Question Detail
Question
A projectile is launched on level ground. Its horizontal range R is maximum when the launch angle θ₀ is
Correct Answer
Option C is the correct answer.
Detailed Explanation
The range equation is R = (v₀² sin 2θ₀)/g. The sine function reaches its maximum value of 1 when its argument is 90°. Therefore, the range is maximum when 2θ₀ = 90°, which gives θ₀ = 45°.
Hint
Look at the range formula. For a given initial speed, which angle makes the trigonometric part (sin 2θ) as large as possible?