A particle is moving in a straight line whose acceleration versus time graph is given. Assume that initial velocity is in the direction of acceleration. Then
which of the statement is correct between time `t =0` to `t = t_(0)`.
.

Options

A. Velocity first increases then decreases, displacement always increases
B. Velocity and displacement both, first increases and then decreases
C. Displacement increases and velocity decreases
D. Displacement and velocity both always increases.

Answer

D

Explanation

It is clear from the figure that acceleration does not change sign, i.e. does not change in direction. Only the magnitude of acceleration first increases and then decreases.
`:.` Velocity keeps on increasing Hence displacement also keeps on increasing.