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?
It is D on Edgenuity for anyone who wants a simple answer
-16^2 +1000 > 300 for a long answer!
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300<-16t^2+1000
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?
To find the interval of time taken by the object to reach a height greater than 300 feet above the ground, we need to set up an inequality using the given formula.
The formula for the object's distance above the ground is given by: d = -16t^2 + 1000
We want to find the time duration when the height is greater than 300 feet, so we need to set up the inequality as follows:
d > 300
Substituting the formula for d, we have:
-16t^2 + 1000 > 300
Now, we can solve this inequality to find the interval of time taken by the object to reach a height greater than 300 feet.
when is height 300?
300<-16t^2+1000
-700<-16t^2
t<sqrt (700/16)