The velocity (in mi/hr) of an airplane flying into a headwind is given by v(t) = 30(16

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The velocity (in mi/hr) of an airplane flying into a headwind is given by v(t) = 30(16 - t2), for 0 ≤ t ≤ 3. Assume that s(0) = 0 and t is measured in hours.

a. Determine and graph the position function, for 0 ≤ t ≤ 3.

b. How far does the airplane travel in the first 2 hr?

c. How far has the airplane traveled at the instant its velocity reaches 400 mi/hr?

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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