Question

A car accelerates from rest at a constant rate α for some time after which it decelerates at a constant rateβ and comes to rest. if total time elasped is t, then maximum velocity acquired by car will be

Answer 1

The maximum velocity acquired by car:

$$v=\alpha t_1=\beta t_2$$

$$t=t_1+ t_2$$

Thus,

$$t=\frac{v}{\alpha}+\frac{v}{\beta}$$

$$v=\frac{t}{\frac{1}{\alpha}+\frac{1}{\beta}}$$