To determine how long it will take for a ball to fall from the top of a building 74 ft tall to ground level, we can use the formula:
t = √(2*d/g)
where t is the time in seconds, d is the distance in feet, and g is the acceleration due to gravity (approximately 32.2 ft/s^2 on Earth).
Plugging in the values:
t = √(2*74 / 32.2)
t ≈ 3.63 seconds
So the ball will take approximately 3.63 seconds to fall to the ground level.
It's important to note that this calculation assumes that there's no air resistance and the ball is dropped vertically. In reality, air resistance and the ball's trajectory would affect the time it takes to fall.