Question
Two balls are hurled at a constant rate and a consistent angle from the top of a 35-foot-tall building. The preceding scatterplot represents the number of seconds it took for each ball to reach the ground from a certain height. Each point represents a piece of data collected from each throw. For example, (4,9) represents that after 4 seconds a ball will be 9 feet in the air. Which model is the best fit for this data?
(1 point)
Responses
linear
linear
quadratic
quadratic
exponential
exponential
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(1 point)
Responses
linear
linear
quadratic
quadratic
exponential
exponential
Skip to navigation
Answers
GPT-4o mini
Based on the description you've provided, the motion of balls being hurled from a height under the influence of gravity is best modeled by a **quadratic function**.
When an object is thrown, its height as a function of time typically follows a parabolic path due to the constant acceleration acting on it (the acceleration due to gravity). The relationship between the height and time in such cases is generally not linear or exponential, but rather quadratic.
So, the best fit for this data would be a **quadratic model**.
When an object is thrown, its height as a function of time typically follows a parabolic path due to the constant acceleration acting on it (the acceleration due to gravity). The relationship between the height and time in such cases is generally not linear or exponential, but rather quadratic.
So, the best fit for this data would be a **quadratic model**.