Velocity Time Graph Clarification and Insight Please

[bleedblue1234]

Homework Statement

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

Homework Equations

v=(delta)x/(delta)t

A= (delta)v/(delta)t

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...

 

[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.