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Scilla [17]
4 years ago
10

Solve (t - 3)2 = 6. The arrow is at a height of 48 ft after approximately _ sand after _s​

Mathematics
2 answers:
Karo-lina-s [1.5K]4 years ago
4 0

Answer: 0.55 & 5.45

Step-by-step explanation:

Slav-nsk [51]4 years ago
3 0

Answer:

The arrow is at a height of 48 ft after approximately <u>0.55</u> s  and after <u>5.45</u> s​

Step-by-step explanation:

The following information is missing:

<em>The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s? </em>

If the arrow is at a height of 48 ft and its initial velocity is 96 ft/s, then:

48 = 96*t - 16*t²

16*t² - 96*t + 48 = 0

16*(t² - 6*t + 3) = 0

t² - 6*t + 3 = 0

t² - 6*t + 3 + 6 = 0 + 6

t² - 6*t + 9 = 6

(t - 3)² = 6

t - 3 = √6

t - 3 = 2.45; t = 2.45 + 3; t = 5.45

or

t - 3 = -2.45; t = -2.45 + 3; t = 0.55

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