A differential equation governing the velocity v of a falling mass m

to air resistance proportional to the square of the instantaneous velocity is

m dv/dt=mg-kv^2

where k>0 is a constant of proportionality. The positive direction is downward.

(a)Solve the equation subject to initial condition v(0)=v_0.
(b)Determine the limiting velocity.
(c)If the distance s, measured from the point where the mass was released above the ground, is related to velocity by ds/dt=v, find an explicit form of s if s(0)=0.

2 answers

no ideas on these problems? Homework dumps are discouraged.
Still would appreciate someone pointing us in the right direction :/