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Math Help - velocity and tangent problem

  1. #1
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    velocity and tangent problem

    The displacement (in meters) of an object moving in a straight line is given by s=1+2t+\frac{t^2}{4} where t is measured in seconds.

    Use to find average velocity:
    \lim_{h\to0}\frac{f(a+h)-f(a)}{h}

    1) Find average velocity over each time period.
    a) [1,3]
    b)[1,2]
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  2. #2
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    Quote Originally Posted by yoman360 View Post
    The displacement (in meters) of an object moving in a straight line is given by s=1+2t+\frac{t^2}{4} where t is measured in seconds.

    Use to find average velocity:
    \lim_{h\to0}\frac{f(a+h)-f(a)}{h}

    1) Find average velocity over each time period.
    a) [1,3]
    b)[1,2]
    You have everything you need to do written here! The rest is just arithmetic. In the first problem a= 1 and h= 3-1= 2 so that a+ h= 3.
    s(3)= 1+ 2(3)+ \frac{3^2}{4} and s(1)= 1+ 2(1)+ \frac{1^2}{4}.
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