Solve part B please! Show your work!

8. (7 pts) A skydiver weighs 125 pounds (this is NOT mass!), and her parachute and equipment combined weigh another 35 pounds. After exiting from a plane at an altitude of 15,000 feet, she falls for 15 seconds. Assume that the constant of proportionality has the value k = 0.5 during free fall and that g = 32 and assume that her initial velocity on leaving the plane is zero. (Hint: Use the solutions from the Linear Air Resistance model that were given on the handout in Section 3.1.) (a) Write the initial value problem that is associated with this scenario. mx dv M = 125lb = ma - ky 32f = 3. 90625 5 2 (b) What is her velocity and how far has she traveled 15 seconds after leaving the plane? (c) What is her terminal velocity in free fall? ma 3. 90625 x 32 #+ Vterminal 250 ft S 250ft /s 0.5