A skydiver with mass m experiences a constant downward gravitational force Fg=mgwhere g is the magnitude of the acceleration due to gravity. They also experience an upward drag force proportional to their velocity, Fd=cv, where c is a constant with c>0.

(a) Give the netdownwardforce in terms of m, g, c, and v.

Fnet=mdvdt=

(b) Your answer above now gives adifferentialequation modelling the velocity of a skydiver. Rearrange this differential equation into the form dvdt=A(vB). What are A and B in terms of m, g, and c?

A=

(c) The skydiver reachesterminal velocity, vt, when the gravitational and drag forces balance out resulting in a constant velocity. We can determine this terminal velocity from the differential equation by solving for v when dvdt=0.

Solve for the terminal velocity in terms of m, g, and c.

vt=