How do I convert a distance time graph into a velocity time graph. I am given a distance time graph with three curves but i am not sure how to calcualte the area of them to get the velocity time graph.

2 answers

slope of displacement versus time or dx/dt at any point is velocity

v = integral of a dt
if you were given the ACCELERATION ,a, you would need to do area, but you were not.
So i just find the slope of the curve