj7A4UNbk8ptu4n38TnEwUp2/YqgiNSoyip8/VVnSLSkxkVvmkSjQrInFixdjhHInSCxEHHoGsSCMAHqLPv34E2z95hseE0+L4Y9/+hNH4gcLYWFhePXlV1CQn8+vR3lZOUKnhOJ3z/6e3QiNciNIFDoFVegZxILo55CvHRUZyVOhqTsU9SW4dfWtF8VhIFsOVEBFvRmoboIaxFKzWBooPG/+PDz688dw/4MP8Pg6G/Uzat4i4tDziED0c1KSU7ifJKUI+/j44N777+NkqE4G2qKgxi0kenV1dYgIj8CWzVvw8Ycf8b89PIZiydKl3Cj26V8/w81bpKCqdxEXo59CC4XG8m/6ciP3kxw7bizXV8ydNw/29vb6swYeZDWQGBw7egRJiUlsQfn6+mHCDRN4RP6IESM4xmApwnBdEAuin0KJUCeOHUdCQjxn/NFIftrSHIjiQNu1HcIQrlyKg9i7ew/3gqRU8vHjx2PBooW4eeVKTgijNGkRh+uHWBD9lJMnTuKf//gHLCwssWDhAm6vHhgUpD86sKAWb2+/+RbXT1COA1lP1LDlvvvvx4qbb+LsUApADtYs0b5ELIh+CDV92b5tmxK+Cm74Qi3jKP4wkKCt2uPKQqKM0E8+/phTpIuKijBu/Dgl9rfhrrvvxqw5s+Hk5MSBSRGHvkEEop9Bpvb6L9bzgiGLgYbcjB4zGhaWlvozjBuyDgiaOfHZJ5/gjf+8js0bN3Gex+TJk/GzRx/Fb37/O96hGGiiaIyIi9HH0MvfuRMRfuoU9y3Yr0xtb29vnrxN/QpoYvRAgAqooqKiEB8bx2XqcXFxPMOSZlmO8B/BFaljxoyR1vz9CLEg+phOcaAch927dmPXzp1sVi9ctIh3LIxdHMhiqK+rR15uLjds2b93H4+wS05OZguB3CfK6yCXYpoSQxGH/oVYEH1EV8uB2tO/9847HLmnBfX7Z5/l4NxAWCxUP0JJXl9t2oTMjEz+GQkDWUbLli/r2JVQ7hPdhP6HWBB9RKc4UCAyPOwUTpw4wZbDmrVrMWfe3IviYKT6zTGGb77+Ghu//JLnTURHRnGwkbpHU0s8qiMZrdwJspBEHPovYkH0IWR6U+v1vXv3sk9OZvbPHnvU6C0Hem/e+O/r2LRxIzQaDd9IHO5/4AHcc9+9UkhlRIgF0UfQaPnklGRuGVdWWsZbe+SPG6s4kGtEfSpo5N8///F/HEuhLEjahXns8cfx1DNPY/7CBSIORoYIRB9ARltqSip3QMrJzoabuxsLBOUAGBP0PCifgYSAdiRoFijVThxVQkGCMWPmTG7a8tDDD3GR2WDul2msiIvRB9AU6XfeehtHDh/GqNGjMVddZRcqn5zMcGOivr4OZ89GsiBEqa8015K2LanacvyECQgKCsJQDw9uxy8YJ2JBXGcoW5CSoCjmQGnFU6dOxbTp0wyLQ4sWTRVFKCspQ3FFHeqadWjVH0JjDRrL81GUn4f8kkpUNALqcK9DOxPRUdHY+s1WrpuIOBXOOQ4TlCgsXb6MxY4Ky6h5i4iDcSMWxHVm144deOlfL8HSypI7Id33wAM/YHrr0FCSjtKMDGQ12KPF3hN+AcMx1MUCdnQsOw5FWRlIqmhHo/1wuPmrq/ZQK3j0oiGira/nOhGKNWSox2VtbQUvb2/OYbjzrrvgq54LFV9RgdlAK0UfjIgF0Yt01V6az7Bl81f44vMvuKfiuHHjcMvq1ZwxeZEuUt1aX4ii07Q9mIQzVU6A01D4ervAycYC1s3l0JVE4FxqMSLybeHk7QZ3y3qUhB9HRlo28pUV0ay/n+5wuWvG+fPn8e7b7+Dfr/2b+0FS8xYP5T7cdfc9XFRFvRlIHAjatRBxGBiIQPQiXRdJUlISPvzgA06n9g8I4ExJKmW+pAiJTycfoRzV+UmIPxGOuPRKFFj7w83PH4FezhhipRZg1QXUJB/BuQu1SGj2h8/oUQh2M0H7+aPITElBXAVQe9EPuXo6HzfNmqDdFnIpyC0iq+GrzZs5x8HTyxM3r1qJXzzxSw6wUnt5YeAhAtFbdLkKb9u6lYfcUHcoyiD86wvPY/bs2fqjl9Le1oKWxAO4EBeFo22hMAuchdXThyLERaM/A6goKETS6VTU60xhP8IP5lbucLbSIMCtDDXlxYiKrUVV7bV7jjS5660338Qfn/0DN66hHYtFStioD+T/+79/4DYlDNJSfmAjAtFbqKswLVFyJ/bu2ctDZEepK/2qW27h2IOtnd1lTXldUxlyz8UiLT4ThRpHNKt3yLyqEBW1jahpaVNnVKGmohKZqbVoNTGHs7cFNGqNmllYwNOtDQ311chIL4O2vntORn1dHVeU0kDgPbt28U5LsrJ+KMtz0eLF3DCXbrOUwHkPG6b/LWGgIgLRi9DC2qRM8kTlvw/38cFv1ZV37e3r9EcvdUE6KENrQxpiE2qVtVEPV7MMlKcewjdfbMb2Yyk4m1uHVpSguVmLkkpbdQfmcLDTv4lm5rBRotPa3IiqsmL19eoFolm5E4mJiXjrjTfxpz/8Edu3bUdLcwvXhfzvX/6MF/7+ImbOulF6MwwiRCB6CfLbT0dE4OTx4/Dx9cGtt63GDRMm/HDdga4cLZV5yCk3RbmJF4YHjcTY0e4Y4dqAivhIxBw8ifjiMmQ3qCt9g7IcTDWwUnfHb6KJKZv7ba2taFKuQJuOrI0rg3ox0LyJt956i2snIs+eRVubjusmKP2b4iU3TJzIw2hIHCQAOXgQgegFaMFRcRINeqE06nnz5uOuu+7iiU8/iLYGrZVlqNTZotllJHzHTMes+dOwYJYvHIsTkHvsoLIiapChNVPuiakSCFNcnF6v3BVuxnIZt8UQlIdBLkV8XBxbDW++/gZvYZIIUB/Ip55+mid3TZo0SfIZBikiEL1ARno6vvxyAzeepcrFKVOnwNnFhXMDfpDWFlq1aDF3gKmtM1ztNHDQeMFi6DgEerXD174YJWUalFWbK8uhVQlEG53egbIYyB0wUVaFhZXVj/4tGgD8+n/+g+f+/Bf19b8sEn4jRuCXTz6B3/zutyxow4ZLjGGwIwLRg1CCEI2DCz8VzrUWQ1xdsXzF8itvNmtuARMrG1iam8FK084CwImRtsMx1NUa3s5KB3QO0Gis4ObSAlOTNtTXK6OBzlF/u76uCWYWlnB2dVF39f04AXWJplb6WVlZ3D2aMiFPhZ1id4hSvlfctKKj3HzuXA6okstipHl0Qg8hAtGD0Dbg+i++4G3NoJEjuSMU9Ty4YvPcVi1sNy+4QQt7rXI1WkxQSz830cAEdjAzd1OL3ws+Po4IGK5MB10rSsv1AtHSqiwWLazs7DE8cBisbL7fGp6Cpus//wJ//P2zeP+997gXBfWeePaPf8Sr/34NDzz44PcG0Ui8YXAjAnENdL26UlUmjaA/c/oMTDUarFixgouWrq4ZihvMHPwxJtACvs6VuJCUheTsApTkpCBP54p6lwkIcHPG+JGeGDE5GHa6ejQkJiA/Mx3JhVVI0frBwW04poTYwtOlY2GTaFF7N2resmnjJt6+JGEgAVuzbi1nQFKaNH1PW5kiCEJXNM8p9P82KijDj/o4FhcVqUXQiFGjRsHd3V1/9PrQdTHR4nvj9dd5ZNx0teCoK/PVj+W3hKmpLYZocqAzqUVslgbNZTmwbMpFeoMnWt3GYcZYD4z0NIedszWKs6tQnZmhXIFC5Ne0I6vOHyPGhmDaGGfQ5M5m5VJQvQQJ1wfvvc+1KzR0hgbw0O7EPffeC78RftKjQTCIFGt1A3rJOsWhpLhEicOX2LN7D9crODk6YmRICKZMmaJcC2slZM3cBMbRyZGHwdC4ek8vL8Ni1q5TTy4TZcp3SClWBp5pO+xtzdBs5gobhyHw97SFlRkFM6tQkFGI4uJq6KyVC2LlDHMrTwz3dYIGjdi9dRvORUVzfIF6QZJwUZu36TNmYvjwYVw3MVC6ZQu9hwjENbJ71y785X//zBYNzY2kXAGNmVqiyqqhoCUVLtH2ppOzE1sUVOA0zHsY7xC4urqq42YcUCTf/3tpyw2lqG3UoKbdHq5O5rD8nkOohKK9CdVVpmhR76KZpQ5t6nGknE/CS//6F2L1beXp744MDsbDjzzMXwXhShGB6CaUQ0Ap1DRY99iRI1i8dAnuVia7tVrolI/Q2trW8bWlBTW1terxKnegugZFhYUoKMjnLUnqAeE9zJsf9+TQ0EsrO4l2GkOn/la7EhGlHT8UHcjJycO2rV/zLkpOVjbHHWj35LGf/xxBI4N4pqeHp6e4E8JVIQLRDdrVqk1NTcVbb77FOwPeyiJYvWY1D5i9BPXKUkVkZVUlN1ShvIic7BxcuHCBtxsptdna2houypLw9vaCp1rAXsr9oLRsskR+DLJaSkvLUFpSzFWiNFeDtjLJWqHfp8KwO+64k78XhO4gAtEN0lLTcPzYMd7SpJjCb377O4SMDrnsdia9vF1vBFkflG1ZkJ/PQUTqrUCJSjAx4TZtq9fcxtmL391y/C6pKSk835LcnLS0NHZnlixdipWrViJk1Ch2LShWIjsTQncRgbhKautqsenLTThy6BBf/afPnMFXaTv7q+9GXafuq6SklKdOUfJSYUEhapU7QqnOFKugRR4yKoRFqBOKa9DzDgsLQ0pSMgqVy6LV1nPgMzR0Cm6YeAOCQ0J4y1IQrhURiKuA/iZVO37y0UfK10/Cw488wgVNFHDsiat01oUsnD17lqd7VysLY/To0Zhx440InRLK1gR1jy4uLuYqyy/Xr2f3xdfXl4/T46DELEHoSUQgrgK6alPbtfr6eoQEB+Oue+7u0b9JC55iFeR6UK0EtZKnd8fewZ6H7FRVVaJSPdc8dZyKrKiTEzWJdXF25rTuK4lbCMLVIJmUVwCZ9ecTEnBYXdlJkDyUyU+7FtS1uSfpdC0mTZ6M6TNmcFJTeloaDuzbz7slYSfCWBjJaqC/Ty3fQkNDuYWdiIPQG4hAXAF0Vf/Pv//NxU20gOctmM/mfG+WQFur+3awd+DAJgU0yb0gV+Znj/4ML7z4Ap79wx8w9joFZYXBiwjEZejqddEOA6Uph50M48xDcitmzJipP3rpudcKWSrUoo6at3z84Uc4ffo0zJRVMX3GdJ6fQeKUm5eHmprajoQszbd9KgWhNxCBuAydAUfKU6A0aupGTUJAgUCqeKTkpk56aguRxIF2Mk6dOoX33nkXH3/0EcchaFT+bWvW8Nanf2AgIsIjcOjQQVDBlSD0NhKk7AK9FJ0Lnqoz9+zZjfWfr+e/9fNfPI6lS5dyU5WeJi42Fl9v+ZobzdTU1nD2pd8I/44R+aNHw9XNjc+jeMSO7TuUBVHNad3LVizHqFGj+Zgg9AZiQXShUxxoN4Favu/auYt/tmDhAr6K96Q41CjRoSSpmKho7N+3H1u++op3LawsrRA6ZQpuufUW3qWgnAZKeKLb2HHjMG36dFhb27D7Qe4Pzfk0Uo0XjACxIL4DjZajgbRfb9mCsJMnccedd3LfBDL1e3IGBFkM27dtQ2lpKUqKizkISaPr7rnvXo512Fhbw+Yy8zopvfrQwUPYvnUr3NzdMWVqKObNXyCVmUKvIBbEd6A6CQoS0qKlWoYbZ8+Cv79/j4hDfn4+z8fYvHETtn79NbsWtja2PCfjzrvv4uYt9LeoyrNTHL6r39SAZtz4cZhx40yOQxw+dBi5OTn6o4LQs4hA6KHKy7y8XERHR+NUWBgnJz3w4AM9tpVIW5VkkVDw8ZWXX2YXhlKo71UWw5+few5/+p//4ea23+VyQdDhw4dj+YoVvM2aEJ/AlZskaOJqCD2NuBh6yMT/5OOPuYkrtZOfN38+blu75ppNd7Iawk6c5JhBWloq/2zYsOHc4m3MmDEYP2E8b19eLSRoW7/5BmfU/drbO3C69eIlS368c7YgXAXyaVJQgdQ5JTRHjxxhc52mR92obt0VB6rWpOQqyr6MOHWK+0Hu3bMHVZVVCAgIxMpVq/DQww9hydIl3RIHgoSA8iNIyCiOQXM/m7sxTUsQfohBKxBdDScqmX75n/9CUVGRuqJPwPwFC/gK313S09Px/F//it8882u88/Y73Pth7ty5+NsLz/Pg25k3zuyRoKKXlzf34uws5KIdDUHoSQatQJBvT81VIsLDsX3bVnZVRoWM4tkQlGNwtVDvx5joaB52S6b/gf0HuPKS6jVIcG5aeTPPm6CmMJQF2VOugJubO4KDg2FrZ8vNa+hvCkJPMahjELHnYvG/f/oT5x9Quze6wtMcyu5w8MABfLV5M+c2lJaU8nbkunXr8IsnfgkXmqql0fRKajS5FRcyMxGvXov0tHTMnjuHd0UEoScYtBbE6YjT2LhhA/d3mKDciief+hVXUXZyJbpJV+tjx47h9f/+Fx9+8CELDjWkXauE4elnnsGta9ZiqIcHzC0sLopDT+sxVYCSlUJuBokl9aMUhJ5iUApEcVExZy4eVu4Amfy0W0EJUdSWvpPLbS8SHQ1pWzleQTsIu3bswIYv1rM14+bmhuXKRXns8Z/jZ489ikmTbkC7rgUtLa1oaaWWc13vV33T3oa25kaexq1taEJTi/qefqw/41t0aGtV96OskqYm9bVV1zGST0H3R41oKU+DBItmhVA8QhB6gkEnENQ09sD+/YiKjGRBeOa3v+EEpSulsqoKX3z+OX77zK/x71dfw/mE89yR+pnf/BrP//1FdlFchugH5jSXQ5sfj+TUHMRdqIW2uXNZEy3QNRQg+8w+nNz6Fb765iiOxecjt0n92iUKQb9Ti9L0c0g4cRxhJ+IQl1GKSvXTrgP+SSAowapFiRe1oSMXRxCulUElEDSBizIZTxw/zj0kaStzkVrQXXs+Xg6qzaBCqRPHT+DAvn0sMDExMZzVOOGGG7B4yWKe4k2uCtVMmJKV0N6Iurxk5CdGICYxG7E5ykpo6RQIZQHUl6GqIAfF5VUoLilEeUY0zsclIjy+HCW13y799vpC1GbG4UJBJbKrW9CqzUdlcQ7Op6jfq/tWcGj2ho+vL7sw+Xn5PJdDEK6VQSMQ2notZxzSlmZSUhJnIlLtAzWe/TEKCwrwmrIWnv3d73hUPlkh06dPx5+f+wv+8tfnOEGJhOEi7c1AfQkqsxOQEhmB6JQ8JJa2oLFzVL+yHsovZCMvNR/1Q8fBbUwwQl3zUZUSiR07o5FWWK23DtpRnRqPtH17kVzvhLrAKZgytg2O2nQc3X4OSaml6LQT3JX1EBgUqFwOIDc3Bw2NDfojgtB9Bo1AUFv4b7ZsQVlZKcaPH8+t2gICAw3WWNTW1PKsic2bNuP9995nq4N6NsyZO4eFZe3t6zhngqwIChBesm1pou7TwgF2NrYYakcvsg7aJh3aLgYoNbBycoeLz0j4+vojONgXIeM9McTeAu2VWrTTmCyORGQjP6cA5xKa0GxqDTc/Vzh5e8FG1wQTZXEUFBQiXSkJiYmjgz1naFKMpMOCEIEQrp0BLxC0qClRKfLsWXYNKEHplltvRVDQyO8FIsk879xliI+P44rLD95/Hzt37GABoIYxTz71FB7/5S84bmHY+lAvq4UTnId6Y6SvG1wdrGCm/tS3f80M9sMCMGzsDQjydIKPpyvc/P0x3HcY/Nyd4GhlqSSkTpk9ykUpqUZcsasSIQv4OZrAxNIfVkrUPBsSUFFRgsQK0JlKjKw54NrWplPCUYDGRolBCNfOgBcIiuh/9MGH2LVzJzdemTZjOt9omO53odwKckGe/9vf8MpLL/NWqJ/y6x/56U/x/Isv4IGHHoSbe0fzlitCKQLFIy6Voe+jq6pHUUI1LJVVMXLhRAz1UGaHrh4ozkdNfQNKLWjepzk6HrE9LCzV/61LubN1UTGVgAOWdrY8h5O2Smi8HyWBCcK1MqAFghb8yRMn2AKgbUnKZKTYwXfTnKnSMvF8Io4dPcZWxs7tO3i0npu7K//OOuVO0Fg9yljUmF5FspNarDpdx/bmZWlXzkFrGUpzs5Acp9yJoio0aNrRRIrS0kpPAE3qq9balof8dszZslBi0a5cGy2alZVQW021H/RzDYa4DoGJqQk/7+YWqcsQrp0BLRCbNm7E3194EdlZ2dxD4b777+NpVV2haD8Novntr3+Nl/75Ty7YoqG6y1csxy+feILnThgc1X+N6FobUZ+TiIL0aCTkpuL4wRM4tH4/YnNqUWFihvbWjlBlqxIHE+XifBstUYrTruvIyVCnqH8yFE+hhCxyq+gmCNfKgBGIrhdpsgio6cvunbvYH1+ybAnWrF17SeUktWvbtnUbPv/sM+zbs5cbxbgPdeey6bHjxnLgkdKmqSIzLy+vVxaciYkGplZD4Ow7EiOnh8LfuR0OBXEoLq5ETr0GOuVWmGuUMCghMFHPsOM5tkHX1q4ej0aJhgbm5nQ/fIAxNdG/pQbNFkG4cgaMQHT1809HROC1V17lNGrqt/Dr3/6Wh9p2QhmH1K36lZdewvvvvYfMzAyMGzcODz/8MB5//HEurqJEo23fbMXGDV9yAVZvdJE2MbOCtdcY+E1diSV33otVM0Zgmn0RmuvqUFBvBp2dI6wtLWDX0qi8kTb9lmYD2pRL0dBsxzsoDvbKueji9fR0KrcwuDF6gehcDtTIlYiOiuaejdnZ2Vi8eDF+rVwHih0Q4afCQS3lX3z+eexVVgPtYlCa9dPqHNqZmDJtGnxHqEWqvq67/XY8pASDCq3IiqA6h6uulFRXc43GhAu1yEUwNTUUrrRQN084u7jCzckWTnamsHK0gamHHxxtrOHRWKYshlZU87nVaG5tR3m9B+ztHeHrRW3o+ADT0tLMiV06EQqhBzB6gejcI2hpbeFAJLkWlPUYGBiIFTffhFlz5nBDmJMnTnIAcs/u3dyUltq1USYl1WDcfsftPCmLYg10Vfby9ub0aRIPqhBtbmrmbVIa0U+L70ppb2niGovGBq26j0Y0XcykbEVLQx3qqypQXVOHuoZaaLXlqDVxgJl3EDxdbeFpbwmNnT/cXJ0R7FKnzq9Bbm096rW5qGkyQZ3DKLi6uyHARYmj/l1saGhgy4diE5f4XILQTTTPKfT/NipoIVBhUllpGQ/TpR4LNMti08ZN8PLyZItg5MiRSEtN4+zH9Z9/jiTlclCvB2onf8+997LbQWnWP1SGbW5uwaJA25+0ZUquiK3dj436Vwu0pQoV6ZFIPheNEznmKNc5YVSAO9yHWMBcV47cyJOIPXYCUVmlSLmQjeL088htsEeDx0SMCfJCoJ05NLCHTXs5HMzzkVljiaz0cpjmxKBIa4Uy7+kYP9YX412t2P7QKQuDXgsaMFxYUIhFSxZz70pBuBaM2oIgF4EWNy1gijtQdeWQIS5wHeKqFkspL2ra4qQrP5n3U6ZOxcLFi7BgwQJMndYxyo7KpX8IEhTe+VB/q7y8gtu70ZX6h6HLt3psTj6wD5yJyROCMSvECc42nUKk4R0Hc3Nl/6irfbtOuR+WjnAZ5gO/EH94OFqj41FpYOs1An6TJyHQ0wEe5u1o1wyFg2cAxocGwlf9rPPRN9N2qBIw2g51UGJpoYRN6F80NTYiNSWFGw3TiEWybPs7RtswhtqrUYk1VVNSMJJEgNyGVbes4mpGGkZDbwBZFiODR3KVJeUy2KmrP5ngV9PRia7Ib7zxhrpKt/H90C7HjxV4kUi08+KnEm5TtJuYwoziEbzl0I62OmX51FShtE5d/S3s4KBEzc7KHNaa9u/FKtrbWtBcW4GGxmbUmTjC0toaznZmMOtyHllRmZmZPAWcakWe+NWT3BRX6D/QRYtS98nypYvTxEkTMVq9R/SZ7K8YrYtBczPpap6UnIR4/YQpoqm5CenpGRyPmDVrFjdvoWQnsh46+z18N8X6xyAxIeWn5CN7ezt4enldwbh9ZR0oUaCtSI3GFBq1mL/9u0ooLGxhae8MJ0dlWTg7wt5SAwtlYFzusdF9mFnZwcrOAfZ2VrBV53YIzbeQ9UCNa+nDR4lg06Z9PyFM6Fvo85BfUMBNfRISErh3Ke2gUTEgWaUWlpa9OjG+OxitBUE9IKl0m8bjcfm2UmHKXSCrgXoiUG8Emqe5atUq3vqjPIarCTB2Ym1lrd7UfO5MTYvPS4nD9Okz2IrQtenQpiyE7tEhGLzO1eOjx/iDbwSdy/9QZ3X8x9B9UMMYyvw8fvQYd9OmnReqMB3hP4JjNUb6Fg8o6D3ivqUxMTh88BAOHTyIWnVRc3Ry4ipcKvybPHkyFxBS4yFyfcl9ptvVXtB6EqMVCApIbtiwgYfcZGZk8iJwUi82jcijqzsFEn19fbl2go6RW0GFTB1L68pfcHNzM05dpr6VVN/g5uoGL28vjnPQVuK1vHzfvvHqPvR380P31vVRd55Hd0EfopLiEh7+S7ENEghqdUeNbEnEuv8IhZ7CzEyD+rp6TsgjyyFLfaV+oiQEZDXQBc5eWXyurkPgPWwYQkJC+EaCQeLSVxitQNBAmh3btiEmOob/TU+DejLQ9ia5Ehq1UGhB86wIfordU2GKB9B9lOsTpeiNpK3Qi2Xiff3qqadFQkMmKrlZNNOTfdpO8RF16Hv0Ik5uYG5uLrsUZOnRRYs+t9TCsKWZcld0bD1QzGzmzJm81U7Dm+nz1lcYrUCQ6VxcVMSNYqkRDFkNdKN4AS0YuvFTu9Znp95cuh/OLaBv9fdNN6YfCATR+RgvPj5WDjrQcVzoQ9T7QBcUcn+pL0macgezsrLY5aX3qo2q7dRXsiRGBgezqzFlyhQEKNeDLnZXE1DvaYxWIAhSXhKJYmVe04tLSksZh1RB2bMrw+Tim0QvV8dL1r9etg5hMO23j2+wQ24CjWeIjDzL4x1joqJhYWkBD09Pztuh2Janp5dyL7zh7T2M3VgnJ2d2cS9ejPoAoxYIQTAm6pQFcfTIUe6mTk2TKZA+dtw4TJw4EWPGjYV/gP/VtRO4DohACMJ1ghr8UONj2p63sraCu/tQZUF4sBtB7nFfxhoMIQIhCNcJClImnU/kQUpkLfTnBKlORCAE4TpBQWTaEaOYAm1v9mXw8UoRgRAGHZQ0R2nztGDN9AlJ3aWxtpbDwRpbO059N+ripssw0J6PIPwoVCNDeSNUs0MNfrvbLay1WYui7FwU5BWhvk2Hi2NPBhBiQQiDEkoqo/msNGSI5olQ1i0NQaavV2RRNGaiKv8Cdh3XwsTBA/NXToK7hQb9aw/i2jHaYi1hcELXs2u9olEMgAKGVF9z/Phx5ObkcJ0ExQc4aUlBOTYExQkuGysoP4eitGjsOlWHkkZrBIV4wM7OkhsL913WQs8jFoRgFNDHlGIGlH3YSk051TLs7kKkpDpqH/ju2+8gLOwkGrQNnOlI81qtLK24WpcaA1FuAjUdotqWS5KV2utRl7oPSWdP45OjGjTa+WPJyukYM8YHwz0cYKtOGSiWhAiEYBSQMNBVnuaqZqZn8II11XQvhEZdwurqanHm9BlkZmRwCjRZDyRArervUNGUf0AA1/VQLQQNZabGQTa2tsqaIKFoQNOFg0iJOYsP9mvQpATi5jXTERLsDU8XG9C8tYES3BOBEIwCcgloDAF1Gd+9axeb/RcL5noQXg78XzvMNBq4ubvz5PZ58+fD18/322Sm2lMoTT2H/2w2B4YE4aHHZsLH3qLL7JKBgQiEYBSQBUEzVs/FxLAVQRZEd9OSzczNWHASE84jJyeHy/mp8pfuk4YmkSj4+flx2fVwdSMrgr53cnb6NoCpjUBFWixe22gBU9cg/OQXM+BtqRlQ8QdCBEIwGuijyjkMyhW4FjoKpyrw4fvv4+TxE6isquL7pcxGGp5EFZU0+oDqJGgg8mWpO4Wy1Fj8e7MFTJQF8cjjMzDMhhoNDyxEIIRBCW1z/v35FxAVFcVjDmh2ytixYzHMZzj3ZLC3t2fBMOjG1IahjCyIzTbQuAfjsSdmwHOg+RcKSZQSBi0+vr4InTKF4wvUjHjOvLmYNGkSjwug7mQ/GOMwM4cJjUVsKEF9cTZSM4pQ0NSGq29q2L8RC0IYdFCOA2VSVivXgiaeOSsxoIaxBnMeLkd7EipTz+Cjl08ipdwe7otXYNqscZg+diic1OGBYkyIQAiDDhIIimNQwLH7dRgVaCzPQdTBeBRUK2siaAL