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. `(2alpha beta)/((alpha + beta))t^(2)`
B. `(alpha beta)/(2(alpha + beta))t^(2)`
C. `(alpha beta)/(4(alpha + beta))t^(2)`
D. `(4 alpha beta )/(( alpha + beta)) t^(2)`