An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the formula d = - 16t2 + 1,000. Use an inequatily equation to find for the interval of time taken by the object to reach the height greater than 300 feet above the ground

Question

Xzavier Ayala

Mathematics

26 February, 00:05

An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the formula d = - 16t2 + 1,000. Use an inequatily equation to find for the interval of time taken by the object to reach the height greater than 300 feet above the ground

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Answers (2)

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Gianna Camacho · Answer 1

Find where it equals 300

300=-16t²+1000

minus 1000 from both sides

-700=-16t²

divide both sides by - 16

43.75=t²

square root both sides

6.614=t

it took at 6.614 seconds to get to a height of 300 ft above the ground

Aryana Yates · Answer 2

-16t^2 + 1000 > 300

16t^2 < 1000 - 300

16t^2 < 700

t^2 < 700/16

t^2 < 43.75

t < 6.61