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Math Help - Average velocity questions

  1. #1
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    Average velocity questions

    At a time of t seconds, a particle moves a distance of s meters from its starting point, where s=4.2 sin(1.2 t).
    (a) Find the average velocity (correct to four decimal places) between t=1 and t=1+h for the following values of h.
    If h=0.1 then the average velocity over the time period [1,1.1] equals______m/s.
    If h=0.01 then the average velocity over the time period [1,1.01] equals______m/s.
    If h=0.001 then the average velocity over the time period [1,1.001] equals______m/s.
    If h=0.0001 then the average velocity over the time period [1,1.0001] equals_____m/s.


    This qusetion confuses me Do I just substitute the 1,1.1 into x and solve it? Any help/hints are greatly appreaciated thanks a lot !!
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  2. #2
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    Quote Originally Posted by letzdiscuss View Post
    At a time of t seconds, a particle moves a distance of s meters from its starting point, where s=4.2 sin(1.2 t).
    (a) Find the average velocity (correct to four decimal places) between t=1 and t=1+h for the following values of h.
    If h=0.1 then the average velocity over the time period [1,1.1] equals______m/s.
    If h=0.01 then the average velocity over the time period [1,1.01] equals______m/s.
    If h=0.001 then the average velocity over the time period [1,1.001] equals______m/s.
    If h=0.0001 then the average velocity over the time period [1,1.0001] equals_____m/s.


    This qusetion confuses me Do I just substitute the 1,1.1 into x and solve it? Any help/hints are greatly appreaciated thanks a lot !!
    v_{avg} = \frac{s(t+h) - s(t)}{h}
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  3. #3
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    Quote Originally Posted by skeeter View Post
    v_{avg} = \frac{s(t+h) - s(t)}{h}

    Thanks a lot Got the right answer !
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