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Velocity versus distance graph

  1. Aug 26, 2014 #1
    1. The problem statement, all variables and given/known data

    the velocity of a particle moving along x-axis varies with its position x as shown in figure. The acceleration of a particle varies with position as !!!
     

    Attached Files:

  2. jcsd
  3. Aug 26, 2014 #2
    Show us how you've analyzed the problem so far, please. Are you studying differential equations now?

    Chet
     
  4. Aug 27, 2014 #3
    Sir ,
    I've tried the sum according to the following attachment .
    Actually I have very less knowledge of differential equations.
    I came across this problem when I'm studying motion in a straight line chapter.
    The answer given is 4x-8
    But no solution is given.
    Please help me sir.
    Thanks in advance!
    I just wanted to know how to do the sum!!!
     

    Attached Files:

  5. Aug 27, 2014 #4
    OK, from the graph, what is the equation for the velocity v as a function of the distance x? (This is the first step in obtaining the solution).

    Chet
     
  6. Aug 27, 2014 #5
    V=-2x+4
     
  7. Aug 27, 2014 #6
    Even after trying with that equation I can't get the solution
     
  8. Aug 27, 2014 #7
    Take the derivative of this equation with respect to time. What do you get? How is dv/dt related to the acceleration. How is dx/dt related to the velocity?

    Chet
     
  9. Aug 27, 2014 #8
    I got a=-2v and v = -2x +4 and solving them I got the answer
    thank you sir!!!!
     
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