The velocity (in mi/hr) of an airplaneflying into a headwind is given by v(t) = 30(16 - t2),for 0 ≤ t ≤ 3. Assume s(0)= 0 and t is measured in hours.a. Determine 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 velocityreaches 400 mi/hr?
The velocity (in mi/hr) of an airplaneflying into a headwind is given by v(t) = 30(16 - t2),for 0 ≤ t ≤ 3. Assume s(0)= 0 and t is measured in hours.a. Determine 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 velocityreaches 400 mi/hr?
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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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 s(0)= 0 and t is measured in hours.
a. Determine 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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