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

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2.Motion in Straight Line

easy

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

A

$\frac{1}{{\sqrt 3 }}\, m/s$

B

$3 \,m/s$

C

$\sqrt 3 \,m/s$

D

$\frac{1}{3}\,m/s$

Solution

(c) In first instant you will apply $\upsilon = \tan \theta $ and say, $\upsilon = \tan {30^o} = \frac{1}{{\sqrt 3 }}\, m/s.$

But it is wrong because formula $\upsilon = \tan \theta $ is valid when angle is measured with time axis.

Here angle is taken from displacement axis. So angle from time axis $ = {90^o} – {30^o} = {60^o}$

Now $\upsilon = \tan \,{60^o} = \sqrt 3 $

Standard 11

Physics

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(JEE MAIN-2018)