The correct answer is option 3, which states that the displacement at the end of 3 minutes and 45 seconds is 200 m.

To understand why this is the correct answer, we need to know what displacement means. Displacement is the shortest distance between the initial and final positions of an object in a specific direction. In this case, the boy is running in a circular track.

Given that the track has a diameter of 200 m, the radius of the track would be half of the diameter, which is 100 m. One round of the circular track would mean running along the circumference of the circle.

The circumference of a circle is calculated using the formula C = 2πr, where C is the circumference and r is the radius. Plugging in the values, we get C = 2π(100) = 200π.

Since the boy completes one round in 30 seconds, we can find his speed using the formula speed = distance/time. The distance traveled in one round is the circumference of the track, which is 200π m. Plugging in the values, we get speed = (200π m) / (30 s) = 20π m/s.

To find the displacement at the end of 3 minutes