A velocity versus time graph shows two lines sloping upward from the origin. The line with the higher slope is labeled, C, and the line with smaller slope is labeled, D.

Question

Which statement makes an accurate comparison of the motions for objects C and D?

(1 point)
Responses

Objects C and D have different velocities but the same acceleration.
Objects C and D have different velocities but the same acceleration.

Object D has an acceleration that is greater than the acceleration for C.
Object D has an acceleration that is greater than the acceleration for C.

Objects C and D have different accelerations but the same velocity throughout the motion.
Objects C and D have different accelerations but the same velocity throughout the motion.

Object C has an acceleration that is greater than the acceleration for D.

Answer 1

To analyze the given options, we need to consider the characteristics of a velocity versus time graph.

In such a graph:

• The slope of the line represents the acceleration of the object.
• A steeper slope indicates a larger acceleration, while a less steep slope indicates a smaller acceleration.

Given that line C has a higher slope than line D, we can conclude that:

• Object C has a greater acceleration than object D.

With that understanding, the accurate statement is:

Object C has an acceleration that is greater than the acceleration for D.