Question

The range of the particle when launched at an angle of 15° with the horizontal is 1.5 km. What is the range of the projectile when launched at an angle of 45° to the horizontal?

• A. 1.5 km
• B. 3.0 km
• C. 6.0 km
• D. 0.75 km

Hint:

The range of a projectile is maximum at a launch angle of 45°.

Answer 1

The Correct Option is B

Step 1: Range equation for projectile.
The range \( R \) of a projectile launched with velocity \( v \) at an angle \( \theta \) is given by: \[ R = \frac{v^2 \sin(2\theta)}{g} \] where \( g \) is the acceleration due to gravity.

Step 2: Compare ranges at different angles.
At 15°, the range is 1.5 km. When the angle is increased to 45°, the range will increase because the sine function increases as the angle approaches 45°. Thus, the range at 45° is 3.0 km.
Thus, the correct answer is (2).