A skydiver has a downward velocity given by where t = 0 is the instant the skydiver

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A skydiver has a downward velocity given by

1 – e-28t/Vr` Vr 1 + e-2gt/Vr v(1)

where t = 0 is the instant the skydiver starts falling, g ≈ 9.8 m/s² is the acceleration due to gravity, and V_T 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

where s'(t) = v(t) and s(0) = 0.

d. Graph the position function.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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Question Posted: Apr 06, 2019 12:24 PM

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A skydiver has a downward velocity given by where t = 0 is the instant the skydiver

Question:

1 – e-28t/Vr` Vr 1 + e-2gt/Vr v(1) lim v(t)

Step by Step Answer:

a v0 V 0 lim b d we have V c st vt dt V dt V J 11 dt Let u ek 1 and w 1 V du ww 1 ...View the full answer

Calculus Early Transcendentals

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