A sky diver jumps from a reasonable 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) = 150(1 - e 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 3 s and after 13 s. (Round your answers to one decimal place.) after 3 s ft/s after 13 s ft/s (c) Draw a graph of the velocity function v(t). v(t) v(t) 200- 200- 150 150 100 100 50 50 t 40 10 20 30 10 20 30 40 v(t) v(t) 200- 200- 150 150 100 100 50 50 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 reasonable 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) = 150(1 - e 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 3 s and after 13 s. (Round your answers to one decimal place.) after 3 s ft/s after 13 s ft/s (c) Draw a graph of the velocity function v(t). v(t) v(t) 200- 200- 150 150 100 100 50 50 t 40 10 20 30 10 20 30 40 v(t) v(t) 200- 200- 150 150 100 100 50 50 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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section: Chapter Questions

Problem 18T

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