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Math Help - rates of change word problem

  1. #1
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    rates of change word problem

    I need help setting up this word problem, i know i need to use limits

    The distance an airplane has flown at t hours is given by
    S(t) = 600t + 30t^2 - 4t^3, where S is the distance in kilometers and 0 x\leq t\leq 5. Estimate the instantaneous rate of change in distance at exactly 2 h.
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  2. #2
    am1
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    S(t) = 600t + 30t^2 - 4t^3 (distance of the airplane in km with respect to time-t )
    s'(t) = 600 + 60t - 12t^2 (instantaneous rate with respect to "t" in hours)
    s'(2) = 768 km/h
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