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

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

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

Constant Function, Quadratic Function, Linear Function
Constant Function, Quadratic Function, Linear Function
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Answer 1

To analyze the scenario systematically:

1. Linear Function (Lifting in Elevator): When the item is being lifted by the elevator at a constant speed, the height increases linearly with time. This can be represented as a linear function because the relationship between time and height is direct and maintains a constant rate of change.

2. Constant Function (Item at Rest): Once the elevator reaches the height of 10 feet and the item remains at that height for 5 seconds, the height does not change over time. This part of the motion can be represented by a constant function, as the height remains fixed regardless of the time elapsed.

3. Quadratic Function (Item Catapults Off): When the item catapults off the platform and falls back to the ground, its height as a function of time describes a parabolic path (due to the effects of gravity). This can be modeled by a quadratic function, as the height will be a function of time squared (taking into account the initial height and acceleration due to gravity).

In summary, the sequence of functions representing the scenario is:

1. Linear Function (while the elevator lifts the item)
2. Constant Function (while the item is held at rest)
3. Quadratic Function (while the item is falling)

So, the correct answer is:

Linear Function, Constant Function, Quadratic Function.