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 VT is the terminal velocity of the skydiver. a. Evaluate v(0) andlim 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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Related Book For  book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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