A particle is moving in a straight line such that its velocity is increasing at $5\,ms ^{-1}$ per meter. The acceleration of the particle is $ms ^{-2}$ at a point where its velocity is $20\,ms ^{-1}$.
$100$
$101$
$99$
$103$
If the velocity of a body related to displacement ${x}$ is given by $v=\sqrt{5000+24 {x}} \;{m} / {s}$, then the acceleration of the body is $\ldots \ldots {m} / {s}^{2}$
A car moving along a straight highway with speed of $126 \;\mathrm{km} h^{-1}$ is brought to a stop within a distance of $200\; \mathrm{m}$. What is the retardation of the car (assumed uniform in $m/s^2$) ?