Examine the line on the graph for Objects C and D. What is different regarding the slopes of these objects?

Question

(1 point)
Responses

Both of these objects have different final positions, but share the same initial position. It can be noted that Object D has a constant, positive slope. Object C lacks a constant slope, yet this object is still headed in a positive direction.
Both of these objects have different final positions, but share the same initial position. It can be noted that Object D has a constant, positive slope. Object C lacks a constant slope, yet this object is still headed in a positive direction.

Both of these objects have different final positions, but share the same initial position. It can be noted that Object D has a constant, negative slope. Object C lacks a constant slope, this object is still headed in a positive direction.
Both of these objects have different final positions, but share the same initial position. It can be noted that Object D has a constant, negative slope. Object C lacks a constant slope, this object is still headed in a positive direction.

Both of these objects have different final positions, but share the same initial position. It can be noted that Object D has a constant, positive slope. Object C has a constant slope, yet this object is still headed in a negative direction.
Both of these objects have different final positions, but share the same initial position. It can be noted that Object D has a constant, positive slope. Object C has a constant slope, yet this object is still headed in a negative direction.

Both of these objects have the same final positions, and share the same initial position. It can be noted that Object D has a constant, positive slope. Object C lacks a constant slope, yet this object is still headed in a positive direction.

Answer 1

To determine the differences regarding the slopes of Objects C and D, we need to analyze the information given in the responses.

Based on the options provided:

1. Object D has a constant, positive slope which suggests it is moving at a steady rate in a positive direction.
2. Object C lacks a constant slope, indicating that its movement is not uniform. It may be accelerating or decelerating but is still moving in a positive direction according to the responses.

Considering the slopes:

• Object D maintains a constant positive slope (indicating uniform positive velocity).
• Object C does not have a constant slope (indicating a variable velocity), but is still moving in a positive direction overall.

Thus, the correct response would be an assertion of these characteristics – where Object D has a consistent rate of positive displacement, while Object C varies in its motion but remains positively directed.

The first option best describes this situation: "Both of these objects have different final positions, but share the same initial position. It can be noted that Object D has a constant, positive slope. Object C lacks a constant slope, yet this object is still headed in a positive direction."

This captures the essence of the differences between the slopes of Objects C and D accurately.