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. Sky Diving A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is pro- portional to her velocity, and the constant of proportionality is 0.2. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 180(1 – e-0) where t is measured in seconds (s) and v(1) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. (b) Find the velocity after 5 s and after 10 s. (c) Draw a graph of the velocity function v(t). (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. v(t) = 180(1 - e1)

. Sky Diving A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is pro- portional to her velocity, and the constant of proportionality is 0.2. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 180(1 – e-0) where t is measured in seconds (s) and v(1) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. (b) Find the velocity after 5 s and after 10 s. (c) Draw a graph of the velocity function v(t). (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. v(t) = 180(1 - e1)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section4.2: The Natural Exponential Function
Problem 25E
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. Sky Diving A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is pro- portional to her velocity, and the constant of proportionality is 0.2. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 180(1 – e-0) where t is measured in seconds (s) and v(1) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. (b) Find the velocity after 5 s and after 10 s. (c) Draw a graph of the velocity function v(t). (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. v(t) = 180(1 - e1)
Transcribed Image Text:. Sky Diving A sky diver jumps from a reasonable height above the ground. The air resistance she experiences is pro- portional to her velocity, and the constant of proportionality is 0.2. It can be shown that the downward velocity of the sky diver at time t is given by v(t) = 180(1 – e-0) where t is measured in seconds (s) and v(1) is measured in feet per second (ft/s). (a) Find the initial velocity of the sky diver. (b) Find the velocity after 5 s and after 10 s. (c) Draw a graph of the velocity function v(t). (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. v(t) = 180(1 - e1)
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