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A skydiver weighing 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 11 s 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 12 |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(11) = i ft/s (b) Find the distance fallen before the parachute opens. x(11) = i ft (c) What is the limiting velocity v₁, after the parachute opens? VL = ft/s M

A skydiver weighing 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 11 s 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 12 |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(11) = i ft/s (b) Find the distance fallen before the parachute opens. x(11) = i ft (c) What is the limiting velocity v₁, after the parachute opens? VL = ft/s M

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 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 11 s 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 12 |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(11) = i ft/s (b) Find the distance fallen before the parachute opens. x(11) = i ft (c) What is the limiting velocity v₁ after the parachute opens? VL VL = i ft/s
Transcribed Image Text:A skydiver weighing 299 lbf (including equipment) falls vertically downward from an altitude of 4000 ft and opens the parachute after 11 s 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 12 |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(11) = i ft/s (b) Find the distance fallen before the parachute opens. x(11) = i ft (c) What is the limiting velocity v₁ after the parachute opens? VL VL = i ft/s
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