Question

A track star ran two laps around a circular track, radius 50 m, in a time of 115 seconds. What was the runner’s average velocity?

a) 1.1 m/s
b) 2.2 m/s
c) 3.3 m/s
d) 4.4 m/s

Answer 1

To find the runner's average velocity, divide the total distance traveled by the time taken. In this case, the runner ran two laps around a circular track with a radius of 50 m, resulting in an average velocity of approximately 3.3 m/s.

Step-by-step explanation:

To find the runner's average velocity, we need to divide the total distance traveled by the time taken. In this case, the runner ran two laps around a circular track with a radius of 50 m. The distance of one lap is equal to the circumference of the circle, which is given by the formula 2πr, where r is the radius. Therefore, the total distance traveled is 2 x 2π(50) = 200π m. The time taken is given as 115 seconds. Now, we can calculate the average velocity:

Average Velocity = Total Distance / Time Taken

Average Velocity = 200π m / 115 s

Average Velocity ≈ 3.3 m/s

Therefore, the runner's average velocity is approximately 3.3 m/s, which corresponds to option c.