The displacement-time graph of a moving particle with constant acceleration is shown in. The velocity-time is given by
.

Options

A.
B.
C.
D.

Answer

A

Explanation

At `t = 0`, slope of the `x - t` graph is zero, hence velocity is zero at `t = 0`. As time increases, slope increase in negative direction, hence, velocity increases in negative direction. At point 1, slope change suddenly from negative to positive value: hence, velocity changes suddenly from negative to positive and then velocity starts decreasing and become zero at 2, option (a) represents all these clearly.