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. Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?

Respuesta :

Answer:

[tex]-16t^2 + 1000>300[/tex]

[tex]t\in (9.01,\infty)[/tex]

Step-by-step explanation:

We are given the following in the question:

[tex]d = -16t^2 + 1000[/tex]

where d is the distance of an object above the ground and t is in seconds.

We have to find the time interval such that distance is greater than 300 feet above the ground.

[tex]d > 300\\d = -16t^2 + 1000>300\\-16t^2>-1300\\t^2 > 81.25\\t > \sqrt{81.25}\\t > 9.013\\\Rightarrow t\in (9.01,\infty)[/tex]

is the required time interval.

Answer:

D

Step-by-step explanation:

Edg 2020