# Homework Help: Distance vs. velocity

1. Sep 18, 2007

### lawk

1. The problem statement, all variables and given/known data
Why is a parabola formed when a graph of distance(y axis) vs. velocity(x axis) is plotted against each other? (constant acceleration)

2. Relevant equations
s=ut+1/2at^2 (guessing?)
v^2-u^2 = 2as (guessing?)

3. The attempt at a solution
I don't know if there is any relationship between veloctiy and distance without knowing the time. But my teacher told me that time was not needed to prove it was a power function....???

2. Sep 18, 2007

### Ekpyrotic

Hi.

I'd say you're thinking about the problem in the wrong way.

Try drawing up the parabolic graph of distance vs velocity, and then ask yourself what the graph's shape is suggesting.

I hope that's a good enough hint in the right direction.

~ Ek.

Last edited: Sep 18, 2007
3. Sep 18, 2007

### lawk

I don't really understand...
my data is like below
distance(m)
1
1.3
1.5
1.69
vel(m/s)
1.1675
1.325
1.4275
1.51

How can I prove what kind of function is it??

The graph looks like this...

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