SUMMARY
Cody and Megan's resultant displacement after walking 58 meters north and 32 meters west is calculated to be 66.24 meters. The calculation uses the Pythagorean theorem, where the equation (32m)^2 + (58m)^2 = c^2 determines the magnitude of the displacement. To fully understand their displacement, it is essential to calculate the direction using trigonometric functions, specifically to find the angle relative to the axes.
PREREQUISITES
- Understanding of the Pythagorean theorem
- Basic trigonometry, including sine and cosine functions
- Knowledge of vector components in two-dimensional space
- Familiarity with measuring angles in standard position
NEXT STEPS
- Learn how to calculate angles using trigonometric functions (e.g., tan, sin, cos)
- Study vector addition and subtraction in two dimensions
- Explore real-world applications of displacement in physics
- Understand the concept of resultant vectors and their significance
USEFUL FOR
This discussion is beneficial for students studying physics, particularly those focusing on vector analysis and displacement calculations. It is also useful for educators seeking to explain the application of trigonometry in real-world scenarios.