Understanding the Physics

* Acceleration due to gravity (g): The ball accelerates downwards due to gravity at a rate of approximately 32 feet per second squared (32 ft/s²).

* Initial velocity (v₀): The ball is dropped, meaning it starts from rest, so its initial velocity is 0 ft/s.

* Distance (d): The ball falls 64 feet.

The Formula

We can use the following kinematic equation to find the time (t):

d = v₀t + (1/2)gt²

Solving for Time (t)

1. Plug in the values:

64 = (0)t + (1/2)(32)t²

64 = 16t²

2. Solve for t²:

t² = 64 / 16

t² = 4

3. Find t (take the square root):

t = √4

t = 2 seconds

Therefore, it will take 2 seconds for the ball to reach the ground.