# Homework Help: Drawing v-s graph from a-s one

1. Mar 4, 2014

### bigu01

1. The problem statement, all variables and given/known data
The a-s graph given below belongs to a bus travelling along a straight road.Given that the velocity of the bus is 10 m/s when s=0, plot the v-s graph of the bus.

2. Relevant equations

∫vdv=∫ads or 1/2(v2^2-v1^1)=(area under a-s curve.

3. The attempt at a solution

Finding the area of the graph I can find the final velocity, but I can not approach drawing the graphs as I do not know how to draw it from a-s graph.I thought to find the slope of the a with respect to s, then to integrate it to find a formula for v, but that should be with respect to time. Please can you direct me to find the correct solution?

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2. Mar 4, 2014

### bigu01

Integrating what I've written above, I got 1/2(v2^2-(10)^2= 300 , and going further v2=square root of 700. I just have to find how does the curve or line of velocity changes with position.

3. Mar 4, 2014

### Staff: Mentor

You already have it and you just don't know it. You have v2 at the final distance. That will be one point on your v-s graph. Just don't integrate all the way out to the end. Integrate only up to specific values of s, and get the v values that go along with those s values. Make a table of the v's and the s's. Then plot up the points.

Chet