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Derek kicks a soccer ball off the ground and in the air, with an initial velocity of 31 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the …

Derek kicks a soccer ball off the ground and in the air, with an initial velocity of 31 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the …
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1 vote
Derek kicks a soccer ball off the ground and in the air, with an initial velocity of 31 feet per second. Using the formula H(t) = -16t2 + vt + s, what is the maximum height the soccer ball reaches?

asked
User Fabian Lurz
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8.1k points

2 Answers

3 votes
Apply the maximum condition,


H'(t)=0\Rightarrow t=v/32

Find the height at this time,


H(v/32)=(v^2)/(64)+s
answered
User Rance
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7.6k points
7 votes

Answer:

The answer is C Proof Below

Explanation:

Derek kicks a soccer ball off the ground and in the air, with an initial velocity-example-1
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User Shane Van Wyk
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8.1k points
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