The velocity $v$ of a particle moving along $x$-axis varies with its position $(x)$ as $v=\alpha \sqrt{x}$; where $\alpha$ is a constant. Which of the following graph represents the variation of its acceleration (a) with time $(t)$ ?
A particle starts with an initial velocity of $10.0\,ms ^{-1}$ along $x$-direction and accelerates uniformly at the rate of $2.0\,ms ^{-2}$. The time taken by the particle to reach the velocity of $60.0\,ms ^{-1}$ is $.......\,s$
If a car at rest accelerates uniformly to a speed of $144 \,km/h$ in $20 \,s$. Then it covers a distance of........$m$