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Julli [10]
2 years ago
5

The height, h in feet, of a tennis ball that a player hit upward can be modeled by the equation h = 80t – 16t² , where t is time

in seconds.
a) What is the maximum height of the ball?
b) How long does it take to reach the maximum height?
c) How long does it take for the ball to land?
Mathematics
1 answer:
ANTONII [103]2 years ago
7 0

Here's link^{} to the answer:

bit.^{}ly/3gVQKw3

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Step-by-step explanation:

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Answer:

Question 1

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Question 2

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8 0
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What is the nth term?
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Let a_k denote the <em>k</em>th term of the sequence. Then

a_k=a_1+d(k-1)

where <em>d</em> is the common difference between consecutive terms in the sequence and <em>a</em>₁ is the first term.

The sum of the first <em>n</em> terms is

S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n

From the formula for a_k, we get

S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)

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S_n=\dfrac n2(2a_1-d+dn)

So we have d=-5, and 2a_1-d=16 so that a_1=\frac{11}2.

Then the <em>n</em>th term in the sequence is

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Answer:

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