At what angle with the horizontal should a projectile be fired with the escape velocity to enable it escape from gravitational pull of the earth ?

Options

A. Less than `45^(@)`
B. `45^(@)`
C. More than `45^(@)`
D. Any angle

Explanation

To determine the angle at which a projectile should be fired with escape velocity to escape the gravitational pull of the Earth, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Escape Velocity**:
Escape velocity is the minimum speed needed for an object to break free from the gravitational attraction of a celestial body without any additional propulsion. For Earth, the escape velocity is approximately 11.2 km/s.

2. **Recognize Independence from Angle**:
The escape velocity is a scalar quantity and does not depend on the angle of projection. This means that regardless of the angle at which the projectile is fired, as long as it is fired with the escape velocity, it will have enough speed to overcome Earth's gravitational pull.

3. **Conclusion**:
Since the escape velocity is independent of the angle, the projectile can be fired at any angle with respect to the horizontal. Therefore, the angle can be 0 degrees (horizontal), 90 degrees (vertical), or any angle in between.

4. **Final Answer**:
The projectile can be fired at any angle with the horizontal when using escape velocity to escape Earth's gravitational pull.