A car accelerates from rest at a constant rate for some time after which it decelerates at a constant rate `beta` to come to rest. If the total time elapsed is t, the maximum velocity acquired by the car is given by :

Options

A. `((alpha^2-beta^2)/(alphabeta))t`
B. `((alpha^2+beta^2)/(alphabeta))t`
C. `((alpha+beta)t)/(alphabeta)`
D. `(alphabetat)/(alpha+beta)`

Answer

D