Two projectiles are projected at angle of 200 and 700 with same velocity which one have longer range?
Correct answer: B. Both projectiles have the same range
- A. The projectile fired at 200 has a longer range
- B. Both projectiles have the same range
- C. The projectile fired at 700 has a longer range
- D. None of these
Explanation
Both projectiles have the same range because they are launched at complementary angles (200 and 700) with the same initial velocity. The formula for the range of a projectile is R = (v2sin(2θ))/g, where θ is the angle of launch. The sine function has a property where sin(2x) = sin(1800 - 2x), leading complementary angles to produce the same sine value, and thus the same range. Therefore, options stating that one angle results in a longer range are incorrect due to this principle.
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