Question
A the instant a motor bike starts from rest in a given direction, a car overtakes the motor bike, both moving in the same direction. The speed-time graphs for motor bike and car are represented by
and
respectively Then
![](data:image/png;base64,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)
- At
s the motor bike and car are 180m apart
- At
s the motor bike and car are 720m apart
- The relative distance between motor bike and car reduces to zero at
s and both are 1080m far from origin
- The relative distance between motor bike and car always remains same
The correct answer is: The relative distance between motor bike and car reduces to zero at
s and both are 1080m far from origin
Distance travelled by motor bike at
s
(18)(60)=540 m
Distance travelled by car at
s
=(18)(60)=720 m
Therefore, separation between them at
s is 180m. Let, separation between them decreases to zero at time
beyond 18s.
Hence,
and ![s subscript c a r end subscript equals 720 plus 40 t](data:image/png;base64,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)
![s subscript c a r end subscript minus s subscript b i k e end subscript equals 0](data:image/png;base64,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)
![rightwards double arrow blank 720 plus 40 t equals 540 plus 60 t](data:image/png;base64,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)
s beyond 18s or
Hence,
s=27s from start and distant travelled by both is
=
m
Related Questions to study
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
Assertion : Owls can move freely during night.
Reason : They have large number of rods on their retina.
A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAUgAAAD2CAMAAACDfe6wAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf////v7++bm5uLi4vn5+c7OzouLi5OTk+rq6vDw8JCQkCQkJERERNvb2/7+/u7u7oGBgQsLCzIyMtfX19nZ2d3d3e/v74iIiBcXFzs7O+np6djY2MTExLGxsaioqJycnI2NjYqKin9/f3t7e3x8fIeHh4yMjK+vr+jo6Pf39+vr6+Pj49ra2ri4uKCgoImJiW5ublVVVUpKSjk5OSUlJS4uLk9PT11dXVhYWFpaWktLSzU1NWVlZdLS0v39/efn57q6upubm4WFhT09PUhISGtra5GRkZmZmaWlpbS0tMfHx8zMzMvLy8XFxbu7u8jIyKKiom1tbWpqamlpaWdnZ2RkZISEhLKysuXl5fT09N/f30FBQUxMTHp6epqamrCwsM/Pz/b29uHh4YCAgFFRUXR0dL6+vuTk5O3t7fPz86mpqXd3d15eXmBgYHl5ea6urrOzs/Hx8WxsbD8/P/j4+Pz8/MbGxlBQUHZ2dpaWlrm5uW9vb4ODg/r6+tTU1J6enkBAQGhoaODg4JiYmFJSUry8vNbW1nBwcFlZWUVFRWJiYsrKys3Nzezs7GZmZtXV1UJCQklJSVRUVFZWVk1NTfX19RwcHAAAADAwMH19fSsrKygoKGNjYxERER0dHdzc3Hh4eLe3t2FhYSAgIJeXly8vL/Ly8lNTU9DQ0AoKCnNzc1xcXA4ODkZGRqenpxMTE97e3sHBwRYWFrW1tb+/vzExMXJycqSkpIaGhkdHRwICAn5+fhoaGp2dnU5OTgEBAdHR0aqqqiIiIj4+PsDAwBsbG6urqycnJ3FxcTc3NxQUFFtbWxISEhUVFZSUlDQ0NHV1dUNDQ8PDw62trcnJycLCwp+fn5WVlV9fX1dXVzo6OqampoKCgg0NDSYmJggICI6OjiMjIzw8PKOjoyEhIRkZGdPT0x4eHqysrJKSkqGhoY+PjwcHBy0tLR8fHzMzM729vTY2NhAQECoqKgQEBAwMDLa2tiwsLDg4OAUFBSkpKRgYGAYGBg8PDwMDAwAAAK7k0fMAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAPqklEQVR4Xu2dXZLjKAzH5wBU6UnFOTgFD1RxEe7Cq584DFyIK6yEnU+7s3Y6tuV2fulNO+nZGUf9RwgQ4t8XmQAOF19+hdMahssvvwB0UV9JfgDQqfwhQwJe2bidkSGPr0hA77PVRLjBL/N21iRD1gMbEkiCzlsdjaqllKqiucBvRDf8ufU5tCGBZBhrVSZqbbMnHIHtyzl+uWH7PqohweUQe7Qli+0dehzSRwI352CUIh1KufkjNm30WlUVrEfYXYhXDmdIzNHEGHT2YmzYOJYhyTFSB23ChmHNXI7kI4HUqIzev2OZ5DiKdEEZdozDS2EcRZHIbTrq7QLspbCPlHt3FwBtrFFY9/LIIRSJmlyj1DY9cIBe21kKd6z037Z4RTqvjbGPjVpiExfuI4G66mjv5hbBtYmJLWcj5iFbkdTHRP3Qx5BhFY1sjArS7lqyj/Q6xjxcD6BOXY0hliLMkoI7G/TGjCd3ICaN/8Ar/iYIuYZEbcJE5EiG9PzdlvIk1n2R6iMhh+lxjFOqve1MF9obQhDaa2OmZj3VM4M1vXPEkIykrlumIjHwJM/w4gEwqm/RQIYUdeMSfaQP5qeRDNa+ZTcFSGpKAhWJ5B5/7Ed8Nf0FRnFNW5iPhBzDj3cEVun+yqku9lcyEKdI1K9mHV0ILfih8CeJC39E+UhHdnxxP15dfho6I6olyVIkuDgd9VywxfYXuV6uhCDLR/rwehqcYp6+PaMpskaIshTpYxw84DSQKxkS0FtVg6Qum5HjI8GF+PJWaLiTUvDZBlXFpRkL6mxcfD0zBj4qnow0MWSRE7tCDOmvkc1PYMvcy3nTbL25SPGR1K5/DsOPgJRem/zjoe0oRZHkH49tRyE+kvyjLDuyE17miEUoEoOw4Z73SF57WZ8mwEcijWeGSxHwWrojQ9qnvISXCFAkWiNq2AyhFMW/Wbqv+Zbc30dCXnK/G+Cr0m0mj0f+/Vsz2N2QkIOwBWoXLIX+fKXL/IXK3Q1JDlLWQAWcB8isSGfSIkPu6iMpEBfV0TRDYm9IW5bMee7ba4M1ohYMGLQeM4U/tixZ8N1XkWRHWR1NI2utoo6lUwu2oezqI8FHcfOzBGRVUqIYaMl2nl0V6eLrmdy94H1R2i6b9GRF7uUjkSLI4VIcsHSb456KzEZoXRJsOyjQLTHMjj5S2lTFFWfakhDaJfuj9lMkvMjw2RUySWqxhNd62RBxF10I7bEJiMr2JrkmGs1gN0XKnRMHe2kpucxPeNvLR4IeEkblAfbSoO2CzMG9FGmj2EpiYIegzJsuzr/JfXwkRFl5y/eA1dkhOqu6BZmD+ygSSJDDpUDAGhNNKV0nfobcDVsThII6qppqXDKhsoshUeDk2SMuW7tsn/0uhvSSayr0QFvWXlDybw8fCaEt0gkGyI7ovG8T5fNgRW6tDrFjmgG0XHXNqKqq6F4bo+x8KbA1EaWUtGDxa4eMXa9E7cYcgaoEy1UUXY7z50u3V6S4hKlnsKiL5/GSfWSuAte77sFbi5Hca1OXLVuQPNYeLAJumSI3NWR+ubNLBGh1X8rFh0W99qaGBCN3tuJCNkUZ3kCh0qKJ3S0NCagWzEztA8YW/dAjLTPklj4SrdCFmnu00blnQdPeeD7SKdmDGuYu51lsr02DBvmC5OSA/mLJyva2PpKTIYfLIwBa6shGv96NLQVnY6BHjGV+bhIrcjORQNx4OPoeLpbUddRnd2m+R99SkXJzAh4AqxSXA+SivpPzppPpVVv6SLCLVkH2ArR2SMNE3mA/YUi0gTNZnvuhLRXpjMx0yCeAE1Zcc+Z69IsHp/mYjZyf04K29JEURA5XogE+vQC8RRrjjBY7fVTaUWekzNiQWymSfM8Bgkgih2DRUQO2ZZR4qFtRErAj97mhj6RGMeFy5AEYqnFkq5q6Uec4VK90+rl424aKJEEeoKth2t453pI4Xn4PqbV2N04w385H6noIQTLtDLu2c2l444rtEo92YPST7RSJgvOmHrkZaWxIjF2azKPbzEdSNC5+anzguuSFetw7OpPKVHHL7QwpbtPhDwBYz5tDiMl9QKhT7ycf2c6QB1hjIMC1U9n6lQbVPRqyP/6zte7+jTs285FOiaqb+SMUbKeuLTTQ42nl2PVl0dF0Y5uxIrfotcGbQwxr6E5tVTZbJj8d/eKHJLpcxkvKWylSfkrkFaQRdmNUsMbHPhJ2dUJ8G/lI/N/KZ3K42AOfDXNRop7Y7bCVIr05SvBD9PF4G3IP7/TYVIJzjgaPk53NJj5SfMbPHU6HDFz0s6iHm+Z61FFFU6eqV26lyEMsH/aA42