QJEEAdv78Ph611b: JEE Advanced 1978 Physics - Class 11 JEEAdv78Ph611b Solution: A car accelerates from rest at a constant rate for some time…

A car accelerates from rest at a constant rate $\alpha$ for some time after which it decelerates at a constant rate $\beta$ to come to rest. If the total time lapse is t seconds, evaluate.

(i) maximum velocity reached, and

(ii) the total distance travelled.