# Homework Help: Velocity Time Graph Clarification and Insight Please

1. Sep 3, 2009

### bleedblue1234

1. The problem statement, all variables and given/known data

What type of motion is occuring when the slope is changing and the graph is therefore curved on a velocity time graph?

2. Relevant equations

v=(delta)x/(delta)t

A= (delta)v/(delta)t

3. The attempt at a solution

my thought is that when the slope is changing the acceleration is either increasing or decreasing ...

So if I were to have an upward sloping curved v-t graph, this would mean that the average acceleration is increasing with time, while if i were to have a downward sloping v-t graph the average acceleration would be decreasing with time...

and if i had a line (linear) slope on a v-t graph, we would have uniform acceleration...

2. Sep 3, 2009

### Jebus_Chris

Yep. The slope of a velocity-time graph is acceleration. So if the function is linear ie slope is constant, then acceleration is constant. It the slope isn't constant you have a changing acceleration.