Section 4.2, problem 32
At 2:00 PM a car's speedometer reads 30 mi/h. At 2:10 PM it reads 50 mi/h. Show that at some time between 2:00 and 2:10 the acceleration was exactly 120 mi/h2.Section 4.2, problem 33
Two runners start a race at the same time and finish in a tie. Prove that at some time during the race they had exactly the same velocity.