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Math Help - Logs of Motion, how do i do this????

  1. #1
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    Exclamation Logs of Motion, how do i do this????

    the question is....

    position equation: x(t)= t ln t - 3t + c
    Velocity equation: v(t)= ln t -2

    a.) if particle is located at the orgin at t=1, find c and an equation for x(t)
    b.) for what values of t is the particle moving to the left
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  2. #2
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    Quote Originally Posted by freepancakes View Post
    the question is....

    position equation: x(t)= t ln t - 3t + c
    Velocity equation: v(t)= ln t -2

    a.) if particle is located at the orgin at t=1, find c and an equation for x(t)
    b.) for what values of t is the particle moving to the left
    a.) Substitute x(1) = 0: 0 = 1 ln (1) - 3(1) + c => 0 = -3 + c => c = 3.
    b.) v > 0 => moving to the right, v < 0 => moving to the left. Therefore. solve ln (t) - 2 < 0.
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    what about the second part to letter a...and equation for x(t)

    do i just plug what you found for C back into the original and thats my answer?
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  4. #4
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    Quote Originally Posted by freepancakes View Post
    what about the second part to letter a...and equation for x(t)

    do i just plug what you found for C back into the original and thats my answer?
    Well, you're given x(t) aren't you .... except for the value of c, which has now been calculated .....
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