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 -

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 - <img class="img-fluid question-image" alt="Question" src="https://cdn.tardigrade.in/q/nta/p-p4e3dnf32k9l.png" /> (A) 2250 (B) 225 (C) -2250 (D) -225

Tardigrade Admin · Accepted Answer

∵ v2=u2+2as ⇒ for v2-s graph slope = 2a from graph v2=(- (2700/0.6))s+3600 ∵ Slope =(2700/0.6)=2a ⇒ a= -(27000/12)=-2250

Q. 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 -

$2250$

$225$

$- 2250$

$- 225$

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

Q. 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 kmh−2 is -

2250

225

−2250

−225