Question

The engine of a motorcycle can produce a maximum acceleration 5m/sec2 . Its brakes can produce a maximum retardation 10m/sec2. What is the minimum time in which it can cover a distance of 1.5km

Answer 1

Explanation:

let "s" = 1500 metres.....

max. acc. = 5 m/sec^2....

u = 0 m/sec....

t=?..

$s = ut + \frac{1}{2} g {t}^{2} \\ \\ 1500 = (0)t + \frac{1}{2} (5) {t}^{2} \\ \\ 1500 = \frac{5}{2} {t}^{2} \\ \\ 3000 = 5 {t}^{2} \\ \\ 600 = {t}^{2} \\ \\ t = 24 .5 \: seconds$

hope it helps......✌✌