A car starting from rest, accelerates at a constant rate x for sometime after which it decelerates at a constant rate y to come to rest. If the total time elapsed is t, the maximum velocity attained by the car is given by

Options

A. (a) `(xy)/(x+y)t`
B. (b) `(xy)/(x-y)t`
C. (c) `(x^(2)y^(2))/(x^(2)+y^(2))t`
D. (d) `(x^(2)y^(2))/(x^(2)-y^(2))t`