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  4. A rocket is moving in a gravity free space with a constant acceleration of 2 ms -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 ms -1 relative to the rocket. At the same time, another ball is thrown in - x direction with a speed of 0.2 ms -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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Q. A rocket is moving in a gravity free space with a constant acceleration of $2 \,ms ^{-2}$ 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 $0.3\, ms ^{-1}$ relative to the rocket. At the same time, another ball is thrown in $- x$ direction with a speed of $0.2\, ms ^{-1}$ from its right end relative to the rocket. The time in seconds when the two balls hit each other isPhysics Question Image

JEE AdvancedJEE Advanced 2014

Solution:

Maximum displacement of the left ball from the left wall of the chamber is $2.25 \,cm$, so the right ball has to travel almost the whole length of the chamber $(4 \,m )$ to hit the left ball. So the time taken by the right ball is $1.9\, sec$ (approximately $2 \,sec$ )