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

Mathematics

Dominic Thomas

10 August, 22:52

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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Jaelynn Mcguire · 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

Desirae Lawrence · Answer 2

-16t^2 + 1000 > 300

16t^2 < 1000 - 300

16t^2 < 700

t^2 < 700/16

t^2 < 43.75

t < 6.61