A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = - 5n sin at for t20. Assume that the positive direction is upward and s(0) = 5. a. Determine the position function for t2 0. b. Graph the position function on the interval [0,3]. c. At what times does the mass reach its lowest point the first three times? d. At what times does the mass reach its highest point the first three times? ..... a. Determine the position function for t20. s(t) = 5 cos at b. Graph the position function on the interval [0,3]. Choose the correct graph below. O A. C. OD. As 6- As 6- As As 6- 6- -6- -6- c. At what times does the mass reach its lowest point the first three times? (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = - 5x sin t for t2 0. ASsume that the positive direction is upward and s(0) = 5.
a. Determine the position function for t2 0.
b. Graph the position function on the interval [0,3].
c. At what times does the mass reach its lowest point the first three times?
d. At what times does the mass reach its highest point the first three times?
... ..
a. Determine the position function for t> 0.
s(t) = 5 cos at
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b. Graph the position function on the interval [0,3]. Choose the correct graph below.
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As
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c. At what times does the mass reach its lowest point the first three times?
(Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
Transcribed Image Text:A mass hanging from a spring is set in motion and its ensuing velocity is given by v(t) = - 5x sin t for t2 0. ASsume that the positive direction is upward and s(0) = 5. a. Determine the position function for t2 0. b. Graph the position function on the interval [0,3]. c. At what times does the mass reach its lowest point the first three times? d. At what times does the mass reach its highest point the first three times? ... .. a. Determine the position function for t> 0. s(t) = 5 cos at %3D b. Graph the position function on the interval [0,3]. Choose the correct graph below. O A. В. C. O D. As 6- As 6- is 6- 6. www -6- -6- -6- -6- c. At what times does the mass reach its lowest point the first three times? (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
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