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Skydiving A skydiver has a downward velocity given by v(t) = V, + e209/V, where t = 0 is the instant the skydiver starts falling, g = 9.8 m/s? is the acceleration due to gravity, and V, is the terminal velocity of the skydiver. a. Evaluate v(0) and lim v(t) and interpret these results. b. Graph the velocity function. c. Verify by integration that the position function is given by (1 + e ?#/V; In s(t) = V,1 + - 2 0. where s' (t) = v(t) and s(0) = d. Graph the position function. (See the Guided Project Terminal velocity for more details on free fall and terminal velocity.)

Skydiving A skydiver has a downward velocity given by v(t) = V, + e209/V, where t = 0 is the instant the skydiver starts falling, g = 9.8 m/s? is the acceleration due to gravity, and V, is the terminal velocity of the skydiver. a. Evaluate v(0) and lim v(t) and interpret these results. b. Graph the velocity function. c. Verify by integration that the position function is given by (1 + e ?#/V; In s(t) = V,1 + - 2 0. where s' (t) = v(t) and s(0) = d. Graph the position function. (See the Guided Project Terminal velocity for more details on free fall and terminal velocity.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Skydiving A skydiver has a downward velocity given by v(t) = V, + e209/V, where t = 0 is the instant the skydiver starts falling, g = 9.8 m/s? is the acceleration due to gravity, and V, is the terminal velocity of the skydiver. a. Evaluate v(0) and lim v(t) and interpret these results. b. Graph the velocity function. c. Verify by integration that the position function is given by (1 + e ?#/V; In s(t) = V,1 + - 2 0. where s' (t) = v(t) and s(0) = d. Graph the position function. (See the Guided Project Terminal velocity for more details on free fall and terminal velocity.)
Transcribed Image Text:Skydiving A skydiver has a downward velocity given by v(t) = V, + e209/V, where t = 0 is the instant the skydiver starts falling, g = 9.8 m/s? is the acceleration due to gravity, and V, is the terminal velocity of the skydiver. a. Evaluate v(0) and lim v(t) and interpret these results. b. Graph the velocity function. c. Verify by integration that the position function is given by (1 + e ?#/V; In s(t) = V,1 + - 2 0. where s' (t) = v(t) and s(0) = d. Graph the position function. (See the Guided Project Terminal velocity for more details on free fall and terminal velocity.)
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