1. The solution for the equation is -16t² + 64t > 0
2. The interval notation for the equation is (0, 4)
Given,
The height of the building = 400 feet
A ball is thrown straight up from the top of the building.
The initial velocity of the ball = 64 feet/second
The height of the object is modeled by, s(t) = -16t² + 64t + 400
1. Solution for the equation:
s(t) > 400
So,
-16t² + 64t + 400 > 400
Add -400 to both sides
ie, -16t² + 64t + 400 - 400 > 400 - 400
We get,
-16t² + 64t > 0
2. Now find the interval notation for the equation:
-16t² + 64t > 0
Here, 64/16 = 4
So,
-16t (t - 4) > 0
Now,
t = 0 and t - 4 = 0
The interval notation for the equation is (0, 4)
Learn more about interval notation here:
brainly.com/question/28743524
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