A rocket is moving in a gravity free space with a constant acceleration of \(2 ms^{-2}\) along \...

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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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