A bullet fired at an angle of `30^@` with the horizontal hits the ground 3.0 km away. By adjusting its angle of projection, can one hope to hit a target 5.0 away? Assume the muzzle speed to be fixed and neglect air resistance.

Explanation

To determine if a bullet fired at a fixed muzzle speed can hit a target 5.0 km away after already hitting a target 3.0 km away at an angle of 30 degrees, we can follow these steps:

### Step 1: Understand the Range Formula
The range \( R \) of a projectile launched at an angle \( \theta \) with an initial speed \( u \) is given by the formula:
\[ R = \frac{u^2 \sin(2\theta)}{g} \]
where \( g \) is the acceleration due to gravity (approximately \( 9.81 \, \text{m/s}^2 \)).
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