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JEE Main Physics question

PhysicsMotion in a PlaneJEE Main

A train is moving along a straight line with a constant acceleration . A boy standing in the train throws a ball forward with a speed of m/s, at an angle of to the horizontal. The boy has to move forward by m inside the train to catch the ball back at the initial height. Find the acceleration of the train (in m/s²). [IIT JEE 2011]

Answer: 5

Solution

In the train's (non-inertial) frame, the ball undergoes projectile motion with an extra backward pseudo-acceleration (opposing the train's forward acceleration). Time of flight (using ):

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Question ID VK-158376