A boy completes one round of a circular track of diameter 200 m in 30 s. What will be the displacement at the end of 3 minutes and 45 seconds ?

To find the displacement, we first calculate the total time in seconds: 3 minutes and 45 seconds equals 225 seconds (3!! 60 + 45). The boy completes one round of the circular track in 30 seconds. The number of rounds completed is the total time divided by the time per round: 225 / 30 = 7.5 rounds. Completing 7 full rounds returns the boy to the starting point, resulting in zero displacement for that portion of the movement. The remaining 0.5 (half) round places the boy at the diametrically opposite point from the start. In circular motion, the displacement after a half-revolution is equal to the diameter of the track. Given the diameter is 200 m, the final displacement is 200 m.