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. `(ab)/((a+b))t`
B. `(ab)/((a-b))t`
C. `(at^2)/((a+b))`
D. `(tb^2)/((a+b))`

Answer

B

Explanation

if the car accelerates for time `t_1`, then `at_1=b (t-t_1)`