At a diving competition, divers jump off a 64 foot high cliff. solve for how long it will take the diver to hit the water. show your work and explain the steps you used to solve.

In order to answer this item without any other given, we have to assume that the diver is in a free-fall motion. The relationship between the time and the distance can be determined through the equation,

       d = Vot + 0.5gt²

Vo is the initial velocity (which is equal to zero for free-fall), g is the acceleration due to gravity and t is time. 

Convert the given height in meters for consistency of the units. 
    d = (64 foot)(1 m/ 3.28 ft) = 19.51 m

Substituting the known values,
    19.51 = 0.5(9.8)(t²)

Divide both sides of the equation by 0.5(9.8)
   t² = 19.51/(0.5)(9.8) = 3.98

Then, get the square-root of both sides. This operation gives us 1.9955 seconds or equal to 2 seconds.