a ball is dropped from a tower 122.5meters tall. how long does it take the ball to reach the ground?

To determine how long it takes for the ball to reach the ground, we can use the equation of motion for free-falling objects:

d = 0.5 * g * t^2

Where:
d = distance traveled (in this case, the height of the tower = 122.5 meters)
g = acceleration due to gravity (approximately 9.8 m/s^2)
t = time taken to reach the ground

Rearranging the equation, we get:

t = sqrt(2d / g)

Substituting the given values, we have:

t = sqrt(2 * 122.5 / 9.8)

Now we can calculate:

t = sqrt(245 / 9.8)
t = sqrt(25)
t = 5 seconds

Therefore, it takes approximately 5 seconds for the ball to reach the ground when dropped from a tower 122.5 meters tall.