o1TnWV+pz7ITWgQ291CFMH1rIiNzAkaOnZzjfAcxq+7grdsX+UZHsaq5HZyJD+f6q+SgK46A/GtvD1aMhXbGTI5xy0Fl3w9/ZKFs2QtrS5qjx75m8bHwl6iMB6aBymuUeERXv0NwOzDZUPcHKPt/2abXrtcL/E4TWvvweuvyGzvXOVFcOVf+r8GgcbKdLc/hGwppjsMMckNSQCb9sOmyUlJDfykeaa306BkOpPdvZqKHMvmrmW3EaRqC5jKo5zL+Fs6BeSJIOzJcmKXN9Hornk6aJJ10BI4CLObS2mHQlKTXyBIddX5G0ODWy6WS+Ly/FzrVNEbXhWtxLzs+c28ZE0SB2aM95XN8D5scVGOMOFDml0yEnkZMeJ9dif2ESRt8zxXO5m6X8YbO0IZJ66BauCtdY7v6xpr+8jkcb5/Q3lJHvyoh9wuYzDyGs0JfkjmyjyWuOH/zVpfvE1sxvNJj7yVsJCJ6H10O4BbMy2YWMTRfrreUjUaV8NuexGtwOtqaUUtXAT7xY+0l+n5n3qrp0NitQmhWqla6RFZWs3UWSul20WFP4McSTyeQgC8RT71KoojCxdWRCfbeEj7zNMXUyKAgvn8lARTxj0m07BIY1wXFZLHPoWhnw4PIksmVSMRmjBGl/SdenQBWGV8R+nx50NXDJi/gTVlqC+Lxnp1PwFki18pH5O1V0YWWyIeywimLWokY3eYH7pQ7jH3EMUtWZzkI1zDfeUWJMns3MnWd9HHifneaTIf3Z2VcH1FXmQHYg97qnAgZ3d26zvI5+WYmXDhuQ19x6699kaWF+ReIDqC1dcjFoHfSHMLxjKilzXkEfJeW6g4QorN8oSRa5rSD6yZrg8ABirMoS6POQY8ig7EHuQVxjumH804uo+Mj8mawoHnkaugta1D5RhSsCzqGaLYG1FovjifE+83XxW9pHuQBmmv2JlRfKhNQdykb9gZR8JZv75G8dmXUWCX3C0zrFhRa5nSGknZ6/IuoY8VhD5K9Y15LGCyF+xqo8UX3L8g7AiV/uw9hhVDj/Cmoo8SPWFD7GejzzUGsOvWVGRTvgpIZ9lRR95nmCcWU+RTj9XBvzTsCLXMaTIU/HXYzVDyj8l5LOsZcjb1pqTsJaPlH6w18dhRa7wiSGbM3XZxEqKPFSZn8+wio88UlGVD7GOIm2cqlX5p1nFRx4pI/JTrKFIJEEOl+eBFflpQ7rz9TSrGBIfatOchc8bEs40L37j4z7yXNO5N1iRH+21MR6ndOkn+bQiUR/g4MNV+LCPtOZ0oXjPhxVJDvKcdpz0kbzD5D1ON3l2Y0KRXMxquFwI11scLk8HK/LJkD6+uSmdi7afMfJpjA0JcfrAlv/lIKf1rcTYkLmkt+xxoANr1uDZR4Kztbzj6NiOZ+1oGFbk/edH681bhUbdgQ5jWIMnRaK3zpQ3lPV04PMJfeWjj/QZ8R1DcrJ4bzzwXC5QZnGkNXlQJDlI/8+p5Ya827kJ1hgTRgdv/HkefCRq7b0ui6eD8H4HrFddDbouOJr6T3CvSMjGRFPSrXjrPNzDJhDU1Tikv1ZmiaS1YEVeDOn4nCtdF5wX3+DjX4bLhuY9Ia68FUQdlztDYjt+BMLUsTc/wwdOP8Q90Dqr3B8acR5uhoSh6lJQiwzJ7frhz6MqyH/tyZa2Bx8JmHtHB66dmzEXPr3pUXmQa/VZx0eZ/n1YkdQSXTaFq2WCCyXV2ZZEO9psCLqqYOp5dioN9IqkgbJSPAfmKApUo9PMfwAo7BnZHFXVWh3oqLRP0ftI5JMJSET9CQUzxyXkHsdlSX2h4Id+HWeb4R185BsAedWJeVzLVUAhjg+d/+MMPnIx1DtNegAKxzmBKhyh3vhHeVeRPkxXyfXNvBBvh62cBFbk8o/MvfV0125bOO9rd7bZ8ncUSYMZM73sCmg6Deiu1cbPwxuK5LmN6Uky8CGlmLUSeyzaeiw2JI1l4uVQlWfQRmWCDvEsxX7uWGhI9Db+XJwSfM+5JtB6FvlIoEhb/e9a4QmtyCxQJFhDrXqRIzgPs5s2eAp5zrd9ZjbzDAngclDqbLHhEub5SBeMCkLPqRACK/J170E9DLXpoM8WYS/kfxSJzmdt1AnjwqW88pEAmKOqxjq556aI4UdFUveiDYU72p4v/eQdJhRJXbTL1vJI7xvuzKYZEqgR81d7+GyDKaka6qbbyZ/0EM3wSXYGdElcVD9yYX1jVG3HIRc+YJHbdWBie27QZRT2kNJovOqPU3wgsSVTSl374qfLg78k0SUxG1IsH8h9RY0Zv9fOXxTynxKTKAwOLw+mf76+xS/b8/2TrO/D5/jy5cuXL+fk18Hy8zk9Z8U9pqAuof8f89myLKdx+W0z9EdE0fj1fJWYxrjwfilO369qfBXJmuI08jctCXrIwXr7N/FnQK1SV96cUAC74ITwPw7m2pX43iI45JpKW0B3bVLZOQBv22t7SRGmN/T7XdlxAMCY4pvBC4bSJV7gyMY4+pXEkF2OSqOzUfVeE7yOP6Vy/THAvFeIgPGmqIyQVUr+nyd56uxsqcF6HxMfIgY+aJfPkfLv6zvbvnsgVPaRLqTiSZ+