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Math Help - Velocity of a car

  1. #1
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    Velocity of a car

    The Velocity of a car is given by v(t)=120(1-0.85^t)

    How can i calculate the average and instant acceleration of the car in the first 5 seconds/
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  2. #2
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    Re: Velocity of a car

    Quote Originally Posted by waleedrabbani View Post
    The Velocity of a car is given by v(t)=120(1-0.85^t)

    How can i calculate the average and instant acceleration of the car in the first 5 seconds/
    average acceleration from t = 0 to t = 5 ...

    \bar{a} = \frac{v(5)-v(0)}{5-0}

    understand that the instantaneous acceleration calculation requires calculus.

    a(t) = v'(t)

    What do you know about derivatives of exponential functions?
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    Re: Velocity of a car

    my teacher never taught us derivities instead we use something like (f(X)+(X.0001))/.0001
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    Re: Velocity of a car

    Quote Originally Posted by waleedrabbani View Post
    my teacher never taught us derivities instead we use something like (f(X)+(X.0001))/.0001
    ok, then ... you're making an estimate of the instantaneous rate of change of velocity. get out your calculator and do it.

    a(5) \approx \frac{v(5.0001) - v(5)}{5.0001 - 5}
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