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.

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

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

(d) How far was the golf ball hit?

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

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

(g) Create a TABLE with Tb1Start = 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?

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

Transcribed Image Text:

-32x2 h(x) 1302