From the following displacement-time graph find out the vel…

Physics Motion in a Straight Line Mix Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

From the following displacement-time graph find out the velocity of a moving body

\(\frac{1}{\sqrt{3}}\) m / s

3 m / s

\(\sqrt{3}\) m / s

\(\frac{1}{3}\)

Text Solution

Verified by Experts

The correct answer is:

In first instant you will apply \(r' = \tan \beta\) and say, \(t' = \tan 30^\circ = \frac{1}{\sqrt{3}}\) m / s .

But it is wrong because formula \(r' = \tan\theta\) is valid when angle is measured with time axis.

Here angle is taken from displacement axis. So angle from time axis = 90^{\circ} - 30^{\circ} = 60^{\circ}

Now \(\mu = \tan 60^\circ = \sqrt{3}\)

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