A Plane Begins Its Takeoff at 2:00 P

question 48

Multiple Choice

A plane begins its takeoff at 2:00 P.M. on a 3000-mile flight. After 11.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 200 miles per hour.

• A)By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 130.4 mi/hr. The speed was 200 mi/hr when the plane was accelerating to 130.4 mi/hr and decelerating from 130.4 mi/hr.
• B)By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 173.9 mi/hr. The speed was 200 mi/hr when the plane was accelerating to 173.9 mi/hr and decelerating from 173.9 mi/hr.
• C)By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 260.9 mi/hr. The speed was 200 mi/hr when the plane was accelerating to 260.9 mi/hr and decelerating from 260.9 mi/hr.
• D)By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 222.2 mi/hr. The speed was 200 mi/hr when the plane was accelerating to 222.2 mi/hr and decelerating from 222.2 mi/hr.
• E)By the Mean Value Theorem, there is a time when the speed of the plane must equal the average speed of 444.4 mi/hr. The speed was 200 mi/hr when the plane was accelerating to 444.4 mi/hr and decelerating from 444.4 mi/hr.

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