Question Detail
Question
The Range of projectile will be minimum if angle of projectile is --- and maximum when angle of projectile is ---
Correct Answer
Option A is the correct answer.
Detailed Explanation
For a given initial speed, the range R = (u² sin 2θ)/g. The range is minimum when sin 2θ is minimum. sin 2θ is minimum (zero) when 2θ = 0° or 180°, so θ = 0° or 90°. At 0°, the projectile is launched horizontally and lands immediately (if launched from ground, range is zero). At 90°, it goes straight up and down, range zero. The range is maximum when sin 2θ is maximum (=1), which occurs when 2θ = 90°, so θ = 45°.
Hint
Consider the formula for range and how it varies with the launch angle.