I want to check the answers of this question especially when does the weight first reach its maximum height??

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter15: Oscillations
Section: Chapter Questions
Problem 38P: The motion of a mass on a spring hung vertically, where the mass oscillates up and down, can also be...
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I want to check the answers of this question especially when does the weight first reach its maximum height??

The positien of a weight attached to a spring is s(t) = - 2 cos 4nt inches after t seconds. Complete parts a)-d) below.
a) What is the maximum height that the weight rises above the equilibrium position?
2 m.
b) What are the frequency and period?
The frequency of the oscillation is 2 cycles per sec.
(Type an integer or a fraction Type an exact answer, using n as needed.)
1
The period of the oscillation is
sec.
(Type an integer or a fraction. Type an exact answer, using n as needed.)
C) When doas 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 intèrpret s(1.2).
s(1.2)= 2 (Round to the nearest integer as needed.)
Interpret s(1.2). Choose the correct answer below.
A. After 1.2 sec, the weight is about
1
in. above the equilibrium position.
4
B. After 2 sec, the weight is about 1.2 in. above the equilibrium position.
C. After 1.2 sec, the weight is about 2 in. above the equilibrium position.
Transcribed Image Text:The positien of a weight attached to a spring is s(t) = - 2 cos 4nt inches after t seconds. Complete parts a)-d) below. a) What is the maximum height that the weight rises above the equilibrium position? 2 m. b) What are the frequency and period? The frequency of the oscillation is 2 cycles per sec. (Type an integer or a fraction Type an exact answer, using n as needed.) 1 The period of the oscillation is sec. (Type an integer or a fraction. Type an exact answer, using n as needed.) C) When doas 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 intèrpret s(1.2). s(1.2)= 2 (Round to the nearest integer as needed.) Interpret s(1.2). Choose the correct answer below. A. After 1.2 sec, the weight is about 1 in. above the equilibrium position. 4 B. After 2 sec, the weight is about 1.2 in. above the equilibrium position. C. After 1.2 sec, the weight is about 2 in. above the equilibrium position.
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