JfC2gSdFTE29LTJ5rc0MoJ8ivBlvmJ2eN0M2Q4BQp8p+rZM5mXNai4hTWXKL3PnTd3w8zwSzb0vjAYDTeOk5Ww/YMsfJGCeSKG7zQFGOklv/3N6HQp38/qQB6RZIhmyJ7Q4ZmSFCJ/l6rgs82X/vwvwv4MjtbcMzFkP5iSLIX9oZsiqSmzyfcnyFcB9t61zd5VOTQtC+KZKXrdJa6+y6WX3zUi4/0zYSDpwztGPtBkcM2HimL2uvhlbL49roU6BIp4Lkqkjtqfm9QJMdWyVCg6f5+ipxN1b6fkw+2Vuu4MEYXhmfgmiMZ+xds1U6ZcIIii5nGIb9IBXQx0dDGm8SDmsrPXpeUlKfuh8LzFoyndIbdPGh/l9/LcxTgrG71c/jZZXpBKqVry5MVmIeLL3Pg/K3bEydMtRf9z75W/PLly5cvX758+fLly5cvH+Hfv/8A983BHIZv1BEAAAAASUVORK5CYII=)
A particle shows distance-time curve as given in this figure. The maximum instantaneous velocity of the particle is around the point
![](data:image/png;base64,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)
The area bounded by y=3x and
is
So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by y=3x and
is
So now here we can say that using the integration method, the area of the region bounded by the given curves is 4.5. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by
X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
The area bounded by
X- axis, x=1 and x=2 is
So now here we can say that using the integration method, the area of the region bounded by the given curve and the lines is 13/3. The equation A = ∫ab f(x) dx gives the area under the curve y = f(x) and x-axis. The bounding values for the curve with respect to the x-axis are shown here as a and b.
If
then
=
If
then
=
The
graph shown in the figure represents
![](data:image/png;base64,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)
The
graph shown in the figure represents
![](data:image/png;base64,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)
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
![](data:image/png;base64,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)
For the velocity-time graph shown in figure below the distance covered by the body in last two seconds of its motion is what fraction of the total distance covered by it in all the seven seconds
![](data:image/png;base64,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)
A particle starts from rest at
and undergoes an acceleration
in
with time
in second which is as shownWhich one of the following plot represents velocity
in
time
in second?
![](data:image/png;base64,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)
A particle starts from rest at
and undergoes an acceleration
in
with time
in second which is as shownWhich one of the following plot represents velocity
in
time
in second?
![](data:image/png;base64,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)
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 ‘
