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Math Help - Postion and Velocity Function

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    Position Functions

    Never mind... I figured it all out!
    Last edited by LRoseT; March 26th 2008 at 06:58 PM.
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    Quote Originally Posted by LRoseT View Post
    A particle moves along the x- axis where t>0 and it's position is given by
    x(t)= (t*ln(t))-t

    a). What is the velocity function?
    b). When is the particle moving left? (Be careful of the domain of the position function!)
    c). At t=2, is the particle speeding up or slowing down?


    I need the answers to all three PLEASE.
    a)
    v = \frac{dx}{dt} = ln(t)

    b) The particle will be moving left when v > 0. So when is this?

    c) To answer speeding up or slowing down you need to look at the acceleration. Have a care: look at the magnitude of the velocity when you take your derivative because the question is not asking if the velocity is increasing/decreasing, it is asking about the speed.

    -Dan
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