velocity: time graph to position: time graph to acceleration: time graph

Question

The initial position is zero and we were given the velocity time graph. The graph has some curves and some straight lines. How do you transition the graphs from velocity:time graph to position: time graph and then from there to acceleration: time graph?

Answer 1

hi Erin

 

I would add up the velocity grid points from zero to the given time t to give the positions.

For acceleration, I would measure the local slope of the velocity graph and each time t to get the acceleration at time t.

 

Hope this helps

 

Ben