’
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 ‘
’
General solution of is
General solution of is
In the following graph, distance travelled by the body in metres is
![](data:image/png;base64,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)
In the following graph, distance travelled by the body in metres is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAikAAADgCAMAAADxNQZ5AAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAMAUExURf///yEhIdbe1r3Fxffv7wAAAObm5jo6Oubv79bO1nNzc1paWjExMa21tZSclEJCSkJjGRlrUhlCUikhKRAZGQgQCM5aGRla7xlapYzeMRneMYwxjHMxGc4ZGRkZ7xkZpYycMRmcMYzvYxnvYxmtY8XOY1Le5lLOY1Kc5sWMY1KMY5Te5ozOYxnOYxmMY2NrY0paShAQUoRjlBBrGcWUnBBCGZzvpZyc787OzpzOpZSMlDoQEO/mve+9vYRjWoSEe5ylpe8Qte9aOu8ZOu+cOhDvpRCtpe9aEO8ZEO+cEO9aY+8ZY++cYxDOpRCMpb21vXt7c0IQOoyMjO8Q5sVr78Up7+/eOoxr74wp74ytc+9Cte+UtcVrxcUpxYxrxYwpxa1rUlJrzq1jnFJrhBDv5sXvEFLvEMUQnIQQUhCt5q0pUlIpzlIphMWtEFKtEIRjEK1rGRlrzhlrhIzvEBnvEIwQnIQQGa0pGRkpzhkphIytEBmtEO/eEO9rte/eY8VK78UI74xK74wI74ytUsVKxcUIxYxKxYwIxa1KUlJKzq1je1JKhBDO5sXOEFLOEMUQe2MQUhCM5q0IUlIIzlIIhMWMEFKMEGNjEK1KGRlKzhlKhIzOEBnOEIwQe2MQGa0IGRkIzhkIhIyMEBmMEO9ahDHvpTGtpXPvpXOtpe8ZhO+chFLvpVKtpTHOpTGMpXPOpXOMpVLOpVKMpc6t5u+U5kIQWs7mte9C5pytzu9r5s6M5s7mlJyMzggACK2tpc5rUsXvc3Pv5lJr71Lvc+/ehM5jnFJrpTHv5sXvMVLvMcUxnIQxUjGt5s4pUlIp71IppcWtMVKtMXOt5sWtc1Ktc7Xv5oRjMe/F785KUsXvUnPO5lJK71LvUs5je1JKpTHO5sXOMVLOMcUxe2MxUjGM5s4IUlII71IIpcWMMVKMMXOM5sWtUlKtUrXO5mNjMYyMWs61nEI6EM6UxRAQMUJjY87Fpe//Otbv7+//vYRac9bv1iEIECEhCNbFxe///wAAAFl2F3MAAAEAdFJOU////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////wBT9wclAAAACXBIWXMAABcRAAAXEQHKJvM/AAAXL0lEQVR4Xu2dW3KjMLOALQWEkBT0gLIO8qjirzLegarYwlmn2cz/fl6nztikjiRwYju+gC1lkri/mSTGk8Fcmr6p1VoAwL+AJuMLALhEXxXjKwC4AGbrzIyvAeA8hUoVx+MG8NDgVTFKgm5bPbx6x8g0TVFBx03gkclF2nhJwDKVR4YGc2UlJRXduA08NMsXLyCaq9cjM0NrJKTKJOL5+A7wwLwZiVorKNXmkz/SSW66ssFN1oCrAtjwxvqsPVfVsTRgtsQLg9hiUVcQ/wDWbUUZ42V1bGGIeSLuH62kLHJz7OsCD4j1UFRaWak4hFLn6HZeUhYQ/QBWCrpyzc/pjEGnAICFrpA4a1yeQVKAHaRF2dkwGHQK8E7PEfvkpewAnQK806ltfdZjBZ0CvGM469/G158YYx8AuALoFGAa4KcA0wCdAkwDdAowDZAUYBoQ+wDTAD8FmAZYH2AaoFOAaYBOAaYBkgIMUJyPo4ME59pzUE8LsQ/goHmjNkPJAamFUmiDUNnsF6uAnwJYeo7WqWLDxLAGlR3GOMcHFQhgfQCrL7iqClmOOqUt5YlZPaBTAKtG+meSV+WgU0iDTkvKNhMjsjtb8AT8ejQXy0GnNJt1JqWszIE4PJVZW7cDhYauO4+LlmjQKVQXDWPLV4TafY+2c1NRAcDplINy67carYfeBwPgpzwiuPtcL6tfR52yI69SvmdkIPZ5RLqS9+PLd/TxFA7M1hx0ymPzLNeoPZAKi+blYGzomEdZlajd0ymQo308KEvTtDxor0QINhJxTUiyMJIRTHAh1XJ/6inolIeD1MJKykv1IQbUVAhtVKo2SOoFbkpkWXN94MuAn/JwmEyhVCm155XQXD9p3dtvvbU8CX7qn/rD8UHQKY+HrsplU1ZFls1LtIJOeTCSVhZ/nkq2yDmf1YkLJOWxoLpYJYve3fW86E4M75wFJOWxIN79eCort