An item is being lifted by an elevator at a constant speed to a height of 10 feet. The item does not move for five seconds then catapults off the 10-foot platform and back to the ground. Compare the height of the item to the time passed in seconds. Determine the correct types of functions that describes the scenario in the correct order.(1 point)

Question

Responses

Linear Function, Constant Function, Quadratic Function
Linear Function, Constant Function, Quadratic Function

Quadratic Function, Constant Function, Linear Function
Quadratic Function, Constant Function, Linear Function

Linear Function, Constant Function, Linear Function
Linear Function, Constant Function, Linear Function

Constant Function, Quadratic Function, Linear Function

Answer 1

To analyze the scenario, let's break down the item’s motion:

1. Lifting phase: The item is lifted by the elevator at a constant speed to a height of 10 feet. This can be described by a linear function, as the height increases at a constant rate over time.

2. Resting phase: Once the item reaches 10 feet, it remains stationary for 5 seconds. This is best represented by a constant function since the height does not change during this time, remaining at 10 feet.

3. Catapult phase: When the item catapults off the 10-foot platform and falls to the ground, its motion can be modeled by a quadratic function (specifically a downward-opening parabola) since the falling motion under the influence of gravity is parabolic.

Given this analysis, the correct order of the functions that describe the scenario is:

Linear Function, Constant Function, Quadratic Function

So the answer is: Linear Function, Constant Function, Quadratic Function.