A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 sec and moves to the right. The amplitude of its motion is A = 2.00 cm, and the frequency is f= 1.50 Hz.

Principles of Physics: A Calculus-Based Text
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Chapter12: Oscillatory Motion
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Problem 15.15
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin,
at t = 0 sec and moves to the right. The amplitude of its motion is A = 2.00 cm, and the frequency is f= 1.50
Hz.
(a) Find an expression for the position of the particle as a function of time.
(b) Determine the maximum speed of the particle and the earliest time (t> 0) at which the particle has
this speed.
(c) Find the maximum positive acceleration of the particle and the earliest time (t> 0) at which the
particle has this acceleration.
(d) Find the total distance traveled by the particle between t= 0 and t = 1.00 s.
Transcribed Image Text:Problem 15.15 A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the origin, at t = 0 sec and moves to the right. The amplitude of its motion is A = 2.00 cm, and the frequency is f= 1.50 Hz. (a) Find an expression for the position of the particle as a function of time. (b) Determine the maximum speed of the particle and the earliest time (t> 0) at which the particle has this speed. (c) Find the maximum positive acceleration of the particle and the earliest time (t> 0) at which the particle has this acceleration. (d) Find the total distance traveled by the particle between t= 0 and t = 1.00 s.
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