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Math Help - velocity

  1. #1
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    velocity

    Hi there every1,

    i have a technology maths question that i am not sure how to solve, if any one knows the solution to this question please let me know, will really appreciate it.

    The linear displacement of a component is given by

    s=82t 2t^3


    a. Find the velocity v = ds/dt
    b. at what value of t is v = 0 ?
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  2. #2
    Member
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    Well the question is elementary.

    ds/dt is the velocity. The derivative of s with respect to t.

    Just differentiate the given equation.

    so ds/dt= 82- 6t^2

    now for v=0, just set the above equation =0 and solve for t..
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  3. #3
    Senior Member Twig's Avatar
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    When you have the distance as a function of time, as you have here, the velocity is given by the derivative of the function.

    s(t)=82t-2t^{3}

    To find \frac{ds}{dt}=v(t) , you need to know some basic differentiation rules.

    v(t)=82-6t^{2}

    To find the t for which the velocity is zero, you need to solve a equation in  t .

    82-6t^{2}=0

    t^{2}=\frac{82}{6}

    t=\sqrt{\frac{41}{3}}
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