1. The problem statement, all variables and given/known data The velocity v(t) of a skydiver falling to the ground is governed by m(dv/dt)=mg-kv2, where m is the skydiver's mass, g is the acceleration due to gravity, k > 0 is the drag coefficient, and v(t)≥0. (a) Solve this equation for v(t) with the initial condition v(0). 2. Relevant equations 3. The attempt at a solution Divide m throughout ==> dv/dt = g - (k/m)v2 Factor out a k/m dv/dt = k/m (mg/k - v2) Separate dv / (mg/k - v2) = (k/m)dt Now I have it in the form ∫ dx/(a2-x2) = (1/2a)ln[(a+x)/(a-x)], with a = √(mg/k) and x=v, obviously. ==> [1/√(mg/k)] ln[ (√(mg/k) + v) / (√(mg/k) - v)] = (k/m)t + C .............. and this all seems far too complicated. Suggestions, please.