A bus travels 80 km due south in 2 hours. It then travels 100 km due west in 3 hours. What is the average velocity of the bus?
To find the average velocity of the bus, we need to calculate the total displacement and divide it by the total time taken.
1. Calculate the total displacement:
- The bus travels 80 km due south and 100 km due west.
- Since south is in the opposite direction of north, we can consider it as a negative displacement.
- The displacement due south is -80 km.
- The displacement due west is -100 km.
- Adding the two displacements together, we get a total displacement of: -80 km - 100 km = -180 km.
2. Calculate the total time taken:
- The bus travels for 2 hours due south and 3 hours due west.
- The total time taken is: 2 hours + 3 hours = 5 hours.
3. Calculate the average velocity:
- Average velocity = total displacement / total time taken.
- Plugging in the values, we get: -180 km / 5 hours = -36 km/h.
Therefore, the average velocity of the bus is -36 km/h (southwest direction).