A skydiver weighs 125 pounds, 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. a) Write the initial value problem that is associated with this scenario. 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?

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.