A man walks 7 km in 2 hours and 2 km in1 hour in the same direction a) What is man's average speed for the whole journey? b) What is man's average velocity for the whole journey?

Given: A man walks 7 km in 2 hrs
Later he walks 2 km in 1 hour

We need to find the average speed and average velocity

Solution:

We know that
Speed = Total distance / Total time

Total distance travelled by man = 7 km + 2 km = 9 km

Total time taken = 2 + 1 = 3 hrs

Average speed = 9/3 = 3 km/hour.

Velocity = Total displacement / Total time

Average velocity will be the same as average speed in this case since there is no direction change mentioned.

Therefore Total Displacement = Total Distance
average velocity = average speed = 3 km/hour.
Hence

Average speed = 3 km/hr.
Average velocity = 3 km/hr.

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