A rocket is moving in a gravity free space with a constant acceleration of 2ms –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 0.3ms -1 relative to the rocket. At the same time, another ball is thrown in –x direction with a speed of 0.2ms –1 from its right end relative to the rocket. The time in seconds when the two balls hit each other is
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(2)
Sol.
consider motion of two balls with respect to rocket
Maximum distance of ball A from left wall = 
≈ 0.02 m
so collision of two balls will take place very near to left wall
For B S = ut + 
at 2
–4 = –0.2t – 
⇒ t 2 + 0.2t – 4 = 0
⇒ t = 
= 1.9
nearest integer = 2s
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