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(B) The body moves with a constant velocity of $20 \ m/s$ between two walls separated by a distance of $5 \ m$.Since the collisions are elastic and th

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Periodic but not simple harmonic

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(B) The body moves with a constant velocity of $20 \ m/s$ between two walls separated by a distance of $5 \ m$.Since the collisions are elastic and there is no friction,the body reverses its direction after every collision without any loss of kinetic energy.The time taken to travel from one wall to the other is $t = \frac{d}{v} = \frac{5 \ m}{20 \ m/s} = 0.25 \ s$.The body returns to its starting position after a total time of $T = 2 	imes 0.25 \ s = 0.5 \ s$.Since the motion repeats itself at regular intervals of $0.5 \ s$,the motion is periodic.However,for simple harmonic motion $(SHM)$,the acceleration must be proportional to the displacement $(a \propto -x)$. In this case,the velocity is constant between collisions,meaning the acceleration is zero except at the moment of impact. Therefore,it is not $SHM$.

$A$ body is moving in a room with a velocity of $20 \ m/s$ perpendicular to the two walls separated by $5 \ m$. There is no friction and the collisions with the walls are elastic. The motion of the body is

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