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A question in knematics

  1. Jun 4, 2014 #1
    1. The problem statement, all variables and given/known data

    A particle moves along a straight line such that its displacement x changes with time t as x= sqrt( at+2bt + c) where a, b and c are constants, then the acceleration varies with x as

    2. Relevant equations

    3. The attempt at a solution
    I cant figure out how do i solve it. Using graphs as well, I could not arrive at any conclusion.
  2. jcsd
  3. Jun 4, 2014 #2


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    Gold Member

    The question is incomplete. Please post the full question
  4. Jun 4, 2014 #3
    No, @adjacent, the question isnt incomplete. We have to fill in the blank. "the acceleration varies with x as ________ ". Sorry for not mentioning it clearly!
  5. Jun 4, 2014 #4


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    When you are given the position as a function of time, how do you find the acceleration using derivative?
  6. Jun 4, 2014 #5
    My suggestion:
    First take second derivative of x with respect to t to get acceleration which we will call z.
    Then use dz/dx = (dz/dt)/(dx/dt)

    Looks messy, but technically correct. In the final result, substitute for x where it appears.
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