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Math Help - Differential Equations and the position function

  1. #1
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    Differential Equations and the position function

    Hey first post eager to get active in this community, but I have a problem.


    find the position function x(t) of a moving particle with the givien acceleration a(t), initial position =x(0) and initial velocity= v(0) using the following data.

    a(t)=50, initial velocity=10 and initial position=20
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  2. #2
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    no replies but i tried it in case someone has the same problem I'll post someone can check it if they have the time.


    find the position function x(t) of a moving particle with the givien acceleration a(t), initial position =x(0) and initial velocity= v(0) using the following data.

    a(t)=50, initial velocity=10 and initial position=20


    since dv/dt=a(t)=50
    v(t)=50t+c
    v(0)=10 so c=10
    v(t)=50t+10


    since dx/dt=v(0)=50t+10
    x(t)=25t^2+10t+D
    x(0)=20 so D=20
    x(t)=25t^2+10t+20
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  3. #3
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    Looks good to me.

    (Nobody replied because we knew you could do it yourself. )
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