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Math Help - Velocity

  1. #1
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    Velocity

    The function s(t) =2t^3 +6t^2, describes the distance traveled in miles by a test racing car at time, in hours. find the speed (known as velocity r instantaneous rate of change) of the car at exactly 3 hours.
    Last edited by Hallah_az; April 8th 2006 at 08:10 PM. Reason: error
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  2. #2
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    Quote Originally Posted by Hallah_az
    The function s(t) =2t^3 +6t^2, describes the distance traveled in miles by a test racing car at time, in hours. find the speed (known as velocity r instantaneous rate of change) of the car at exactly 3 hours.
    Since,
    v(t)=\frac{ds}{dt}
    We have,
    v(t)=6t^2+12t
    Thus,
    v(3)=6(3)^2+12(3)=54+36=100\frac{ \mbox{miles}}{ \mbox {hour}}
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    Thank you for all your help

    Thank you!!b
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