The particle moves in a straight line with acceleration a = KTV ^ 2, where k is a constant and the initial velocity is V0, then the function of particle velocity V and time t is?

The particle moves in a straight line with acceleration a = KTV ^ 2, where k is a constant and the initial velocity is V0, then the function of particle velocity V and time t is?

V(t)=1/((1/V0)-0.5kt^2)
The above answer can be obtained by listing the differential equation DV / dt = a