Question

A particle starts from rest and undergoes an acceleration as shown in the figure. The $v-t$ graph from the figure will have a shape

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

The acceleration of the body is constant during the first half. Then it changes direction (retardation) and then remains constant.
We know that $a=\frac{dv}{dt}$
This means that when the acceleration is constant, the velocity of the body should increase uniformly and when the acceleration changes its direction then the velocity should decrease uniformly.
Hence, the correct answer is option $A$.