SUMMARY
A helicopter traveling upward at 69 m/s drops a package from a height of 500 meters. To determine the time it takes for the package to hit the ground, the equation of motion X = 1/2 at² + Vt is utilized, where 'a' is the acceleration due to gravity (9.8 m/s²), 'V' is the initial velocity (69 m/s), and 't' is the time in seconds. The total time includes the time taken for the package to ascend before it starts descending and the time taken to fall the total distance to the ground. The final calculation results in a total time of approximately 8 seconds.
PREREQUISITES
- Understanding of kinematic equations
- Basic knowledge of physics concepts such as velocity and acceleration
- Familiarity with gravitational acceleration (9.8 m/s²)
- Ability to solve quadratic equations
NEXT STEPS
- Study kinematic equations in detail
- Learn how to calculate the maximum height reached by an object in motion
- Explore the concept of free fall and its applications
- Practice solving problems involving projectile motion
USEFUL FOR
Students studying physics, educators teaching kinematics, and anyone interested in understanding motion under the influence of gravity.