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11 June, 05:04

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?

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  1. 11 June, 05:29
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    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.
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