Question

Displacement x versus $t^2$ graph is shown for a particle. The acceleration of the particle is :

• A. $2\,m/s^2$
• B. $4\,m/s^2$
• C. $8\,m/s^2$
• D. zero

Answer 1

Answer: (B)

$4\,m/s^2$

Answer 2

From graph,
x = Slope $\left(t^{2}\right)$
$x =\frac{2-0}{1-0}\left(t^{2}\right)$
$x =2 t^{2}$
$\frac{d x}{d t} =4 t$
$\frac{d^{2} x}{d t^{2}} =4$
$a =4 \,m / s ^{2}$
$[\because \frac{d^{2} X}{d t^{2}}=a]$