The acceleration-time graph of a body is shown below . The…

Physics Motion in a Straight Line Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

The acceleration-time graph of a body is shown below

The most probable velocity-time graph of the body is

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The correct answer is:

From given a - t graph it is clear that acceleration is increasing at constant rate

$\frac{da}{dt} = -k$ (constant) ⇒ ⇒ a = kt (by integration)

⇒ ⇒ $\frac{dv}{dt} = kt$ ⇒ ⇒ $dv = ktdt$

⇒ ⇒ $\int dv = k \int t dt$ ⇒ ⇒ $v = \frac{k t^{2}}{2}$

i.e. v is dependent on time parabolically and parabola is symmetric about v -axis.

and suddenly acceleration becomes zero. i.e . velocity becomes constant.

Hence is most probable graph.

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