The range of the projectile is the same for two angles which are mutually:
Correct answer: C. Complementary
- A. Orthogonal
- B. Supplementary
- C. Complementary
- D. Sum is 450
Explanation
Complementary angles are angles that add up to 90 degrees (e.g., 30 degrees and 60 degrees). In the context of projectile motion, if you launch a projectile at two complementary angles, their ranges will be the same. This is because: sin(180∘−2θ). This relationship holds true due to the properties of the sine function.
This question appeared on the ETEA MDCAT 2006 paper, which you can sit online with every answer explained.
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About Projectile Motion
Projectile motion combines uniform horizontal motion with vertically accelerated motion under gravity, assuming air resistance is neglected. Questions use the components of initial velocity to find time of flight, maximum height, horizontal range and position, while distinguishing projectile motion from general circular or one dimensional motion.
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