A jogger jogs around a circular track with a diameter of 330 meters in 31 minutes. What was the runner's average speed?

What was the runner's average velocity

Avg. Speed: pi*330 m/(31*60 s)

= ____ m/s
That is very slow for jogging, by the way. Abut 2 km per hour would be considered loitering.

Avg. Velocity = 0
(Do you see why?

To find the jogger's average speed, we need to divide the total distance covered by the total time taken. The total distance covered by the jogger is equal to the circumference of the circular track, which can be calculated using the diameter.

Circumference of a circle = π * diameter

Given that the diameter of the circular track is 330 meters, the circumference can be calculated as:

Circumference = π * 330 meters

To find the average speed, we need to divide this distance by the total time taken. The total time taken is given as 31 minutes, but it should be converted to hours to be consistent with the unit of speed (meters per hour).

1 hour = 60 minutes

So, 31 minutes is equal to (31/60) hours.

Now, let's calculate the average speed:

Average Speed = Circumference / Total Time Taken

Average Speed = (π * 330 meters) / (31/60) hours

To find the average velocity, we need to consider both the magnitude (speed) and direction. Since the jogger is moving in a circle, the direction is continuously changing. Therefore, the average velocity is zero because the displacement over one complete circular path is zero.

So, the runner's average speed is (π * 330 meters) / (31/60) hours, and the runner's average velocity is zero.