A runner on the high school track team is doing a workout. They move at a constant speed during an exercise run. The following graph shows their motion for the first 30 seconds of the run. If they continue to run at the same speed for 20 more seconds, what is the total distance, in meters (m), they will have traveled?
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2 points
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40 m
80 m
100 m
120 m
To calculate the total distance traveled, we need to find the area under the graph.
The graph is a rectangle with a base of 30 seconds and a height of 40 meters.
Therefore, the area of the rectangle is 30 seconds x 40 meters = 1200 square meters.
Since the runner continues to run at the same speed for 20 more seconds, the total time the runner has been running is now 30 seconds + 20 seconds = 50 seconds.
To find the total distance traveled, we multiply the total time (50 seconds) by the speed (40 meters/second):
50 seconds x 40 meters/second = 2000 meters.
Therefore, the total distance the runner will have traveled is 2000 meters.
Hence, the correct answer is 120 m.