Let v(t) be the velocity, in feet per second, of a skydiver at time t seconds, t ≥ 0. After her parachute opens, her velocity satisfies the differential equation dv
dt
= −2(v + 16), with initial condition v(0) =

−50.
(a) Find the particular solution by separation of variables for the velocity in terms of t that satisfies the
initial condition. (HINT: Leave -2 on the right side.) (10 points)
(b) What is the acceleration of the skydiver at t = 0? (5 points)
(c) At t = 0, is the speed of the skydiver increasing or decreasing? Justify your answer. (5 points)
(d) At the time her parachute opens, the skydiver is at an altitude of 4000 feet. What is the altitude of
the skydiver at t = 10 seconds? Use the Nspire to calculate for you. Show the expression you
entered into the calculator for full credit.