SUMMARY
The runner's distance from the starting point after 11.5 seconds is calculated to be 44 meters. This conclusion is derived from the area under the velocity-time graph, which includes the areas of two rectangles and two triangles. The calculations involve summing the areas up to 11 seconds and then adding the area for the additional 1.5 seconds, which is determined to be 6 meters. The final distance is confirmed as 44 meters after recognizing the contribution of the triangular area for the last segment of time.
PREREQUISITES
- Understanding of velocity-time graphs
- Knowledge of calculating areas of geometric shapes (rectangles and triangles)
- Familiarity with basic kinematic equations
- Ability to interpret graphical data
NEXT STEPS
- Study the principles of kinematics in physics
- Learn how to calculate areas under curves in velocity-time graphs
- Explore advanced topics in graph interpretation
- Practice problems involving distance calculations from velocity graphs
USEFUL FOR
Students studying physics, particularly those focusing on kinematics, as well as educators looking for examples of velocity-time graph analysis.
