Answer :
Final answer:
To find the man's average velocity, divide his total displacement (-4200 m) by the total time (1.4167 hours), yielding an average velocity of -0.82 m/s.
Explanation:
This question is asking for the man's average velocity, which is his total displacement divided by the total time. Displacement is a vector quantity, meaning it has both magnitude and direction. The man walked south (which we can call the negative direction) and then north (the positive direction).
First, we calculate the distance the man walked south. He walked for 60.0 minutes at 2.00 m/s. Since there are 60 seconds in a minute, that equals 2.00 m/s * 60 * 60 = 7200 m to the south, which we'll call -7200 m since it's in the negative direction. Then he walked 3000 m to the north, or +3000 m. His total displacement is -7200 m + 3000 m = -4200 m.
Next, we calculate the total time. He walked for 60.0 minutes (or 1 hour) and then another 25 minutes (or 0.4167 hours). So the total time is 1.0 hour + 0.4167 hour = 1.4167 hours.
Finally, we find the average velocity by dividing the total displacement by the total time: -4200 m / 1.4167 hour = -2963.7 m/hour. However, we typically measure velocity in m/s, so we convert this to -0.82 m/s (rounded to two decimal places). Therefore, the man's average velocity during his entire motion was -0.82 m/s.
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Final answer:
The average velocity of the man during his entire motion is approximately -68.57 m/min.
Explanation:
The average velocity of the man during his entire motion can be calculated by finding the total displacement and dividing it by the total time taken.
First, let's find the total displacement. The man walks south for 60.0 minutes at a speed of 2.00 m/s, so his displacement in the south direction is given by:
Displacement = Speed × Time = 2.00 m/s × 60.0 minutes = 120.0 m
Next, the man turns around and walks north for 25.0 minutes, covering a distance of 3000 m. His displacement in the north direction is 3000 m.
Now, we can find the total displacement:
Total Displacement = Displacement South - Displacement North = 120.0 m - 3000 m = -2880.0 m (negative sign indicates the direction)
Finally, we can calculate the average velocity:
Average Velocity = Total Displacement / Total Time = -2880.0 m / (60.0 minutes + 25.0 minutes) = -68.57 m/min (approx.)
