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Math Help - Integral Application

  1. #1
    Del
    Del is offline
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    Integral Application

    A particle moves in a straight line with velocity ft/s. Find the total displacement and total distance traveled over the time interval .


    I found that the displacement was 0.661458 ft., but I cannot find the total distance. I don't think my displacement is right, please help!
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  2. #2
    Super Member PaulRS's Avatar
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    Well, remember that \frac{dx}{dt}=v

    Thus we have: \int_{t_1}^{t_2} v \cdot{dt}=x(t_2)-x(t_1)=\Delta x

    (Fundamental Theorem)

    Where x(t) is the position at the time t

    With that you get the distance traveled

    For the displacement read here
    Distance & Displacement

    And remember that your particle is moving in a straight line
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