Question:
Before formulating the laws of motion, Galileo separated mathematical from empirical study. He repeatedly rolled a ball down a groove, measured the times for different fractions of the groove, and—after hundreds of repetitions—concluded that the distance travelled is proportional to the square of time. Which label best characterizes Galileo’s method?
Before formulating the laws of motion, Galileo separated mathematical from empirical study. He repeatedly rolled a ball down a groove, measured the times for different fractions of the groove, and—after hundreds of repetitions—concluded that the distance travelled is proportional to the square of time. Which label best characterizes Galileo’s method?
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Whenever an investigator repeats observations many times to firm up a relation, the method is best described as {statistical/experimental} rather than purely theoretical.
Updated On: Aug 12, 2025
- Speculation
- Theoretical analysis
- Generalization
- Statistical analysis
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The Correct Option is D
Solution and Explanation
Galileo's method involved performing numerous experiments and measuring results to derive conclusions. The key steps in his process were:
- Rolling a ball down a groove.
- Measuring the times taken for different distances.
- Repeating the experiment hundreds of times to gather substantial data.
- Concluding that the distance traveled is proportional to the square of time based on consistent empirical evidence.
Given these steps, Galileo's method is best characterized by Statistical analysis. This is because he relied on repeated measurements and data collection to reach a conclusion, rather than mere speculation, theoretical models, or generalization.
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