4Hn9AwFP+URueWug055RJ6Q1ymzAEl5RG7SKdYLBh4NM/gpswCd8oiATgGmMcY+swCd8ojcpFP+04yvgMehvyH2MQp0yuMB+RRgGrfkU26RLuCnAzoFmIaGHC0wCdApwDQM6BRgEjfpFMjRPiDgpwDTAJ0CTAP8FGAaN+mULUjK43GLn2LA+jwgkE8BpnGLn3KLdAE/HfBTgGmAnwJMA/wUYBrgpwDTAD8FmIZRfHz1Qcdlseuo0vFMCFkfTHAHP+UR+dsdNQTEBVdpuutHWwnetI184fvdu8BPARaLnKmSl2PvSMKVdE0QtFzzPa0CfgqwSHSzfMJj5+KkQ+XQgqdDYk+pdCjefB/6XETlsK87cB+aD2tx0HrzOgiIFmjPVTFIdkVXrOyfonPt4MJBa5RGpSxAVMLhOhe764mZGtsaG6H2utYapFBZCv9HrkKusIDbbZqqcZmPGKi0DHrAD85OpxArKYMmwVK1+zolkp9CWqdR5id4JpNwq1Va0Crzwb2xAvBGD69dP/bNtzplXN7HiM2eTokV+9BWpRlHn8P2YDhJsQbo41SAaWCW2fCXrJa82m8eudMpi2Ij3/2UPfseSVKI9VFQpzM5bkeA8k0l0g34KnMxpXi2TmRZvpb7a389jX6KNTPCv00LlO2lXeJIivNRNsUiFxF1CpWvutharQK+yjyMsNbFCFHnhZQfWgVz1PhLSaq1cG+vENo37lEkxZkeZJ2hRO8n+UJjd/5WW7e2+PC6gAlgJjhDykoB4ejZvfOmG8nFOkWZXOaLxP6CkK+Z1Tj7pj3GWhy02aSo/hKrgBtr5cAATQOPjxRuhSqXdqN/HVfkyFesYqxh9su3qH1ulmy5OnwCI8Q+3kf5qrtHmfswMEAToI1shqXCqCnMH6dc5F4UfI3w1oe4x7z2L6mJaH0S7W0ssZauhEVZp1ALJJgLkEdwvZpx3YLrFNyi1NlA/1pW8W4h5UOCiLZfZut+OmQlEapWc3qgfxBap3hndpfk0GXE2IdIMXwMZioVkFeZRGIY2sj2lmGbwJJy+IBjIeN5EFRmoyLF7kPBrZ2ILoRCy+fZT1bYecne9Hz4l7qs4kkKkdnubIl1a2EMaDLUVKWSB8tmTyCoTnHeJao/pJUsI7YwTZoh+exwNg9GlqdDnmygLNjnRZMv0AXUKbQ5FJTF25+YN4/ufZLzVUBU5pAXHKGPytnrBIx9vjSPcgxx2T7Iq8yBdEygrJlaDxbO+mBvev7ZvSJWoUFeZSK7goO+lirbH1C+QDBJcQm37VG5CKkjupnJ6lB1elEBA3Qd2hecV21h3EJzpG4mZkdDSYq7T5/yX72KWHVAyvLQyBK2gZHlCeBKbUq0QUJI/mnN/vMEkhRqw+PPDzQuX+M948l7PmWHt3+gVa5hVNlhbApWZeV+8f0VwuRThiHdceMDXfJ4jzjJ3vMpO9xhgK9yjV68z/iiePrFCqJT3B1S++HxCJYRJSXh8tMnvoGvch1ScHakjacQIp9CmrXVKCcsHulijiUb81kMc7ZOxWq68X1IaCvlnFHkgQD5FOej/MPw+BDMUPofcGsvQVdZulYlb1amp9Ov1P3WJ3eC8tlH+VcQN7LczUlTPxomU5IxKZDaorEKfwp3S8oQHp/W90l+WynENDA++UC4MQWY3HEBs8msLiG6WzVshsNyr6S4R/hsHRHm9ztBZ6FVdVoc/BjQfDv8MGj+6uusHTPM9J2SgutTeZQdPZLxbhjNyjMPhE/BQRHCOWgn9+f5TOW+fMqQ6xo3PhN1vg+Rn6PkEV8FB3mVM7h5wJuqMD2Z5c3dpVN8wq09//DqmDolOatTBucJDNAZNM+sN4uE5Mv6YEbPZe7Jp2CfR7lwPzAfZqVFgS6HyZEnwUuVZt8lcv9+YNO1TJZKjT11pnBHPsX1R7kSZBxNpw/LxZ07A4RAq5yEjJeFYvM8/Qrdbn286VmNG98PbN1aMcyQAw4wWdnMsDo7bpYUfKrM4DtBrW2EyR0nwG2GlGBze5/dKilurOdqfosUER9quroSCGM/BgQG6BMJNjUvt9lhv9lr3Cgpfkrp1eGVPOPxblTCx9ZBZ3EGCPIqp8GmkWJOwfWN+RRneibcg7hzCD/XpxxDrVubdSAqp9HsRR30Jr7MTTrFzcSa4qNgETNHK7Oro0rEGiDIqxxhQ55u1bKKy3WqpkfJt+RTvDM7ZfT4X+sUe6hLZX0V0Cr79ByVaKNKIXk1w1W5IZ/ifJRyUrVQ7Nr8CcrCjWCCVjlAc8nawpwZij/LfOsz+CjjxvfHubUZ5FWmQ7F+Mg59WOY0W1JcUZn6SXly59aCVpmOkeoFIbRF/DDjMldS3FjP9Os+o/huPlN3jpdpmoGvMhXzumGEkD/kaLRkrqRY0yMmaxTMm3jPcsL4xGzAkFcBrTKNTpYno5V5+ZTchcfTi1Tjzvf56J9yDTdcCL7KRMwraseXB8zSKXPHenAZMUf70ZPpOpStrQGaKliPTSfTjcwy2R4tK2bQVmZSZMJ+XauZG5qUjBtT0Ohr5xCep6/soUO2dgrUFG3TsEwdiUOPRNuwtmlZ01xpFDc9j