Question

which statement makes an accurate comparison of the motions for objects c and d? (1 point) 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 d has an acceleration that is greater than the acceleration for c. objects c and d have different velocities but the same acceleration

Explanation:

To solve this, we analyze each option:

Option 1:

Velocity is a vector (speed + direction). If motions differ, velocity can’t be same. Also, acceleration depends on velocity change. Eliminate.

Option 2:

(Assuming motion graphs: For constant acceleration, slope of velocity - time graph is acceleration. If D’s slope (acceleration) is steeper than C’s, this is wrong. Eliminate.

Option 3:

If D’s velocity - time graph has a steeper slope (greater change in velocity over time) than C’s, D’s acceleration is greater. This matches.

Option 4:

If acceleration (slope) is same, velocity (position on graph) could differ. But the correct comparison here is about acceleration magnitude. Eliminate.

Answer:

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