Question concerning V vs. T graph

Question

I have a question concerning velocity vs time graphs. I am unsure when the velocity cuts off before it hits the x-axis and whether we should include the area underneath it.

I had trouble explaining this in words so I tried to diagram it on a google slideshow.

https://docs.google.com/presentation/d/e/2PACX-1vThZkiUTS33vkQJS19u4k-ycs8DlI5F8i5Ry0dnkKQMsHq7PSi6Wz1VijkaAkAU3j-tVZ2Km8quYE_H/pub?start=false&loop=false&delayms=3000

Answer 1

The graph would be drawn like this:

I've added the color sections to describe the position calculations.

To get the change in position from time zero to time A, calculate the light blue area (a negative number)

To get the change in position from time A to time B, calculate the green area. To get zero to B, add blue (the negative) to green (notice they almost cancel each other out).

To get the change in position from time B to time C, calculate the yellow area. To get zero to C, add blue (the negative) to green and to yellow.

To get the change in position from time C to time D, calculate the purple area. To get zero to D, add blue (the negative) to green to yellow to purple.