Motion of a Golf Ball A golf ball is hit with an initial velocity of 130 feet per second a...

Motion of a Golf Ball A golf ball is hit with an initial velocity of 130 feet per second at an inclination of 45° to the horizontal. In physics, it is established that the height h of the golf ball is given by the function

where x is the horizontal distance that the golf ball has traveled.

(a) Determine the height of the golf ball after it has traveled 100 feet.

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(b) What is the height after it has traveled 300 feet?

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(c) What is the height after it has traveled 500 feet?

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(d) How far was the golf ball hit?

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(e) Use a graphing utility to graph the function h = h(x).

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(f) Use a graphing utility to determine the distance that the ball has traveled when the height of the ball is 90 feet.

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(g) Create a TABLE with TblStart = 0 and ΔTbl = 25. To the nearest 25 feet, how far does the ball travel before it reaches a maximum height? What is the maximum height?

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(h) Adjust the value of ΔTbl until you determine the distance, to within 1 foot, that the ball travels before it reaches its maximum height.