Final answer:
The acceleration of a ball when a same amount of force is applied to it depends on the mass of the ball. A ball with a lower mass will accelerate more as compared to a ball with higher mass under the same force.
Step-by-step explanation:
The reason one ball would accelerate more than the other when pushed with the same amount of force depends directly on the mass of the balls according to Newton's Second Law of motion which states that Force equals mass times acceleration (F = ma). Thus, when the same force is applied, a ball with a lower mass (option d) would accelerate more than a ball with a higher mass. The weight of the balls (option a) also comes into play here as weight is a direct outcome of mass (Weight = mass x gravity). Size (option c) and shape can influence how a ball moves due to air resistance, but this is not directly related to acceleration under the same force. Forces (option b) applied are the same as per your question, so they cannot be a factor for different acceleration.
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