SUMMARY
The net displacement of a person who walks 0.6 km east, then 500 meters south, and climbs 180 meters vertically is calculated using the Pythagorean theorem. The horizontal displacement is determined by combining the eastward and southward movements, resulting in a base of approximately 780 meters. The total displacement is then calculated by incorporating the vertical height of 180 meters, leading to a final displacement of approximately 1100 meters. The angles of elevation and horizontal displacement must also be considered for a complete understanding of the problem.
PREREQUISITES
- Understanding of the Pythagorean theorem
- Basic knowledge of vector displacement
- Familiarity with horizontal and vertical components of motion
- Ability to calculate angles in triangles
NEXT STEPS
- Study the Pythagorean theorem in three dimensions
- Learn about vector addition and displacement calculations
- Explore trigonometric functions related to angles in triangles
- Practice problems involving vertical and horizontal displacement
USEFUL FOR
Students in physics or mathematics, educators teaching vector displacement, and anyone looking to enhance their understanding of motion in three dimensions.