SUMMARY
The discussion focuses on calculating the time ratio of a rock falling from a 100m cliff, specifically comparing the time taken to fall the first 50m to the time taken for the second 50m. The key equations involved include the equations of motion under constant acceleration due to gravity, specifically using \( s = ut + \frac{1}{2}gt^2 \). The initial velocity is zero, and the acceleration is \( g = 9.81 \, \text{m/s}^2 \). The conclusion is that the time taken for the first 50m is less than the time taken for the second 50m, leading to a time ratio of 1:√3.
PREREQUISITES
- Understanding of kinematic equations in physics
- Basic knowledge of gravitational acceleration (9.81 m/s²)
- Familiarity with concepts of free fall and motion under gravity
- Ability to solve quadratic equations
NEXT STEPS
- Study the kinematic equations of motion in detail
- Learn about free fall and its implications in physics
- Explore the concept of acceleration due to gravity in different environments
- Practice solving problems involving motion under gravity
USEFUL FOR
Students studying physics, educators teaching kinematics, and anyone interested in understanding motion under gravity.