Question

A particle is moving in a straight line at $t=0$, $x=0$, velocity is $9$ $m{s}^{-1}$. If graph shows the variation of acceleration $\left(a\right)$ with time $\left(t\right)$ of a moving particle then:

• A. Its velocity can become zero
• B. Its velocity can never become zero
• C. Minimum velocity possible is $5$ $m{s}^{-1}$
• D. Minimum velocity possible is $6$ $m{s}^{-1}$

Answer 1

The correct option is A Its velocity can become zero

Acceleration is the rate of change of velocity with respect to time.

Now as per the graph provided we observe that at $t=2$ seconds acceleration is $0$, which indicates that change of velocity must be zero at that instant. Now if we consider that initially if the body is at rest, and to get an acceleration of $0m/s^2$, final velocity must be also $0$ m/s, which indicates that at $t=2$ seconds the body is at rest.

Thus the bodies velocity can become zero.