A rocket is moving in a gravity free space with a constant acceleration of `2 m//s^(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 m//s` relative to the rocket . At the same time , another ball is thrown in `+ x` direction with a speed of `0.2 m//s` drom its right end relative to the rocket . The time in seconds when the two balls hit each other is
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2
Consider motion of two balls with respect to rocket Maximum distance of ball A from left wall `u^2/(2a) = (0.3 xx 0.3)/(2xx2) = 0.09/4 ~~ 0.02m` So collision of two balls will take place very near to left wall For `BS = ut + 1/2 at^2` `-4 = -0.2 t - (1/2)2t^2 rArr t^2 + 0.2t - 4 = 0 ` `rArr t = (-0.2+-sqrt(0.04+16))/2 = 1.9` nearest integer = 2s.
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