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F = ma (Final Problems)
Dimensional Analysis
FMA-2024-24 · 2024 F = ma (AAPT)

2024 F = ma Exam — Question 24

When a projectile falls through a fluid, it experiences a drag force proportional to the product of its cross-sectional area, the fluid density ρf , and the square of its speed. Suppose a sphere of density ρs ≫ ρf of radius R is dropped in the fluid from rest. When the projectile has reached half of its terminal velocity, which of the following is its displacement proportional to?
Source: Question 24, 2024 F = ma Exam, © 2024 American Association of Physics Teachers (AAPT) and the U.S. Physics Team. Adapted by PhysicsTrainer: reformatted into a separate question and answer choices for online multiple-choice practice; any shared setup from nearby questions is repeated here. Not affiliated with or endorsed by AAPT or the U.S. Physics Team.