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A cart at the end of a spring undergoes simple harmonic motion of amplitude A =...

A cart at the end of a spring undergoes simple harmonic motion of amplitude A = 10 cm and frequency 5.0 Hz. Assume that the cart is at x=−A when t=0.

a. Determine the period of vibration.

b. Write an expression for the cart's position as a function of time.

c. Determine the position of the cart at 0.050 s.

d. Determine the position of the cart at 0.100 s.

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