45 km east and turned around and went 90 m west. Distance and displacement

To calculate the distance and displacement in this scenario, we can break it down as follows: 1. **Distance**: Distance is the total length of the path taken regardless of direction. - The initial movement is 45 km to the east. - The second movement is 90 m to the west. - To convert 45 km to meters (since 1 km = 1000 m), we have: \[ 45 \text{ km} = 45,000 \text{ m} \] - The total distance traveled is: \[ 45,000 \text{ m} + 90 \text{ m} = 45,090 \text{ m} \] 2. **Displacement**: Displacement is the straight-line distance from the starting point to the ending point, along with the direction. - The starting point is at 0 m (origin). - After moving 45,000 m east, the position is at +45,000 m. - After moving 90 m west, the position becomes: \[ 45,000 \text{ m} - 90 \text{ m} = 44,910 \text{ m} \text{ (east)} \] - Thus, the displacement is: \[ 44,910 \text{ m} \text{ (east)} \] ### Summary: - **Total Distance**: 45,090 m - **Displacement**: 44,910 m east