Question

When do we get maximum range in a simple projectile motion?

(a) When θ = 45°

(b) When θ = 60°

(c) When θ = 90°

(d) When θ = 0°

The question was posed to me during an internship interview.

The doubt is from Simple Projectile Motion in chapter Motion in a Plane of Physics – Class 11

Answer 1

Correct option is (a) When θ = 45°

Easiest explanation: The formula for horizontal range is R = v^2(sin 2θ)/g. This will be maximum when sin 2θ = 1, which implies that 2θ = 90°, which in turn implies that θ = 45°. Hence the correct answer is when θ = 45°.