At which angle the range of the projectile is maximum____________________?
Correct answer: A. 45
- A. 45
- B. 60
- C. 30
- D. none
Explanation
The range of a projectile on level ground is R = u² sin 2θ/g. This is maximum when sin 2θ = 1, so 2θ = 90° and θ = 45°. The common mistake is choosing 60° or 30° because their angles look large, but complementary angles give the same range and only 45° gives the maximum.
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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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