A model for the startup of a runner in a short race results in the velocity function
Question:
A model for the startup of a runner in a short race results in the velocity function v(t) = a(1 - e-t/c), where a and c are positive constants and v has units of m/s.
a. Graph the velocity function for a = 12 and c = 2. What is the runner’s maximum velocity?
b. Using the velocity in part (a) and assuming s(0) = 0, find the position function s(t), for t ≥ 0.
c. Graph the position function and estimate the time required to run 100 m.
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Step by Step Answer:
a The runners velocity approaches but does not attain 12 ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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