A particle moves along the sides AB, BC, CD of a square of side 25 m with a velocity of 15 m/s. Its average velocity is
Correct answer: D. 5 m/s
- A. 15 m/s
- B. 10 m/s
- C. 7.5 m/s
- D. 5 m/s
Explanation
The average velocity is defined as the total displacement divided by the total time taken. In this problem, even though the particle travels around three sides of a square, the displacement is simply the straight-line distance from the starting point (A) to the endpoint (D), which is one side of the square, or 25 m. The time taken to travel along the three sides is calculated by dividing the total distance traveled (75 m) by the speed (15 m/s), resulting in 5 seconds. Therefore, the average velocity is calculated as:Average velocity = Total displacement / Total time = 25 m / 5 s = 5 m/s.Other options incorrectly assume different relationships between the distance, displacement, or time, or confuse average speed with average velocity.
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