During a 3-hour trip

PHYSICS · Single correct · CBSE · Physics · Motion · Motion

Problem

During a 3-hour trip, a car’s trip computer reports an average speed of 55 mph55\text{ mph}. At exactly t=2.5 ht=2.5\text{ h}, the speedometer reads 70 mph70\text{ mph}. Which of the following statements best interprets these two pieces of information? (a) The car’s speed has been close to 70 mph70\text{ mph} for most of the trip because its instantaneous speed exceeds the average. (b) An average speed of 55 mph55\text{ mph} guarantees that the car never exceeded 55 mph55\text{ mph} at any moment. (c) Because the instantaneous speed is greater than the overall average, the car must have been traveling at some speed less than 55 mph55\text{ mph} at another time during the trip. (d) To balance the 70 mph70\text{ mph} reading at t=2.5 ht=2.5\text{ h}, the car had to be traveling below 55 mph55\text{ mph} immediately before t=2.5 ht=2.5\text{ h}.

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