A car accelerates from rest at a constant rate `alpha` for sometime after which it decelerates at a constant rate `beta` to come to rest.If the total time lapsed it t seconds,find (i) the maximum velocity reached and (ii) 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

C