A person jogs eight complete laps around a 400 m track in a total time of 14.9 minutes.

Calculate the average speed in m/s and the average velocity in m/s.

To calculate the average speed, we need to divide the total distance traveled by the total time taken. In this case, the total distance traveled is 8 laps, and each lap is 400 meters, so the total distance is 8 * 400 = 3200 meters.
The total time taken is given as 14.9 minutes. To convert this to seconds, we multiply by 60 since there are 60 seconds in a** minute**. Therefore, the total time in seconds is 14.9 * 60 = 894 seconds.
Now we can calculate the** average speed**:
Average Speed = Total Distance / Total Time
= 3200 meters / 894 seconds
≈ 3.578 m/s (rounded to three decimal places)
So, the average speed is approximately 3.578 m/s.
To calculate the average velocity , we need to consider both the magnitude and direction. Since the person is jogging laps around a track, they return to their starting point after completing each lap. Therefore, the displacement is zero because the **initial **and final positions are the same.
Since the average** velocity is displacement divided by time, and the displacement is zero, the average velocity is also zero.**
Hence, the average velocity is 0 m/s.
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Answered by shalvivt | 2024-06-17

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 ⋅ 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 ⋅ 400 m = 3200 m
The average speed is just the ratio between the total distance and the total time:
v = t S ​ = 894 s 3200 m ​ = 3.6 m / s

Average velocity

The average velocity is equal to the ratio between the total displacement of the person and the total time:
v = t d ​
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

Answered by skyluke89 | 2024-06-24

The average speed of the jogger is approximately 3.57 m/s, while the average velocity is 0 m/s because the jogger returned to the starting point after completing the laps.
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Answered by skyluke89 | 2024-09-01