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Math Help - Power Rules of Derivatives

  1. #1
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    Unhappy Power Rules of Derivatives

    I am completely lost, please advice what steps to take?


    The motion of an avalanche is described by s(t) = 3t^2, where s is the distance in metres travlled by the leading edge of the avalanche at t seconds.

    a) Find the distance travelled from 0 to 5 s

    b) find the rate at which the avalanche is moving from 0 s to 10 s

    c) find the rate at which the avalanche is moving at 10 s

    d) How long, to the nearest second, does the leading edge of the avalanche take to move 600 m?
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  2. #2
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    Quote Originally Posted by advancedfunctions2010 View Post
    I am completely lost, please advice what steps to take?


    The motion of an avalanche is described by s(t) = 3t^2, where s is the distance in metres travlled by the leading edge of the avalanche at t seconds.

    a) Find the distance travelled from 0 to 5 s

    s(5)

    b) find the rate at which the avalanche is moving from 0 s to 10 s

    v{avg} = [s(10) - s(0)]/(10 - 0)

    c) find the rate at which the avalanche is moving at 10 s

    v(10) = s'(10)

    d) How long, to the nearest second, does the leading edge of the avalanche take to move 600 m?

    set s(t) = 600 ... solve for t
    ...
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