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Answer:
2. The airplane will crash into the ground after 5 seconds.
3. The domain of the function is [0,30] and range of the function is .
Step-by-step explanation:
2.
Ariana initial attempt is modeled by the function,
where, h is the height in feet and x is the time in seconds of the paper airplanes path.
If airplane crash into the ground, then ,
Equate each factor equal to 0.
Therefore the airplane will crash into the ground after 5 seconds.
3.
The height of the rocket in meters is modeled by the function shown below, where t is time in seconds.
The value of t must be positive because time can not be negative.
Find the zeros of the function.
The leading coefficient is negative, so the it is a downward parabola. Since the zeros of the function are 0 and 30, therefore the function is negative before 0 and after 30.
The height can not be negative, so the domain of the function is
The vertex of a downward parabola is the maximum point.
Vertex of a parabola,
Put t=15 it in the equation.
The range of the function is
Therefore the domain of the function is [0,30] and range of the function is .