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
Linear Function, Constant Function, Linear Function
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Answer 1

To analyze the problem, let's break it down into three distinct segments based on the item's height over time:

1. Linear Function: The item is lifted by the elevator at a constant speed to a height of 10 feet. This means that the height increases linearly with time as the item is lifted.

2. Constant Function: After reaching the height of 10 feet, the item remains at that height for five seconds. This means that the height does not change during this time, which is a constant function.

3. Quadratic Function: When the item catapults off the 10-foot platform and falls back to the ground, the height of the item as it falls can be described by a quadratic function. This is because the motion of the item in free fall is affected by gravitational acceleration, resulting in a parabolic trajectory.

So, the correct order that describes the scenario is:

• Linear Function (while being lifted),
• Constant Function (while stationary at 10 feet),
• Quadratic Function (while falling).

Therefore, the correct response is: Linear Function, Constant Function, Quadratic Function.