7IDcxbv5rwtp/opDlw5X2XcAK6j5cteq3RLd9ooncBHPfOKUxPXdyEWM6eIDL5KPGP46+hKdeDaTfZTXB5lbEj8fZijsdwYUAYR0GRW5fZAp0yVFC8oP/s6Y+urQF7lGsnYXb/n6tD6TBz3Ia1LuM0NHqg58p9D8qbnVm256e3QNOMKmGUdznFXoUNBmbgWh9Mo47INc9AiYpRMsrPzfc7RQ17lOoYjpNDmU6pykk7JfYXb/Juu49aniNn+8pBXAa1yEZJbnbJb4eWDKX6KK0i9qYHav69POaZnKURAtzFBpwxNGceNWfQxdcrnPm9TyJdqDXmVW7jup+ROUG5rSELbiE4BXd1U+4Ara4DAV5nPVZ3iC5du0iiWJKaeT24LeJ0tBQM0n2t+yuyxnu+Py6vAGNBsruiUoWnAfM9xIIk2L9nd5/0VFmbhyrBviPkfnMs6xU/Du/2a4iaiNqL1zWVSucurzM3bPToXJeXesZ68jNo/5ZbYZ8C5tQIM0CwuxT53Z7+1+B41b59xonJLC6sH5oKf4nyU7K6G0X3MdQjJDTnaD3Lvq4BWOc/xtTlvfZwxv9PvszplfBWBu3SKPT2nVabPtQTO6hTcuDVQxo1b0RHHkhe4v0slEEjsz+KcTvFRz+/KoxyjqzQVEAFN5Yyk+J7id/koP4C8cs1Ixw3gCqd7HbixHjGjW9wZqIm5Foe+ZSXxAwZfBdzaSZz0U3wKP8CAK35dxlNLtJpTm3+aIbMIBugUU2IfF/WgEAWnunwdX0WAZOJuSXHVoqkEAzSFE5JC2Hp9+1jPPnnc+pR78ik7esjWTuSzpDjTE8jP+875lB3aVew/jRvAeT75KUNjgHHjTkh1tIBySJKGhZCUBfFNM8BXucbxuI9fyC+Yjxf1+odqzpJXKfgq1znSKa6B0a/PoxyjuVpDvcoxl2MfNyHmAXNRMAY0gQOdMuRRwmkU3ERcZZTW4Zwg3+DLBHF7fi3P2w9JwRUK27y1L+X4KgIkCxElj+TcjQFBsHwB85HN9xPAgs7wjp1PCacE3twYEEzuuMRH7OP6owRuMq/Rd5tDeB43sgxjQBd491NunKR+ESz/6Voc88irFyjD3uP4odnFPn6sJ/TS5bSLGFDQ5+ewGkBbXwXyKmcZdQp2BWCPnqjUbgwIDNAZBp3iC5dgXrcTlTGvEllefqA4eknxeZQIA6oJiZmiICT4EWOf2Heq1ayCOkFH0OefVxTToWZBly+pCO2jOHK+jLDXEVJFcJe9r+IM0DKLWK63yGXEiVB3g1uZSVkd+ZimbOItVhF1DXYqz6/BfjuauwhosahQzOz+DZ3Hvgy8klnFGr45agr+jHiD7LWJIuJx61PiXG2fV9GLqoypU+ZOmUtIH9MYHtCVWz/BmCl0EAhqlLrR43ErMFF1SpLF0CmuCi5NueEisk6Zd2H+9EUd1XN6h/B1659AzNVBi4AOpcETbu/gqhlfRYAyFkcMva+CREydgrPZ03ANz/jqCxKDRo5raCTNen/lU9yqdcTx9rgnFsspdKFgGnD48TOJvKEUfVWuEet0XAeHdmJcjPSNHbQuzpdrVZmn/sn09k9ItPtrv9m9PoX/7o/XH/Lwzv1//a6e3DHrvhVpijr7ZhTsYXci8584EW16e4t661BaA9DGrY4wAo2JtfpgiYU3nG2Q61Rr/9pvAdmOP4e9hv9uv/whD+/cz/uuxr2G2u8J7M7Hiz4d/8trKympirr8mdMpQz0BZS+vB9aGUkowIYTar3BQu0u3V8ff92/Bvvsff90h22/Y/nSf5d+7+YvuduWwFyXs9fjgL8Vu7373/gyu8ne8krjI1umGFzqW1fXo1827n1LFbEAAxIIWGZLFU9RFQC2Uq2HOQ89VG/mzgBgYxpvuK+LkFVIuYrVBMpQW/0Sw6fq4Uc8OsrK6i/OsXMbMEwCxIPEzKe/0dcU5izEQCAAAAADfAtp/LGtKtTEm7FgodZnLXu9sN3GfEHId1cTt0Lzvn7p0auDRXHuFdvsnbvf677DxWFDdqrQaF6nFtXA5xoCtjxJa2D1uFWqxC/gTzVxKeMODlU5QI5T7gKVPciW4zbZhz8BKRyvStU+bU10hZY9fxs2ofUs0Ry/puvLPIO0ye0MpKWyUHupC04YXbpdCucFOKzb2Hv6h7CXUmHhS8FYTaiolXfl/J1FL/pBio4bh+BDQRqGNcpJCaiSeKaVs/XgTwnW14R0vB51CpFo6kaH2ggRL5Izlue0aFcnClMhPUCZLFWoCEB0qdDukaurOwAs9LTbBzoDWkjdSuYohI9xJWNVbKR7Wvn1/rAWmmKFBp3RIDA2PdBZ8ueVabQorLzsBebayGPQTDEIFXXTlKCD2DAL1C6GrrcRGbu3RW+UyHv4q4KP0gyBVyZ1OcaZhOH8s1f+FfWYIU5lJKFN8GMgy5XYY2wpEL1N7E5P9M2BhzsAVHSz6TFlJwWwzqhKrG4uvycJ+K/Kq9DqFtBs5JIWJfAl0nXdY18eaHbxUY42+FirUpcaN5K8qdX6JO4PhuKl8aUYv/S4SLZ1HZTKnEfNKVcPhOzMUVCX+DKxO8X4KrdU