The world's highest fountain of water is located, appropriately enough, in Fountain Hills, Arizona. The fountain rises to a height of 560 ft. (a) What is the initial speed of the water? (b) How long does it take for the water to reach the top of the fountain?

A. The relationship between the height and initial velocity is given in the equation,

d = ((Vi) ² - (Vf) ²) / 2g

Vf for this case is zero and g is equal to 32.2 ft/s². Substituting,

560 ft = (Vi) ² / (2) (32.2)

The value of Vi is equal to 189.91 ft/s.

b. For the time, the equation is,

d = 0.5gt²

Substituting,

560 ft = 0.5 (32.2) (t²)

The value of t is 5.90 s.