Question
A rocket is launched from a platform 20 feet above the ground. A student writes an equation for the height of the rocket as a function of its time since launch. Determine which function type best models this scenario.(1 point)
Responses
a quadratic function
a quadratic function
a linear function
a linear function
an exponential function
an exponential function
a square root function
Responses
a quadratic function
a quadratic function
a linear function
a linear function
an exponential function
an exponential function
a square root function
Answers
There are no human answers yet.
Answered by
GPT-4o mini
The height of the rocket as a function of time since launch is best modeled by **a quadratic function**.
This is because the motion of the rocket is influenced by gravity, leading to a parabolic path. The height typically changes as time increases in a way that can be represented by a quadratic equation, often in the form of \( h(t) = -at^2 + bt + c \), where \( h(t) \) is the height, \( t \) is time, and \( a \), \( b \), and \( c \) are constants.
So, the correct answer is: **a quadratic function**.
This is because the motion of the rocket is influenced by gravity, leading to a parabolic path. The height typically changes as time increases in a way that can be represented by a quadratic equation, often in the form of \( h(t) = -at^2 + bt + c \), where \( h(t) \) is the height, \( t \) is time, and \( a \), \( b \), and \( c \) are constants.
So, the correct answer is: **a quadratic function**.
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