1. You can tell what happens by looking at where the line is. The runner runs 14 meters in 4 seconds. Then for 4 seconds he rests at 14 meters from the starting point. Then the runner runs 10 meters back to 4 meters from the starting point in 5 seconds and stops.
2. To calculate the distance traveled, divide the graph into shapes by looking under the line:
We see a triangle that stops at 4 seconds, a rectangle that starts at 4 and ends at 8 seconds and finally a triangle that starts at 8 seconds and we assume that it maybe ends at 16 seconds because the graph cuts off. So now you calculate the area of these three shapes:
The area of a triangle is = bh/2 (base x height divided by 2):
The first triangle:
4 x 14/2
= 28
Now the rectangle is lw (length x width):
It doesn't matter which side is length or width so:
4 x 14 = 56
Now the third triangle which uses the same formula for the first one:
8 x 14/2
= 56
Now add all these numbers together:
28 + 56 + 56= 140m
The runner travelled 140 meters on the run.
The displacement is 4 meters north of we work with where the graph actually ends. Because the line ends for ,enters north of where the starting point is.
