•A boy walks 10 km east in 2 hours and then 2.5 km west in 2 hour. Calculate the total average velocity of this boy?
•A car travels along a straight road to the East for 100 metres in 4 seconds, then go to the west for 50 metres in 1 second. Determine average speed and average velocity.
•A person walks 4 metres East in 1 second, then walks 3 metres North in 1 second. Determine average speed and average velocity.
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Answers
Answer:
(1)2.84km/hr
(2)10m/s
(3)2.5m/s
Explanation:
(1)let initial position of boy Xo= 0 KM
when he travel 10KM in east X1=10Km
when he travels 2.5 KM in west X2= 2.5 KM
total displacement = 10 - 2.5= 8.5KM
total time taken = 2+1 = 3 hours
average velocity = total displacement / time
average velocity = 8.5/3
average velocity = 2.84 km/h
(2)Distance = 100 meters + 50 meters = 150 meters
Time elapsed = 4 seconds + 1 second = 5 seconds
Average speed = Distance / time elapsed = 150 meters / 5 seconds = 30 meters/second.
Average velocity = Displacement / time elapsed = 50 meters / 5 seconds = 10 meters/second
(3)Distance = 4 meters + 3 meters = 7 meters
Time elapsed = 1 second + 1 second = 2 seconds.
Average speed = distance / time elapsed = 7 meters / 2 seconds = 3.5 meters/second
Average velocity = displacement / time elapsed = 5 meters / 2 seconds = 2.5 meters/second