Relation between velocity and displacement is $v = x^2$. Find acceleration at $x = 3m$ :- ............. $\mathrm{m/s}^{2}$
$6$
$27$
$54$
$0$
The velocity $(v)-$ time $(t)$ plot of the motion of a body is shown below:
(image)
The acceleration $(a)-$ time $(t)$ graph that best suits this motion is :
A scooter accelerates from rest for time $t_{1}$ at constant rate $a _{1}$ and then retards at constant rate $a _{2}$ for time $t _{2}$ and comes to rest. The correct value of $\frac{t_{1}}{t_{2}}$ will be ..... .
A car accelerates from rest at a constant rate $\alpha $ for some time, after which it decelerates at a constant rate $\beta $ and comes to rest. If the total time elapsed is $t$, then the maximum velocity acquired by the car is
The velocity-time and acceleration-time graphs of a particle are given as Its position-time graph may be gvien as
If magnitude of average speed and average velocity over an interval of time are same, then