Projectile Range on Level Ground
Easyprojectile motion
A ball is launched from level ground at 20 m/s, 30° above the horizontal. Neglecting air resistance, its horizontal range is most nearly:
- A35.3 m
- B20.4 m
- C40.8 m
- D70.6 m
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Answer: A. 35.3 m
Equation: range on level ground R = v² sin 2θ / g. Values: v = 20 m/s, θ = 30°, g = 9.81 m/s². Step 1: sin 60° = 0.866. Step 2: R = 400 × 0.866/9.81 = 35.3 m. 40.8 m uses sin 90°; 20.4 m uses sin θ instead of sin 2θ; 70.6 m doubles the range.
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