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Find a function that models the simple harmonic motion having the given properties. Assume that the displacement is at its maximum at time t = 0. amplitude 50 ft, period 0.5 min

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sqdancefan

Answer:

  y = 50cos(4πt)

Step-by-step explanation:

Since the amplitude is a maximum at t=0, the cosine function is appropriate. Its multiplier is the amplitude of the motion, and its argument will have the value 2π when t = 0.5. The appropriate function is ...

  y = 50cos(4πt) . . . . . y in feet, t in minutes

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