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JEE Advanced2014PhysicsMotion in Two DimensionsActual

A rocket is moving in a gravity free space with a constant acceleration of 2 m s - 2 along + x direction (see figure). The length of a chamber inside the rocket is 4 m. A ball is thrown from the left end of the chamber in + x direction with a speed of 0.3 m s - 1 relative to the rocket. At the same time, another ball is thrown in - x direction with a speed of 0.2 m s - 1 from its right end relative to the rocket. The

Correct answer

2

Step-by-step solution

Consider motion of two balls with respect to rocket. ( u^2 2 a = 0.3 0.3 2 2 = 0.09 4 =0.02 m ) So, collision of two bals will take place very near to left wall. ( aligned & for B S=u t+ 1 2 a t^2 & -4=-0.2 t ( 1 2 ) 2 t^2 t^2+0.2 t & -4=0 & f t= -0.2 0.04+16 2 =1.9 aligned ) nearest integer (=2 ~s )

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