A body is at rest at ` x =0 ` . At ` t = 0`, it starts moving in the positive `x - direction` with a constant acceleration . At the same instant another body passes through ` x= 0 ` moving in the positive ` x - direction ` with a constant speed . The position of the first body is given by `x_(1)(t)` after time 't', and that of the second body by ` x_(2)(t)` after the same time interval . which of the following graphs correctly describes `(x_(1) - x_(2))` as a function of time 't' ?

Explanation

As, `x_(1)(t)=(1)/(2)at^(2)` and `x_(2)(t)=vt`
`becausex_(1)-x_(2)=(1)/(2)at^(2)-vt` (parabola)
Clearly, graph (2) represents it correctly.