4HYL8r2IhrvOOxJSp84CcfR/kQ4tNKJeT1JWFs0LbOMtqruFN/uJdrnvRr35Oq5bK/iB8d/h9ieqTh2+aYryEBavDPmzfgLxCo6Rsx8aMeaaagKeJW4TaP/YFYWtv55yfEvih7EpnfuqtHM6gt9YngCTiJt00bcsqtOa1MWwzphM6dKYHcK3WrftpzzTIAXwvyLIczK+1vkOaI7f+4MkLcRO4QmLcXbGzb8Y6FOE+wZK0a2UWTyUapsoH8mhJUUkpRIZUimSri60c3Czr+58+fOeP2TPErMx+4YRg8j9oEH/MhxjTBkNZMONDDR8F0WKEc1fsjbSfFOiJ60dtX62tM0vHON+dQcgaMOOtj3dkx8NfOh15AmPNKrX+2ChSvwiM845vZJfn9hKshGJa5/YyB3sgkpVYyw7nOM9x4sIrVPfYcHVY9nkHDLU617pFpXN8OncG2J9ByIF4k61dEfwfa0Zr3NvD5+f6J/szPKyU/wKCqufT9KxUSLmiYt8Oq69csbAIEjYMELnxJcsWafeadNy+2spwMaZmfgACLcdUkDuDTdaGfaTN6zBHbzh8denw3WQ1NHpjvwlK7ePucE+8w77KAzqz9hP8zu1O+6HAx31g2E/AuLd73KmQN/dx71uhILvqJOqO/pKYU5am7pkAgIu4xmqpvH+5JeCXo3nKO+vG/Dp/FggKNWJt47wObR8xgwtMp8t88E/dINf41tfwBbEPEA7clqjxzq4Raah0EfALyRlfDUaHrnjI0ZCfRII/CmGvkh9WydKva1EEfD00173WLvlpf2JXDzi5lxrlm/HRGjBcHmwHIAF/8dvQv7p2EOrFfiHEe9qiqflpUovDGJHWaHZTo8tYMdZfOU8PuMAbyTE21VpqjF1KMqFT70wvj9cxI/JQyQRAM972X+Tw/4S44l8fo432qrnHQNtPaSfKjrTM/SS4FeXr7ysV+qkQtqvxWnRVpa3LwZqukELIbkEbIXYCYG+bZVjwQPP1sAwEWblfdCOwi87XFgbGSLXJ+Nf0aASukL+XvZIGlWaRFKUqWd1Wa8EzXrdD1w7SSdnWtZWWNrdS4avYF0nP7W82vOqsqPWvL75r6ieoYfI2XuVr6dpjbSTrwWP5Ci4aF/yuU95q4YreO+FNS8LS1M3z6qu1laRODNOkXJWS0x9+9QdiXWB7B4lxczVwda7wp1+xW1lyZSXFVaKN+wL+HU5SBlGyAY14sjrFy4ur1sncg0wbp3NYmrHG/mEotXanQT6R/cf+B7aLlpwVC24lnqRCnMFqUN8CwjajTqGDjIzqgxQb4TwUbCUFJ80aCWsPMsm5/UcrKV7D4Fqut8x4AXGF1oGffN1K66R8iZhM8+n/bfTxbz/dpad3fgqtS1e2b+Xl2W6RWvlewVZX/JcuDk1LLTL3K45CKD9H01mfsHXqiS6qFnzZ78OHnzLanVXmJ567ecuuqot461OrcZ1R6rJhzxJZb4X4CjrDN8z9zKUa4qFQYD1W6AHfA2ytxiApbpK/j30G69Mqv2DC8O+aW1HBhOjWrTLTS9fNsJUrgmmLuNcvndz8wikND8bFR5MwNA6e0yJzjupKeklxE5i9Tmn9PN1kJZGrQ16695yXm9u3MoS2gnnvhLYCemD+cki+cy8oJm/u+1DKTMaa4/efrlW8HrwVU7oUXNLr/slNDLEQuT09NfPHAKYuBrgRRyFxh6KulfE9+LfC9DNFGcvN4OGOGB5r8Srgh2OKfn+6De7iLl0CfAVggIHggFABwDWuPyXwHAE/AhDUR2Gx+H9j+0Fg3VWuBQAAAABJRU5ErkJggg==)
Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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)
Velocity-time
graph for a moving object is shown in the figure. Total displacement of the object during the time interval when there is non-zero acceleration and retardation is
![](data:image/png;base64,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The value of k such that
lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.
The value of k such that
lies in the plane 2x-4y+z+7=0 is
So here we used the concept of three dimensional geometry to understand and solve the question. Any point's position or coordinates in 3D space are determined by how far they have travelled along the x, y, and z axes, respectively. So here the value of k is 7.