(c) When does the mass pass through the equilibrium position (the position when the system is at rest) for the first time? (Round your answer to two decimal places.) t= 1.25 X S (d) How far from its equilibrlum position does the mass travel? (Round your answer to two decimal places.) s = 2.82 X cm (e) When is the speed greatest? (Use n, a positive integer.) O 1.25 + nn O 1.25 + 2nn O 2.82 + nn O 2.82 + 2nn O 4.07 + 3nn

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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I did the first part of the problem but I can't figure it out from c) - e)

(c) When does the mass pass through the equilibrium position (the position when the system is at rest) for the first time? (Round your answer to two decimal places.)
t =
1.25
X S
(d) How far from its equilibrium position does the mass travel? (Round your answer to two decimal places.)
S = 2.82
X cm
(e) When is the speed greatest? (Use n, a positive integer.)
1.25 + nt
1.25 + 2ntT
2.82 + NTt
2.82 + 2nT
4.07 + 3nT
Transcribed Image Text:(c) When does the mass pass through the equilibrium position (the position when the system is at rest) for the first time? (Round your answer to two decimal places.) t = 1.25 X S (d) How far from its equilibrium position does the mass travel? (Round your answer to two decimal places.) S = 2.82 X cm (e) When is the speed greatest? (Use n, a positive integer.) 1.25 + nt 1.25 + 2ntT 2.82 + NTt 2.82 + 2nT 4.07 + 3nT
A graphing calculator is recommended.
An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is
s(t) = 2 cos(t) + 6 sin(t), t 2 0, where s is measured in centimeters and t in seconds. (Take the positive direction to be downward.)
(a) Find the velocity and acceleration at time t.
v(t) = -2 sin(t) + 6 cos (t)
a(t) = -2 cos (t) – 6 sin(t)
(b) Graph the velocity and acceleration functions.
y
y
00
6.
6.
a
a
2
Зл
3 7
2л
2
2
2
-2-
-2
y
Transcribed Image Text:A graphing calculator is recommended. An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s(t) = 2 cos(t) + 6 sin(t), t 2 0, where s is measured in centimeters and t in seconds. (Take the positive direction to be downward.) (a) Find the velocity and acceleration at time t. v(t) = -2 sin(t) + 6 cos (t) a(t) = -2 cos (t) – 6 sin(t) (b) Graph the velocity and acceleration functions. y y 00 6. 6. a a 2 Зл 3 7 2л 2 2 2 -2- -2 y
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