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The position of a weight attached to a spring is s(t) = - 4 cos 4xt inches after t seconds. C a) What is the maximum height that the weight rises above the equilibrium position? in. b) What are the frequency and period? The frequency of the oscillation is (Type an integer or a fraction. Type an exact answer, using t as needed.) cycles per sec. The period of the oscillation is sec. (Type an integer or a fraction. Type an exact answer, using t as needed.)

The position of a weight attached to a spring is s(t) = - 4 cos 4xt inches after t seconds. C a) What is the maximum height that the weight rises above the equilibrium position? in. b) What are the frequency and period? The frequency of the oscillation is (Type an integer or a fraction. Type an exact answer, using t as needed.) cycles per sec. The period of the oscillation is sec. (Type an integer or a fraction. Type an exact answer, using t as needed.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 68E
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The position of a weight attached to a spring is s(t) = - 4 cos 4rt inches after t seconds. C a) What is the maximum height that the weight rises above the equilibrium position? in. b) What are the frequency and period? The frequency of the oscillation is cycles per sec. (Type an integer or a fraction. Type an exact answer, using t as needed.) The period of the oscillation is sec. (Type an integer or a fraction. Type an exact answer, using t as needed.) c) When does the weight first reach its maximum height? after sec (Type an integer or a fraction. Type an exact answer, using t as needed.) d) Calculate and interpret s(1.3). s(1.3) = (Round to the nearest integer as needed.) Interpret s(1.3). Choose the correct answer below. 1 O A. After 1.3 sec, the weight is about in. above the equilibrium position. 4 B. After 1.3 sec, the weight is about 3 in. above the equilibrium position. C. After 3 sec, the weight is about 1.3 in. above the equilibrium position.
Transcribed Image Text:The position of a weight attached to a spring is s(t) = - 4 cos 4rt inches after t seconds. C a) What is the maximum height that the weight rises above the equilibrium position? in. b) What are the frequency and period? The frequency of the oscillation is cycles per sec. (Type an integer or a fraction. Type an exact answer, using t as needed.) The period of the oscillation is sec. (Type an integer or a fraction. Type an exact answer, using t as needed.) c) When does the weight first reach its maximum height? after sec (Type an integer or a fraction. Type an exact answer, using t as needed.) d) Calculate and interpret s(1.3). s(1.3) = (Round to the nearest integer as needed.) Interpret s(1.3). Choose the correct answer below. 1 O A. After 1.3 sec, the weight is about in. above the equilibrium position. 4 B. After 1.3 sec, the weight is about 3 in. above the equilibrium position. C. After 3 sec, the weight is about 1.3 in. above the equilibrium position.
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