Question: In a test, a car drives zero net distance in 1 h by switching from reverse to forward at some point. The test includes achieving

In a test, a car drives zero net distance in 1 h by switching from reverse to forward at some point. The test includes achieving the maximum possible reverse speed (20 mph) and the maximum possible forward speed (120 mph).
Draw the positions of cars from the above descriptions of 1-h trips. What speed must the car achieve according to the Mean Value Theorem? What speeds must the car achieve according to the Intermediate Value Theorem?

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