Answer:
Average velocity = 82.22 km/h
Step-by-step explanation:
Average Velocity = (Total distance)/(Total time)
When the car was first driven for 1 h with a velocity of 100 km/h towards the south
Velocity = Distance/time
Distance = Velocity * time
Distance covered, D1 = 100 * 1 = 100 km
When the car was driven for 0.50 h with a velocity of 50 km/h towards the north
Distance = Velocity * time
Distance covered, D2 = 50 * 0.5 = 25 km
When the car was driven for 0.75 h with a velocity of 80 km/h towards the south
Distance = Velocity * time
Distance covered, D3 = 80 * 0.75 = 60 km
Total distance traveled = D1 + D2 + D3
Total distance traveled = 100 + 25 + 60
Total distance traveled = 185 km
Total time taken = 1 + 0.5 + 0.75
Total time taken = 2.25 h
Average velocity = Total distance/ total time
Average velocity = 185/2.25
Average velocity = 82.22 km/h