8g7wxcpgDqC+1bHMKwmBHrRydthatMEGLlR2PLfjhMUzGhwiEIAgGkSClIAgGEYEQBMEgIhCCIBhEBEIQBIOIQAiCYBARCEEQDCICIQiCQUQgBEEwiAiEIAgGEYEQBMEgIhCCIBhEBEIQBIOIQAiCYBARCEEQDCICIQiCQUQgBEEwiAiEIAgGEYEQBMEgIhCCIBhEBEIQBIOIQAiCYBARCEEQDCICIQiCQUQgBEEwiAiEIAgGEYEQBMEgIhCCIBhEBEIQBIOIQAiCYBARCEEQDCICIQiCQUQgBEEwiAiEIAgGEYEQBMEgIhCCIBhEBEIQBAMA/x8pVkDfiVjTfwAAAABJRU5ErkJggg==)
Here are displacement
time graphs of particle A and B .if
and
are velocities of the particles respectively, then
=……
![](data:image/png;base64,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)
physics-General
Physics-
Which part shows initial velocity of the particle?
Which part shows initial velocity of the particle?
Physics-General
physics
A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is RO and mass of earth M, the angular momentum about the center of earth is,
A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is RO and mass of earth M, the angular momentum about the center of earth is,
physicsGeneral
Maths-
If
, then ![f o f left parenthesis x right parenthesis equals](data:image/png;base64,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)
If
, then ![f o f left parenthesis x right parenthesis equals](data:image/png;base64,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)
Maths-General
physics-
A graph of moving body with constant acceleration is given in the figure. What is the velocity aftertime t ![?](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAANCAYAAABlyXS1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFBJREFUeNpjYGBg8APiw0D8A4g/AfFsIBZngIJNQGwJxExQvgdUMU7wA5cEyJQ12CRsgXgxEPOgSxgA8UIku1EAyBGCuOz6w0AT8J9sSQwAACByDRAMT+pMAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4/PC9tbz48L21hdGg+UBDergAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
A graph of moving body with constant acceleration is given in the figure. What is the velocity aftertime t ![?](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAcAAAANCAYAAABlyXS1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAFBJREFUeNpjYGBg8APiw0D8A4g/AfFsIBZngIJNQGwJxExQvgdUMU7wA5cEyJQ12CRsgXgxEPOgSxgA8UIku1EAyBGCuOz6w0AT8J9sSQwAACByDRAMT+pMAAAASXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4/PC9tbz48L21hdGg+UBDergAAAABJRU5ErkJggg==)
![](data:image/png;base64,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)
physics-General
physics-
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
The graph of displacement (x)
time (t) for an object is given in the figure. In which part of the graph the acceleration of the particle is positive ?
![](data:image/png;base64,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)
physics-General
physics-
In the above figure acceleration (a)
time (t) graph is given. Hence ![V invisible function application alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
![](data:image/png;base64,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)
In the above figure acceleration (a)
time (t) graph is given. Hence ![V invisible function application alpha horizontal ellipsis horizontal ellipsis](data:image/png;base64,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)
![](data:image/png;base64,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)
physics-General
physics-
Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.
![](data:image/png;base64,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)
Here is a velocity - time graph of a motorbike moving in one direction. Calculate the distance covered by it in last two seconds.
![](data:image/png;base64,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)
physics-General
physics
According to Kepler, the period of revolution of a planet (T) and its mean distance from the, sun (r) are related by the equation
According to Kepler, the period of revolution of a planet (T) and its mean distance from the, sun (r) are related by the equation
physicsGeneral
chemistry-
Which of the following ions forms highly soluble hydroxide in water
Which of the following ions forms highly soluble hydroxide in water
chemistry-General