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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.