A car is driven for 1.00 h with a velocity of 100 km/h towards the south, then for 0.50 h with a velocity of 50 km/h towards the north, and finally for 0.75 h with a velocity of 80 km/h towards the south. Find the car's average velocity.

Average velocity = 82.22 km/h

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