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A sky diver jumps from a height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.17. It can be shown that the downward velocity of the sky diver at time t is given b v(t) = 170(1 - e-0.17t where t is measured in seconds (s) and v(t) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. ft/s (b) Find the velocity after 5 s and after 15 s. (Round your answers to one decimal place.) after 5 s ft/s after 15 s ft/s (c) Draw a graph of the velocity function v(t). vit 200 200 150 150 100 100 s0 s0 10 20 30 40 10 20 30 40 vit 20아 200- 150 150 100 100 50 so 10 20 30 40 10 20 30 40 (d) The maximum velocity of a falling object with wind resistance is called its terminal velocity. From the graph in part (c) find the terminal velocity of this sky diver. (Round your answer to the nearest whole number.) ft/s

A sky diver jumps from a height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.17. It can be shown that the downward velocity of the sky diver at time t is given b v(t) = 170(1 - e-0.17t where t is measured in seconds (s) and v(t) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. ft/s (b) Find the velocity after 5 s and after 15 s. (Round your answers to one decimal place.) after 5 s ft/s after 15 s ft/s (c) Draw a graph of the velocity function v(t). vit 200 200 150 150 100 100 s0 s0 10 20 30 40 10 20 30 40 vit 20아 200- 150 150 100 100 50 so 10 20 30 40 10 20 30 40 (d) The maximum velocity of a falling object with wind resistance is called its terminal velocity. From the graph in part (c) find the terminal velocity of this sky diver. (Round your answer to the nearest whole number.) 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 sky diver jumps from a height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.17. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 170(1 - e-0.17t where t is measured in seconds (s) and v(t) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. ft/s (b) Find the velocity after 5 s and after 15 s. (Round your answers to one decimal place.) after 5 s ft/s after 15 s ft/s (c) Draw a graph of the velocity function v(t). vit 200 200 150 150 100 100 s0 s0 10 20 30 40 10 20 30 40 vit 20아 200- 150 150 100 100 50 so 10 20 30 40 10 20 30 40 (d) The maximum velocity of a falling object with wind resistance is called its terminal velocity. From the graph in part (c) find the terminal velocity of this sky diver. (Round your answer to the nearest whole number.) ft/s
Transcribed Image Text:A sky diver jumps from a height above the ground. The air resistance she experiences is proportional to her velocity, and the constant of proportionality is 0.17. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 170(1 - e-0.17t where t is measured in seconds (s) and v(t) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. ft/s (b) Find the velocity after 5 s and after 15 s. (Round your answers to one decimal place.) after 5 s ft/s after 15 s ft/s (c) Draw a graph of the velocity function v(t). vit 200 200 150 150 100 100 s0 s0 10 20 30 40 10 20 30 40 vit 20아 200- 150 150 100 100 50 so 10 20 30 40 10 20 30 40 (d) The maximum velocity of a falling object with wind resistance is called its terminal velocity. From the graph in part (c) find the terminal velocity of this sky diver. (Round your answer to the nearest whole number.) ft/s
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