First slide

Graphical representation-Motion in 1 d

Question

The velocity time graph of the two particles A & B are shown in fig. The ratio of acceleration of the two particles at any instant is

Easy

A

1:3
B

3:1
C

$\sqrt{3} : 1$
D

$1 : \sqrt{3}$

Solution

In V-t graph the slope of curve is equal to acceleration. i.e slope $= \tan θ = a$
$∴ \frac{a_{A}}{a_{B}} = \frac{T a n 30^{o}}{T a n 60^{o}} = \frac{(\frac{1}{\sqrt{3}})}{\sqrt{3}} = \frac{1}{3}$

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