Concept Question 1 (Dartmouth)

Two cars take trips. Each car is equipped with a recording speedometer that graphs the car’s speed as a function of time. The areas under the two graphs are the same. What can we conclude?

1. The two trips took the same amount of time.
2. The two cars traveled the same total distance as measured by their odometers.
3. The two cars traveled the same average speed.
4. The starting and ending points of the two trips were the same distance apart.
5. We can’t conclude anything unless we know whether the two trips took the same amount of time.

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Contributors: M. Groszek/D. Mook
Institution: Dartmouth University
Target Audience: Calculus Students
7/30/99