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

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

Linear Function, Constant Function, Linear Function

Answer 1

To analyze the scenario, we will break down the motion of the item into three phases:

1. Lifting Phase: The item is being lifted by the elevator at a constant speed to a height of 10 feet. In this phase, the height increases linearly with respect to time. Therefore, this phase can be described by a Linear Function.

2. Static Phase: Once the item reaches 10 feet, it remains still for 5 seconds. During this period, the height of the item remains constant at 10 feet, which can be described by a Constant Function.

3. Catapult Phase: When the item catapults off the 10-foot platform, it follows a projectile motion. The height of the item decreases in a parabolic manner until it reaches the ground. This motion can be described by a Quadratic Function.

Given this breakdown, the correct order of function types that describes the scenario is:

Linear Function, Constant Function, Quadratic Function.