A projectile launched at angle theta has its maximum range when theta equals
Correct answer: B. 45 degrees
- A. 30 degrees
- B. 45 degrees
- C. 60 degrees
- D. 90 degrees
Explanation
Range is proportional to sin 2 theta, which is maximum when 2 theta is 90 degrees, that is at 45 degrees, assuming level ground and no air resistance. Angles of 30 and 60 degrees give the same range as each other, since their doubles are supplementary. At 90 degrees the projectile goes straight up and the range is zero.
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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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