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Math Help - Displacement

  1. #1
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    Displacement

    man i really suck at this...

    oh im really confused here

    so my problem is asking me to find the displacement and average velocity speed and i am given this s=t^2-3t+2, 0 less=t less=2

    now how do i find the disp and AVS?? am i suppost to just plugin? or do i use f(t+changet)-f(t)/changet

    and if i do use the above... what goes where?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by cyberdx16 View Post
    man i really suck at this...

    oh im really confused here

    so my problem is asking me to find the displacement and average velocity speed and i am given this s=t^2-3t+2, 0 less=t less=2

    now how do i find the disp and AVS?? am i suppost to just plugin? or do i use f(t+changet)-f(t)/changet

    and if i do use the above... what goes where?
    1. What you have is the displacement time function of a body/partice
    or what ever. So if you are asked to find the displacement there is
    nothing to do, at time 0<=t<=2 it is:

    s(t)=t^2-3t+2.

    2. You have to decide what you want for the second part, the average
    velocity or the average speed.

    The velocity is:

    v=ds/dt=2t-3

    and so the average velocity is:

    v_av=[int(0,2) v dt]/2=(s(2)-s(0))/2

    The average speed is:

    sp_av=[int(0,2) |v(t)| dt]/2=[ {int(0,1.5) 3-2t dt} + {int(1.5,2) 2t-3 dt}]/2

    where we split the integral at t=1.5 because that is where the integrand
    (2t-3) changes sign.

    RonL
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