The displacement-time graph of a moving particle with constant acceleration is shown in. The velocit-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 increases in negative direction, hece, velocity increases in negative derction. At point `1`, slope changes suddenly from negative to positive value, hence, velocity changes suddenly from negative to positive and then velocity starts decreasing and becomes zero at `2`. Option `a` represents all these clearly.