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

Answer

D