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 catapult off the 20 foot platform and back to the ground compare the height of the item to the time passed in seconds

Question

Constant function, quadratic function, linear function
Linear function, constant function, quadratic function
Quadratic function, constant function, linear function
Linear function, constant function, linear function

Answer 1

To analyze the scenario you described, we can break it down into distinct phases:

1. Lifting the Item: The item is being lifted by the elevator at a constant speed to a height of 10 feet. This part of the motion represents a linear function because it involves a steady increase in height over time.

2. Holding the Item: The item does not move for five seconds at the height of 10 feet. During this interval, the height of the item remains constant. This is represented by a constant function since there is no change in height during this period.

3. Catapulting Off the Platform: The item catapults off the 20-foot platform and falls to the ground. The motion of the falling item can be modeled by a quadratic function due to the effects of gravity, which causes the item to accelerate downwards.

With this analysis, we can summarize the phases in terms of the types of functions associated with height as a function of time:

• First phase (lifting): Linear function
• Second phase (holding): Constant function
• Third phase (falling): Quadratic function

Based on this breakdown, the appropriate answer is:

Linear function, constant function, quadratic function.