What domain makes sense for the function in this context?
Unitary Method
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Units and Measurements
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Instructions
This item has Parts A and B.
Please scroll to the bottom of the page to answer each part.
Use the information to answer the following questions.
The function g(t) = -16t2 + vt + h represents the height of an object, g, in feet above the ground in relation to the time, t, in seconds, since the object was thrown into the air with an initial velocity of v feet per second at an initial height of h feet.
A model rocket is launched off the ground at an initial velocity of 80 feet per second.
Part A: Write a function that can be used to describe the flight of the model rocket.
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A.
g(t) = -16t2 + 80t
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B.
g(t) = -16t2 + 80
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C.
g(t) = -16t2 + t + 80
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D.
g(t) = -16t2 + 80t + 80
Part B: What domain makes sense for the function in this context?
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A.
all positive numbers
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B.
all real numbers
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C.
0 ≤ t ≤ 5
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D.
0 ≤ t ≤ 100
Given
g(t) = -16t2 + vt + h
Also initial velocity v = 80 ft/sec and launched of the ground so initial height
h = 0
Therefore
g(t) = -16t2 + 80t
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