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A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 0s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77|v| when the parachute is losed and 10 |v| when the parachute is open, where the velocity v is measured in ft/s. Jse g = 32 ft/s². Round your answers to two decimal places. a) Find the speed of the skydiver when the parachute opens. -(10) = i ft/s b) Find the distance fallen before the parachute opens. =(10) = i c) What is the limiting velocity v after the parachute opens? L ft i ft/s

A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 0s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77|v| when the parachute is losed and 10 |v| when the parachute is open, where the velocity v is measured in ft/s. Jse g = 32 ft/s². Round your answers to two decimal places. a) Find the speed of the skydiver when the parachute opens. -(10) = i ft/s b) Find the distance fallen before the parachute opens. =(10) = i c) What is the limiting velocity v after the parachute opens? L ft i ft/s

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 |v| when the parachute is closed and 10|v| when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(10) = i (b) Find the distance fallen before the parachute opens. x(10) = i VL (c) What is the limiting velocity v after the parachute opens? = ft/s i ft ft/s
Transcribed Image Text:A skydiver weighing 292 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 10s of free fall. Assume that the force of air resistance, which is directed opposite to the velocity, is 0.77 |v| when the parachute is closed and 10|v| when the parachute is open, where the velocity v is measured in ft/s. Use g = 32 ft/s². Round your answers to two decimal places. (a) Find the speed of the skydiver when the parachute opens. v(10) = i (b) Find the distance fallen before the parachute opens. x(10) = i VL (c) What is the limiting velocity v after the parachute opens? = ft/s i ft ft/s
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