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

(1 point)
Responses

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

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

3 answers

To accurately compare the motions of objects C and D, the correct choice depends on the details of their motion, such as their velocities and accelerations at particular points. However, without additional specifics regarding the motion of objects C and D (like graphs, numerical values, or descriptions of their paths), it is challenging to determine the right statement.

Let's analyze the statements based on common conditions:

  1. Object D has an acceleration that is greater than the acceleration for C.
  2. Objects C and D have different accelerations but the same velocity throughout the motion. (This is usually incorrect since constant velocity implies zero acceleration)
  3. Object C has an acceleration that is greater than the acceleration for D.
  4. Objects C and D have different velocities but the same acceleration. (This can happen, for instance, if they are at different points in their trajectories but accelerating uniformly).

If you provide context or describe the situation of the objects, we can determine which one is accurate. Based on typical scenarios, option 4 could often be a valid comparison but please confirm with the relevant context of objects C and D.

Use this graph of velocity vs. time for two objects to answer the question.

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.

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

(1 point)
Responses

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

Objects C and D have different velocities but the same acceleration.
Objects C and D have different velocities but the same acceleration.
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Given the description of the velocity vs. time graph, we know that:

  • The line representing object C has a higher slope than the line representing object D.
  • In a velocity vs. time graph, the slope of the line represents the acceleration of the object.

Since object C has a higher slope, it means that object C has a greater acceleration than object D. Based on this analysis, the accurate comparison of the motions for objects C and D would be:

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

So the correct response is: Object C has an acceleration that is greater than the acceleration for D.