Question

A graph between the square of the speed of a particle moving along a straight line and the distance $s$ moved is shown in the figure. The acceleration of the particle in $km \, h^{- 2}$ is -

• A. $2250$
• B. $225$
• C. $-2250$
• D. $-225 \, $

Answer 1

Answer: (C)

$\because \, \, v^{2}=u^{2}+2as$
$\Rightarrow $ for $v^{2}-s$ graph slope = 2a
from graph
$v^{2}=\left(- \frac{2700}{0.6}\right)s+3600$
$\because $ Slope $=\frac{2700}{0.6}=2a$
$\Rightarrow \, \, \, a= \, -\frac{27000}{12}=-2250$