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?
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 [tex]t= \sqrt{ \frac{2h}{g} } [/tex], and the time is 3.344 s
