The velocity $v$ of a particle as a function of its position $(x)$ is expressed as $v=\sqrt{c_1-c_2 x}$, where $c_1$ and $c_2$ are positive constants. The acceleration of the particle is
$c_2$
$-\frac{c_2}{2}$
$c_1-c_2$
$\frac{c_1+c_2}{2}$
For a moving body at any instant of time
Draw $x \to t$ graph for negative acceleration.
If $x \propto {t^{5/2}}$ , then
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 acceleration time graph of a particle moving along a straight line is shown. At what time particle acquires its initial velocity........$s$