The initial velocity of a particle is $u$ (at $t = 0$) and the acceleration ${n^{th}}$ is given by $at$. Which of the following relation is valid
$v = u + a{t^2}$
$v = u + a\frac{{{t^2}}}{2}$
$v = u + at$
$v = u$
The relation between time ' $t$ ' and distance ' $x$ ' is $t=$ $\alpha x^2+\beta x$, where $\alpha$ and $\beta$ are constants. The relation between acceleration $(a)$ and velocity $(v)$ is:
A man goes $10\,m $ towards North, then $ 20\,m$ towards east then displacement is........$m$
Position time graph of a particle moving along straight line is shown which is in the form of semicircle starting from $t=2$ to $t=8 \,s$. Select correct statement
A car is moving with speed of $150\,km / h$ and after applying the brake it will move $27\,m$ before it stops. If the same car is moving with a speed of one third the reported speed then it will stop after travelling $....m$ distance.
If the velocity of a particle is given by $v = {(180 - 16x)^{1/2}} m/s$, then its acceleration will be.......$ms^{-2}$