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 elapsed is t seconds. Then evalute (a) the maximum velocity reached and (b) the total distance travelled.

Options

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