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Shown in the figure are the position time graph for two children going home from the school. Which of the following statements about their relative motion is true after both of them started moving? Their relative velocity (consider 1-D motion)

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Important Questions on Kinematics

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Shown in the figure are the velocity time graphs of the two particles P1 and P2. Which of the following statements about their relative motion is true? Their relative velocity (consider 1-D motion)

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Two particles are moving with velocities v1 and v2. Their relative velocity is maximum when the angle between their velocities is
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To cross the river in shortest distance, a swimmer should swim making angle θ with the upstream. What is the ratio of the time taken to swim across in the shortest time to that in swimming across over shortest distance [assume speed of swimmer in still water is greater than the speed of river flow].
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Raindrops are falling vertically with a velocity of 10 ms-1. To a cyclist moving on a straight road the raindrops appear to be coming with a velocity of 20 ms-1. The velocity of cyclist is
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Two identical trains take 3 sec to pass one another when going in the opposite direction but only 2.5 sec if the speed of one is increased by 50% The time one would take to pass the other when going in the same direction at their original speed is:
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For four particles A, B, C and D the velocities of one with respect to the other are given as VDC is 20 m s-1 towards the north, VBC is 20 m s-1 towards the east and VBA is 20 m s-1 towards the south. Then VDA is
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A Person A observes B moving in east direction, with a speed 10 m s-1, B observes C moving in south direction, with a speed 20 m s-1, C observes D moving in west direction, with a speed 30 m s-1 and D  observes a tree, moving with speed 40 m s-1, in the north direction. The actual direction of motion of person A will be
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Three elephants A,B and C are moving along a straight line with constant speed in same direction as shown in figure. Speed of and speed of C is 10 ms-1. Initially separation between A & B is d and between B & C is also d. When B catches C separation between A & C becomes 3d. Then the speed of B will be 

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