A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during the first 200 sec of fligh is provided by solid rocket boosters at different points during liftoff. The graph shows the acceleration in G-forces (that is acceleration in 9.8-m/sec2 increments) versus time after launch. a. Approximate the interval(s) over which the acceleration is increasing. b. Approximate the interval(s) over which the acceleration is decreasing. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model acceleration versus time? Would the leading coefficient be positive or negative? e. Approximate the time when the acceleration was the greatest. f. Approximate the value of the maximum acceleration. Acceleration in G-Forces vs. Time after Liftoff {(184, 2.85), 2.5 2H(12, 1.36)| 1.5 0.5 |(68,0.97)| 40 80 120 160 200 Elapsed Time (sec) Acceleration (G-Forces)
A rocket will carry a communications satellite into low Earth orbit. Suppose that the thrust during the first 200 sec of fligh is provided by solid rocket boosters at different points during liftoff. The graph shows the acceleration in G-forces (that is acceleration in 9.8-m/sec2 increments) versus time after launch. a. Approximate the interval(s) over which the acceleration is increasing. b. Approximate the interval(s) over which the acceleration is decreasing. c. How many turning points does the graph show? d. Based on the number of turning points, what is the minimum degree of a polynomial function that could be used to model acceleration versus time? Would the leading coefficient be positive or negative? e. Approximate the time when the acceleration was the greatest. f. Approximate the value of the maximum acceleration. Acceleration in G-Forces vs. Time after Liftoff {(184, 2.85), 2.5 2H(12, 1.36)| 1.5 0.5 |(68,0.97)| 40 80 120 160 200 Elapsed Time (sec) Acceleration (G-Forces)
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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