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

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A rocket is moving in a gravity free space with a constant acceleration of \( 2 \mathrm{~ms}^{-2} \) along \( +x \) direction (see figure). The length of a chamber inside the rocket is \( 4 \mathrm{~m} \). A ball is thrown from the left end of the chamber in \( +\mathrm{x} \) direction with a speed of \( 0.3 \mathrm{~ms}^{-1} \) relative to the rocket. At the same time, another ball is thrown in \( -\mathrm{x} \) direction with a speed of \( 0.2 \mathrm{~ms}^{-1} \) from its right end relative to the rocket. The time in seconds when the two balls hit each other is
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