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Kinematics Problem involving variable acceleration

  1. Jan 27, 2010 #1
    1. The problem statement, all variables and given/known data
    What if the acceleration is not constant? A particle starts from the origin with velocity 8 i m/s at t = 0 and moves in the xy plane with a varying acceleration given by vector a = (7√t j) m/s2, where t is in s. Answer the following using t as t as necessary.

    Determine the vector velocity of the particle as a function of time.

    2. Relevant equations



    3. The attempt at a solution

    I could find the x-component of the velocity vector, but integrating 8 with respect to time. However, when my answer is wrong when i integrated 7(t^0.5) in an attempt to find the velocity of the particle as a function of time.

    4.67t^(1.5) is my answer.
     
  2. jcsd
  3. Jan 27, 2010 #2

    tiny-tim

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    Welcome to PF!

    Hi zewei1988! Welcome to PF! :smile:

    (try using the X2 tag just above the Reply box :wink:)
    What do you mean? The 8i velocity component is constant.
     
  4. Jan 27, 2010 #3
    I'm sorry, I din integrate it with time. I mixed up my solutions for the other part of the question. I simply put 8 as the velocity vector along the x-axis.
     
  5. Jan 27, 2010 #4

    tiny-tim

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    So your answer is 8i + 4.67t3/2j ?

    That looks ok to me. :confused:
     
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