Question

how in the world does the area under the graph of velocity determine the distance traveled?

Answer 1

\[v=\frac{ dx }{ dt },x=\int\limits vdt\]

Answer 2

integration is just a way of calculating the area under a graph

Answer 3

so if distance is the integral of v, then the area under a volecity time graph gives you distance

Answer 4

I don't know how that is supposed to work..
So the velocity graph is basically the slope of the distance graph.. But how does the area underneath the slope of the distance graph determine the distance traveled..

Answer 5

distance = velocity * time