Here's how to solve this problem:
1. Understand the Physics
* Free Fall: The ball is in free fall, meaning the only force acting on it is gravity.
* Constant Acceleration: Gravity causes a constant acceleration of 9.8 m/s² downwards.
* Initial Velocity: The ball is dropped, so its initial velocity is 0 m/s.
2. Use a Kinematic Equation
We can use the following kinematic equation:
d = v₀t + (1/2)at²
Where:
* d = distance (443 meters)
* v₀ = initial velocity (0 m/s)
* t = time (what we want to find)
* a = acceleration due to gravity (9.8 m/s²)
3. Solve for Time
* Plug in the values: 443 = (0)t + (1/2)(9.8)t²
* Simplify: 443 = 4.9t²
* Divide both sides by 4.9: 90.4 = t²
* Take the square root of both sides: t ≈ 9.5 seconds
Therefore, the ball will hit the ground in approximately 9.5 seconds.
