Question

Acceleration-time graph of a body is shown below.

The corresponding velocity-time graph of the same body is

• A.
• B.
• C.
• D.

Answer 1

Answer: (C)

Acceleration,
$a=\frac{dv}{dt}$
where, $v$ is velocity.
In the given graph, acceleration is constant for first part of motion. So, velocity increases uniformly.
when, $a=0$
i.e.,$0=\frac{dv}{dt}$
$\Rightarrow v=$ constant
Thus, we can draw velocity-time graph as