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The Maximum Speed of Mass, Potential Energy and Spring Constant for A Spring.

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The position of a 0.500 kg spring as a function of time is given as x(t) = (1.25 m)cos(6.00 t).

What is the maximum speed of the mass? (7.5 m/s)
What is the spring constant for this spring? (18 N/m)
What is the maximum potential energy of this spring? (14 J)

The answers given are in parenthesis. I'm just stuck. Thank you!

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This solution provide steps to determine the maximum speed of the mass, the spring constant and the maximum potential energy.

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