SUMMARY
A boulder rolls down a hill with a constant acceleration of 3.69 m/s² for a duration of 7.72 seconds, resulting in a calculated distance of 91.64 meters. The correct formula used is d = v0 * t + 0.5 * a * t², where initial velocity (v0) is zero. Misinterpretations regarding the acceleration value and time duration were clarified, emphasizing the importance of using the given parameters directly from the problem statement.
PREREQUISITES
- Understanding of kinematic equations, specifically d = v0 * t + 0.5 * a * t²
- Knowledge of constant acceleration concepts in physics
- Familiarity with units of measurement for acceleration (m/s²) and time (seconds)
- Basic algebra skills for manipulating equations
NEXT STEPS
- Study the derivation and applications of kinematic equations in physics
- Explore real-world examples of constant acceleration scenarios
- Learn about the effects of friction and incline on rolling objects
- Investigate advanced topics in dynamics, such as energy conservation in rolling motion
USEFUL FOR
Students studying physics, educators teaching kinematics, and anyone interested in understanding motion under constant acceleration.