With no calculators allowed on the PMDC MDCAT, physics questions test proportional shortcuts and trigonometric angles ($30^\circ, 45^\circ, 60^\circ$).

1. High-Speed Projectile Formulas

$$H = \frac{v_i^2 \sin^2\theta}{2g}, \quad T = \frac{2v_i \sin\theta}{g}, \quad R = \frac{v_i^2 \sin(2\theta)}{g}$$

Golden Proportional Rule: If initial velocity is doubled ($v_i \to 2v_i$), maximum height quadruples ($H \to 4H$), time of flight doubles ($T \to 2T$), and range quadruples ($R \to 4R$).

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