A sky-diver (mass = m = 80 kg) jumps out of a ballon
( initial velocity = v0 = 0 , initial location y=0).
As she falls
air resistance exerts a force on her which increases quadratically
according to :
Fair = k * v2
k = 0.25 N / (m/s)2
- Starting with a clean free-body diagram develop an equation for the
sky-diver's velocity as function of distance fallen. Observe that the
integrand of the integral to be solved has a numerator which is
the derivative of denominator.
- For the given data determine the velocity after the sky-diver
has fallen 300 m and 3000 m.