Final answer:
A quadratic function models a free-fall ride by incorporating constant acceleration. The motion of an object in free fall is one-dimensional and has constant acceleration of magnitude g, which is the acceleration due to gravity. A quadratic function represents this type of motion because when an object is in free fall, the position, velocity, and acceleration can all be expressed as quadratic functions of time.
Step-by-step explanation:
A quadratic function models a free-fall ride by incorporating constant acceleration. The motion of an object in free fall is one-dimensional and has constant acceleration of magnitude g, which is the acceleration due to gravity. A quadratic function represents this type of motion because when an object is in free fall, the position, velocity, and acceleration can all be expressed as quadratic functions of time.
For example, the position of an object in free fall can be represented by the equation y = gt^2 + v0t + y0, where y is the vertical displacement, g is the acceleration due to gravity, t is time, v0 is the initial velocity, and y0 is the initial position.
Therefore, the correct answer is b. By incorporating constant acceleration.