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fedora87
09.03.2021 •
Mathematics
A rock is thrown upward from the top of a 112-foot high cliff overlooking the ocean at a speed of 96 feet per second. The rock's helght above ocean can be modeled by the equation H(t) = - 16t ^ 2 + 96t + 112 . What is the maximum height in feet, that the rock will reach? Do not include units in your answer
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Ответ:
Ответ:
256 feet
Step-by-step explanation:
To find the maximum height, we have to find the vertex of the parabola, which is formed by the situation.
First, find the axis of symmetry using -(b/2a). This will give us the x value of the vertex.
Plug in b into the equation:
-(b/2a)
-(96 / 2(-16))
-(96 / -32)
-(-3)
= 3
Now, plug in 3 as x into the given equation, to find the maximum height that the rock will reach:
H(t) = -16t² + 96t + 112
H(3) = -16(3²) + 96(3) + 112
H(3) = 256
So, the maximum height that the rock will reach is 256 feet
Ответ:
= 27.2727% decrease
Step-by-step explanation:
hope this helps