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:
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:
- [IIT 2014]
- A
$2$
- B
$3$
- C
$4$
- D
$5$
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