(f) Determine the total distance traveled between t= 0 and t= 0.56 s. cm

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter12: Oscillatory Motion
Section: Chapter Questions
Problem 9P
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part F
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.40 cm, and the frequency is
2.70 Hz.
(a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your
answer.)
x = 3.4 sin (5.4nt)
(b) Determine the maximum speed of the particle.
16.96 X
Your response differs from the correct answer by more than 10 %. Double check your calculations. cm/s
(c) Determine the earliest time (t > 0) at which the particle has this speed
0.185
✔S
(d) Find the maximum positive acceleration of the particle.
777.05 X
Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s²
(e) Find the earliest time (t > 0) at which the particle has this acceleration.
0.277
(f) Determine the total distance traveled between t = 0 and t = 0.56 s.
cm
Transcribed Image Text:A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 and moves to the right. The amplitude of its motion is 3.40 cm, and the frequency is 2.70 Hz. (a) Find an expression for the position of the particle as a function of time. (Use the following as necessary: t. Assume that x is in centimeters and t is in seconds. Do not include units in your answer.) x = 3.4 sin (5.4nt) (b) Determine the maximum speed of the particle. 16.96 X Your response differs from the correct answer by more than 10 %. Double check your calculations. cm/s (c) Determine the earliest time (t > 0) at which the particle has this speed 0.185 ✔S (d) Find the maximum positive acceleration of the particle. 777.05 X Your response differs from the correct answer by more than 10%. Double check your calculations. cm/s² (e) Find the earliest time (t > 0) at which the particle has this acceleration. 0.277 (f) Determine the total distance traveled between t = 0 and t = 0.56 s. cm
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