Question

Four projectiles are thrown with the same initial speed at angles \(27^\circ, 36^\circ, 43^\circ, 51^\circ\) with the horizontal. The range of projectiles will be the largest for the projectile fired at angle:

• A. \(27^\circ\)
• B. \(36^\circ\)
• C. \(43^\circ\)
• D. \(51^\circ\)

Hint:

Maximum range occurs at \(45^\circ\); choose the angle closest to it when exact value is not given.

Answer 1

The Correct Option is C

Concept: Range of a projectile \[ R = \frac{u^2 \sin 2\theta}{g} \]
Step 1: \[ \sin 2\theta \text{ is maximum when } 2\theta = 90^\circ \Rightarrow \theta = 45^\circ \]
Step 2: The angle closest to \(45^\circ\) is \(43^\circ\).