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Kinematics Of Particles

  1. Jan 5, 2013 #1
    Hi guys. I'm new here. If i did any mistake please forgive me.



    First of all I have a simple problem need all of you to help me.



    Here is the problem


    The acceleration of a particle is defined by the relation a = -k√v, where k is constant.
    Knowing that
    x = 0 and v = 81 m/s at t = 0
    and v = 36 m/s x = 18 m

    determine
    (a) the velocity of the particle when x = 24 m
    (b) the time required for the particle to come to rest.
     
  2. jcsd
  3. Jan 5, 2013 #2
    using ##a=v\frac{dv}{dx}## or ##a=\frac{dv}{dt}## and some integration, can you find a relation between v and x?
     
  4. Jan 5, 2013 #3

    I did but it not work for me. Maybe I missed some part. I'll try again. Thank for reply.
     
  5. Jan 5, 2013 #4
    You can post your calculations if you are stuck. :smile:
     
  6. Jan 5, 2013 #5
    I'll reply back. If I got stuck again. :smile:
     
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