An athlete completes one round of a circular track of radius R in 40 seconds. What will be the displacement at the end of 1 minute?

Explanation

Here's the reasoning:Displacement: In circular motion, the displacement refers to the straight-line distance between the starting and ending points.One round: Completing one round of the track implies the athlete has traveled a full circle with a circumference of 2πR.Time: Since the athlete completes one round in 40 seconds, they would complete 1.5 rounds (60 seconds / 40 seconds/round) in 1 minute.Total distance: Over 1.5 rounds, the athlete travels a total distance of 1.5 * 2πR = 3πR.However, displacement specifically refers to the straight-line distance between the starting and ending points. Since the athlete returns to the starting point after completing multiple rounds, the displacement remains the same as the circumference traveled in one round, which is:Displacement = 3πRTherefore, even though the athlete covers a total distance of 3πR in 1 minute, their displacement remains 3πR as they return to the starting point, making option (d) the correct answer.Incorrect Options Explanation:(a) 0: This is not the correct displacement for the scenario described. He travels some distance in 20 seconds.(b) 2R: This would be the distance traveled by the athlete but not the displacement since it doesn't account for the direction.(c) R: The athlete returns to the starting point, so the displacement is zero.