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Math Help - Word problem

  1. #1
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    Word problem

    Someone please help me with detailed steps!


    1. The boy decides to ride the Terror Tower. At its maximum height, the ride reaches 65 m above the ground. When the boy reaches the top of the tower, his gum falls out of his mouth. The height of the gum can be given by the mathematical model h(t) = 65 -4.9t2 , where t is the time in seconds and h is the height measured in meters.


    a) Find the average velocity of the gum on the intervals 2≤t≤3 and 2t2.1

    b) Find the instantaneous velocity when t = 2.

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  2. #2
    MHF Contributor
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    Re: Word problem

    a) the average velocity over those intervals is just the difference in height at the beginning and end of each interval divided by the interval length.

    b) $v(t)=\dfrac d {dt} h(t)$

    so find the derivative of h(t), do you know how to do that?, and evaluate it at t=2.
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  3. #3
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    Re: Word problem

    Nope, i do not know. Can you help me solve it please?
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