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Modeling with periodic functions: simple harmonic motion. One common application of periodic motion is the "mass on a spring" model 2. (View another animation of this phenomenon here). To demonstrate this "simple harmonic motion," a weight is attached to the end of a spring and then stretched a distance beyond its equilibrium (rest) position. When the weight is released at time t = 0, the spring then bounces periodically. Below is a function f that models the location of the weight, above or below its resting position, if (when extended 4 inches beyond its equilibrium) it returns to the starting position every 0.5 seconds: f(t) = – 4cos 0.5 Note: Here we define t as the number of seconds elapsed. Also, locations below the resting position have negative values for f. 3.75 . In other words, find Find the location of the weight at time t = f(3.75). If needed, round any decimals to two decimal places.

Modeling with periodic functions: simple harmonic motion. One common application of periodic motion is the "mass on a spring" model 2. (View another animation of this phenomenon here). To demonstrate this "simple harmonic motion," a weight is attached to the end of a spring and then stretched a distance beyond its equilibrium (rest) position. When the weight is released at time t = 0, the spring then bounces periodically. Below is a function f that models the location of the weight, above or below its resting position, if (when extended 4 inches beyond its equilibrium) it returns to the starting position every 0.5 seconds: f(t) = – 4cos 0.5 Note: Here we define t as the number of seconds elapsed. Also, locations below the resting position have negative values for f. 3.75 . In other words, find Find the location of the weight at time t = f(3.75). If needed, round any decimals to two decimal places.

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Modeling with periodic functions: simple harmonic motion. One common application of periodic motion is the "mass on a spring" modelZ. (View another animation of this phenomenon here). To demonstrate this "simple harmonic motion," a weight is attached to the end of a spring and then stretched a distance beyond its equilibrium (rest) position. When the weight is released at time t = 0, the spring then bounces periodically. Below is a function f that models the location of the weight, above or below its resting position, if (when extended 4 inches beyond its equilibrium) it returns to the starting position every 0.5 seconds: (() f(t) = 4 cos 0.5 Note: Here we define t as the number of seconds elapsed. Also, locations below the resting position have negative values for f. - 3.75 . In other words, find Find the location of the weight at time t f(3.75). If needed, round any decimals to two decimal places. f(3.75) : inches, that the weight is away <-- from its starting position Tip: Be careful with your use of parentheses, iflwhen using a calculator on this question.
Transcribed Image Text:Modeling with periodic functions: simple harmonic motion. One common application of periodic motion is the "mass on a spring" modelZ. (View another animation of this phenomenon here). To demonstrate this "simple harmonic motion," a weight is attached to the end of a spring and then stretched a distance beyond its equilibrium (rest) position. When the weight is released at time t = 0, the spring then bounces periodically. Below is a function f that models the location of the weight, above or below its resting position, if (when extended 4 inches beyond its equilibrium) it returns to the starting position every 0.5 seconds: (() f(t) = 4 cos 0.5 Note: Here we define t as the number of seconds elapsed. Also, locations below the resting position have negative values for f. - 3.75 . In other words, find Find the location of the weight at time t f(3.75). If needed, round any decimals to two decimal places. f(3.75) : inches, that the weight is away <-- from its starting position Tip: Be careful with your use of parentheses, iflwhen using a calculator on this question.
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