# What does a parabola tell about the relationship btwn displacement and ave velocity

1. Sep 16, 2010

### vinnie4

This question is part of a lab report I've been working on, sorry in advance if I didn't follow all guidelines here.
1. The problem statement, all variables and given/known data
Explain what the shape of the graph tells you about the mathematical relationship between displacement and average velocity. Include the kinematic equation that correctly relates initial velocity, final velocity, acceleration and displacement.

2. Relevant equations
v^2 = v_o^2 + 2a($$\Delta$$ x)

3. The attempt at a solution
I've already done the graph which is a half parabolic shape with displacement on the y axis and average velocity on the x axis (i know the independent variable should be on the x, but my teacher wanted us to graph it this way to see the parabola). I also understand that the velocity increase starts out at a slower rate than the increase in displacement, but after a certain point, the velocity increases at a higher rate than the displacement.

Is that it or am i missing something else?
Also, could someone help me word it in a neater fashion?