Question

Suppose a scientist were to drop a cannonball from the leaning tower of pisa from a height of 180 ft. which expression could be used to determine how long, in seconds, it would take the cannonball to hit the ground?

Answer 1

The answers are D, A, and 3.4s

Answer 2

The vertical height is h = 180 ft
The acceleration due to gravity is g = 32.2 ft/s²

Let t = the time for the cannonball to hit the ground.
Because the initial vertical velocity is zero (the ball is dropped), the formula to use is
h = (1/2)gt²

That is
t = √[(2h)/g]
= √[(2*180)/32.2]
= 3.344 s

Answer:
The formula is
`t= \sqrt{ (2h)/(g) }`, and the time is 3.344 s