An object that starts at a position of 5 m and travels for 3 s at a velocity of −9 m/s ends up at what position?

So Velocity = final position - initial position divided by time. We are looking for The final position so let's plug in what we know and go from there.

V = -9 m/s Xf = ? Xi = 5m T = 3s

to solve

-9 m/s = (X - 5m) / 3s

-9 x 3 = X - 5

-27 + 5 = X

Xf = 32 m (distance can't be in negative, so we disregard that)

(Hopefully this is right, I haven't done any physics since last year. But it shouldn't be too far off)

the area between the graph and the t axis

technology is the application of the knowledge gained by science.