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  4. Acceleration-time graph of a body is shown below. <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/cf205bff94bc2c99664f6461f539e3a3-.jpeg /> The corresponding velocity-time graph of the same body is

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Q. Acceleration-time graph of a body is shown below.
image
The corresponding velocity-time graph of the same body is

UPSEEUPSEE 2014

Solution:

Acceleration,
$a=\frac{d v}{d t}$
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.,$0=\frac{d v}{d t}$
$\Rightarrow v=$ constant
Thus, we can draw velocity-time graph as
image