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

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

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

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

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

Answer 1

To analyze the scenario, we can break it down into three parts based on the behavior of the item:

1. Lifting by the Elevator: While the elevator is moving the item to a height of 10 feet at a constant speed, the height of the item can be described by a linear function, as height increases uniformly with time.

2. Item at Rest on the Platform: Once the item reaches the height of 10 feet, it remains there for 5 seconds. During this period, the height remains constant, which can be represented by a constant function.

3. Item Catapulting Off the Platform: After the 5 seconds, the item is catapulted off the platform and falls to the ground. The height of the item over time in free fall can be described by a quadratic function since it follows the shape of a parabolic trajectory (based on the physics of gravity).

Putting this all together, the order of the functions that describe the height of the item compared to time passed is:

1. Linear Function (lifting)
2. Constant Function (at rest)
3. Quadratic Function (falling)

Therefore, the correct response is:

Linear Function, Constant Function, Quadratic Function.