SOLUTION: How do I find the maximum height of a baseball which is hit with an upward velocity of 90 feet per second when the initial height of the ball was 3 feet?
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Question 102317: How do I find the maximum height of a baseball which is hit with an upward velocity of 90 feet per second when the initial height of the ball was 3 feet? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! How do I find the maximum height of a baseball which is hit with an upward velocity of 90 feet per second when the initial height of the ball was 3 feet?
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Use the equation: height = -16t^2 + 90t + 3; where t is the time in seconds
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Use the vertex formula x = -b/(2a)
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In our equation a = -16 and b = 90
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t = -90)/2(-16)
t = -90/-32
t = +2.8125 sec when the ball reaches max height
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Substitute 2.8125 for t in the original equation to find the height:
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h = -16(2.8125^2) + 90(2.8125) + 3
h = -16(7.91) + 253.125 + 3
h = -126.56 + 253.125 + 3
h = 129.565 ft is the max height
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