SOLUTION: In his first time at bat in a game at Fenway Park, Cecil Fielder hits a baseball toward left center field. The distance, d, and the height, h, can be modeled by the equation h = -.

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Question 156126: In his first time at bat in a game at Fenway Park, Cecil Fielder hits a baseball toward left center field. The distance, d, and the height, h, can be modeled by the equation h = -.002d2+ .18d + 4.
a) What is the highest point the ball reaches?

b) How far from homeplate is the ball when it reaches its highest point?

c) Which player is more likely to catch the ball, the shortstop or the center fielder?

Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
The height of a baseball hit by Cecil Fielder is modeled by:
h%28d%29+=+-0.002d%5E2%2B0.18d%2B4
First find the maximum height. This can be done by finding the d-coordinate of the vertex of the parabola represented by the given equation: d+=+-b%2F2a where: b = 0.18 and a = -0.002
d+=+%28-0.18%29%2F2%28-0.002%29
a) highlight%28d+=+45%29feet. This is the maximum height. Now substitute this into the given equation to find the corresponding distance when the ball reaches this height.
h%2845%29+=+-0.002%2845%29%5E2%2B0.18%2845%29%2B4
h%2845%29+=+-0.002%282025%29%2B8.1%2B4
h%2845%29+=+-4.05%2B8.1%2B4
b) highlight%28h%2845%29+=+8.05%29feet.
c) Sorry, but I never played baseball, so I don't the answer here!