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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 1.70 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.) b) Determine the maximum speed of the particle. c) Determine the earliest time (t > 0) at which the particle has this speed

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 1.70 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.) b) Determine the maximum speed of the particle. c) Determine the earliest time (t > 0) at which the particle has this speed

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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 1.70 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.)

b) Determine the maximum speed of the particle.

c) Determine the earliest time (t > 0) at which the particle has this speed

d)  Find the maximum positive acceleration of the particle.

e)  Find the earliest time (t > 0) at which the particle has this acceleration.

f) Determine the total distance traveled between t = 0 and t = 0.88 s.

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 1.70 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.) 3.4 sin (3.4rt) X = (b) Determine the maximum speed of the particle. 36.3168 cm/s (c) Determine the earliest time (t > 0) at which the particle has this speed .2941118 (d) Find the maximum positive acceleration of the particle. .2 387.915 cm/s? (e) Find the earliest time (t > 0) at which the particle has this acceleration. .441176 S (f) Determine the total distance traveled between t = 0 and t = 0.88 s. Your response differs from the correct answer by more than 10%. Double check your calculations. 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 1.70 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.) 3.4 sin (3.4rt) X = (b) Determine the maximum speed of the particle. 36.3168 cm/s (c) Determine the earliest time (t > 0) at which the particle has this speed .2941118 (d) Find the maximum positive acceleration of the particle. .2 387.915 cm/s? (e) Find the earliest time (t > 0) at which the particle has this acceleration. .441176 S (f) Determine the total distance traveled between t = 0 and t = 0.88 s. Your response differs from the correct answer by more than 10%. Double check your calculations. cm
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