7. 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. (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. (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?
7. 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. (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. (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?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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