Homework Help: Velocity versus distance graph

1. Aug 26, 2014

sylwesh98

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 !!!

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2. Aug 26, 2014

Staff: Mentor

Show us how you've analyzed the problem so far, please. Are you studying differential equations now?

Chet

3. Aug 27, 2014

sylwesh98

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.
I just wanted to know how to do the sum!!!

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• 1409183242112.jpg
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4. Aug 27, 2014

Staff: Mentor

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

5. Aug 27, 2014

sylwesh98

V=-2x+4

6. Aug 27, 2014

sylwesh98

Even after trying with that equation I can't get the solution

7. Aug 27, 2014

Staff: Mentor

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

8. Aug 27, 2014

sylwesh98

I got a=-2v and v = -2x +4 and solving them I got the answer
thank you sir!!!!