A body of mass m (kg) is falling vertically under gravity g m/s^2 in a medium whose resistance to the speed of the body, v m/s, is proportional to v^n (n positive).
If the body was released from rest and has terminal velocity, v^ m/s, use Newton's 2nd law of motion to show that its acceleration, a m/s^2, may be expressed as
a = g(1-(v/v^t)^n)
I would obviously like to attempt to solve this problem, but am unsure what the first step should be. Perhaps the resistive force will need to be deducted from the velocity... many thanks to anybody who looks.