High School

A car travels along a straight stretch of road. It proceeds for 13.7 miles at 53 mi/h, then 28.6 miles at 47 mi/h, and finally 43.2 miles at 36.6 mi/h. What is the car’s average velocity during the entire trip?

Answer in units of mi/h.

Answer :

Final answer:

The average velocity of the car during the entire trip is 41.84 mi/h.

Explanation:

To determine the average velocity of the car during the entire trip, we need to calculate the total displacement and divide it by the total time.



The total displacement is the sum of the individual displacements: 13.7 mi + 28.6 mi + 43.2 mi = 85.5 mi.



The total time is the sum of the individual times: 13.7 mi / 53 mi/h + 28.6 mi / 47 mi/h + 43.2 mi / 36.6 mi/h = 0.258+0.609+1.18 = 2.047 hours.



Therefore, the average velocity of the car during the entire trip is 85.5 mi / 2.047 h = 41.84 mi/h.

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