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Q.

A boy is standing on a flatcar that is moving with uniform acceleration on a level track. At the instant when flatcar is moving with velocity 10 m/s due east, the boy throws a ball with velocity 20 m/s in direction 45º  above the east with respect to the flatcar in plane of motion of flatcar. What should be the acceleration of the flatcar so that the boy can catch the ball without moving anywhere on the flatcar? Assume acceleration due to gravity  10 m/s2.

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a

10 m/s2  eastwards 

b

10 m/s2  westwards

c

20 m/s2  eastwards 

d

20 m/s2  westwards

answer is A.

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Detailed Solution

W.r.t. flat car. Velocity of projection makes angle 450  with east. In order to catch the ball without moving trajectory has to be a straight line. So acceleration wrt flat car should be just opposite to projection velocity.
 

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