Question

1. a student rides their bicycle around a circular track with a radius of 100 meters. if the student completes two full revolutions around the track, what is the total distance covered by the bicycle, and what is the displacement from the starting point? hint : circumference = 2πr

Explanation:

Step1: Calculate the circumference of the circular track

The formula for the circumference of a circle is $C = 2\pi r$. Given $r = 100$ meters, so $C=2\pi\times100 = 200\pi$ meters.

Step2: Calculate the total distance covered

The student makes 2 full - revolutions. The total distance $d$ is the number of revolutions times the circumference. So $d = 2\times C=2\times200\pi=400\pi\approx400\times 3.14 = 1256$ meters.

Step3: Determine the displacement

Displacement is the straight - line distance from the starting point to the ending point. Since the student returns to the starting point after two full revolutions, the displacement $\Delta x=0$ meters.

Answer:

Total distance: $400\pi\approx1256$ meters; Displacement: 0 meters