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Math Help - Average velocity question

  1. #1
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    Average velocity question

    1. On a rainy day, you are travelling in a car at 20m/s when you suddenly apply the brakes - at, say, t = 0 seconds. The distance that you skid after braking is given by the function x(t) = 20t - t^2, where x is measured in meters.

    a) Find the average velocity of your car over the following intervals of time.

    i) between 4 and 5 seconds
    ii) between 4 and 4.1 seconds
    iii) between 4 and 4.0001 seconds

    b) Using your answers above estimate the instantaneous velocity of the skidding car at 4 seconds after you braked.

    Will I use this formula to figure out part a ?

    (f(x+h) - f(x))/h. If so will the information "20m/s" be useless then?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by letzdiscuss View Post
    1. On a rainy day, you are travelling in a car at 20m/s when you suddenly apply the brakes - at, say, t = 0 seconds. The distance that you skid after braking is given by the function x(t) = 20t - t^2, where x is measured in meters.

    a) Find the average velocity of your car over the following intervals of time.

    i) between 4 and 5 seconds
    ii) between 4 and 4.1 seconds
    iii) between 4 and 4.0001 seconds

    b) Using your answers above estimate the instantaneous velocity of the skidding car at 4 seconds after you braked.

    Will I use this formula to figure out part a ?

    (f(x+h) - f(x))/h. If so will the information "20m/s" be useless then?
    Yes, and the 20 m/s is built into the skid distance formula, so you do not need it explicitly.

    CB
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