A person jog eight complete laps around a 400 m track in a total time of 14.9 min. Calculate the average speed in m/s and average velocity in m/s?

Verified Answer :

W0lf93

The average speed of the person jogging is .45 m/s. This answer can be determined by taking 400m and dividing by 14.9 min. This will give you 26.8 m/min. You then convert the minutes to seconds in the denominator by multiplying 26.8 m/min by 1min/60s and you get .45 m/s.

1) Average speed

First of all, we need to convert the total time from minutes to seconds. Keeping in mind that 1 min = 60 s, we have

\(t=14.9 min \cdot 60 s/min =894 s\)

Each lap is 400 m, and the person completes 8 laps, so the total distance covered by the person is

\(S=8 \cdot 400 m=3200 m\)


The average speed is just the ratio between the total distance and the total time:

\(v=\frac{S}{t}=\frac{3200 m}{894 s}=3.6 m/s\)


2) Average velocity

The average velocity is equal to the ratio between the total displacement of the person and the total time:

\(v=\frac{d}{t}\)

however, the total displacement is zero, because the person returns to his starting point (the track is a closed circuit). Therefore, d=0 and the average velocity is zero as well:

\(v=0\)