The velocity of an object that falls freely due to the earth gravity can be modeled by

Question:

The velocity of an object that falls freely due to the earth gravity can be modeled by the equation:
m dv/dt = –mg + kv2
where m is the mass of the object, g = 9.81 m/s2, is and k is a constant. Solve the equation for v for the case m = 5 kg, k = 0.05 kg/m, 0 < t < 15 s and v(0) = 0 m/s. Make a plot of vas a function of time.