To find the man’s average speed and average velocity for the whole journey, we can start with some calculations.
Average Speed
Average speed is defined as the total distance traveled divided by the total time taken. In this case, the man walks:
- 7 km in 2 hours
- 2 km in 1 hour
So, the total distance traveled is:
Total Distance = 7 km + 2 km = 9 km
The total time taken is:
Total Time = 2 hours + 1 hour = 3 hours
Now, we can calculate the average speed:
Average Speed = Total Distance / Total Time = 9 km / 3 hours = 3 km/h
Average Velocity
Average velocity, on the other hand, is defined as the displacement divided by the total time taken. Since the man walks in the same direction:
Total Displacement = Total Distance = 9 km
The total time taken is the same as calculated earlier, which is 3 hours.
Now we can calculate the average velocity:
Average Velocity = Displacement / Total Time = 9 km / 3 hours = 3 km/h
Conclusion
Both the average speed and average velocity for the man’s journey are:
Average Speed = 3 km/h
Average Velocity = 3 km/h