To determine which statement best describes the motions represented in the graph you referenced, we can consider Newton’s second law of motion, which states that \( F = ma \) (force equals mass times acceleration).
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If C and D have the same mass, then D must have a greater force acting on it. This statement suggests that if the masses are the same but D has a greater force, it would be incorrect if both are depicted as having the same force in the graph.
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If C and D have the same force acting on them, then D must have more mass. This statement implies that if they have the same force, D would have to have more mass to result in the same acceleration as C, which is not necessarily true since we don't have the details from the graph.
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If C and D have the same acceleration, then D must have a greater starting velocity. This statement implies that velocity relates directly to acceleration, but having the same acceleration doesn't dictate starting velocities without knowing the time involved, so this isn't definitive.
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If C and D have the same force acting on them, then D must have a greater acceleration. This statement cannot be true under Newton's second law, as the relationship \( F=ma \) suggests that if forces are equal, their accelerations must also be equal if masses are the same.
Given these interpretations, the most accurate reasoning may depend on knowing the specifics of what's shown in the graph for determining relationships between mass, force, and acceleration. If the only information relies on the principles of Newton's laws, none of the statements fully conveys a truth without insight on the graph.
In the absence of specific information from the graph, I would infer:
- If C and D have the same mass and the same force, they must also have the same acceleration.
For a rational conclusion, more information is necessary from the graph being referenced to select the best statement.