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Math Help - velocity of spring

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    velocity of spring

    A mass attached to a vertical spring has position function given by s(t)=5sin(3t) where t is measured in seconds and s in inches.
    Find velocity at time t=4.
    Find the acceleration at time t=4.
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    Quote Originally Posted by keemariee View Post
    A mass attached to a vertical spring has position function given by s(t)=5sin(3t) where t is measured in seconds and s in inches.
    Find velocity at time t=4.
    Find the acceleration at time t=4.
    velocity is the first derivative of position and acceleration is the 2nd derivative of postition so

    v(t)=\frac{ds}{dt}=15\cos(3t)

    v(4)=15\cos(12)

    a(t)=\frac{dv}{dt}=45\sin(3t)

    a(4)=45\sin(12)
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