Question 511584: suppose the ball was 2.74 feet above ground when Josh hit it, and that it reached a maximum height of approximately 116.3 feet when it was approximately 215.3 feet away from where he hit the ball. The ball lands after traveling a ground distance of approximately 433.1 feet. find the other root?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! suppose the ball was 2.74 feet above ground when Josh hit it, and that it reached a maximum height of approximately 116.3 feet when it was approximately 215.3 feet away from where he hit the ball. The ball lands after traveling a ground distance of approximately 433.1 feet. find the other root?
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Vertex: (215.3,116.3)
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The x-coordinate of the vertex is at the midpoint between the roots.
One root is 433.1-215.3 = 217.8 to the right of 215.3.
The other root is 217.8 to the left of 215.3 or 215.3-217.8 = -2.5
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left root 215.3-217.8 = -2.5
right root 215.3+217.8 = 433.1
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Cheers,
Stan H.
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