Mathematics
Mathematics, 28.07.2020 16:01, lilymclain7

At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:15 the acceleration is exactly 80 mi/h^2. Let v(f) be the velocity of the car t hours after 2:00 PM. Then By the Mean Value Theorem, there is a number c such that 0 Since v'(t) is the acceleration at time t. the acceleration c hours after 2:00 PM is exactly 80 mi/h^2.

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At 2:00 PM a car's speedometer reads 30 mi/h. At 2:15 PM it reads 50 mi/h. Show that at some time be...

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