1. At an angle of 45 degrees: When a projectile is launched at an angle of 45 degrees, it achieves the maximum possible height. This is because at 45 degrees, the vertical component of the initial velocity is equal to the horizontal component. As a result, the projectile rises to the highest point before it starts descending due to gravity.
2. Angles below 45 degrees: As the angle of projection decreases from 45 degrees, the maximum height also decreases. This is because the vertical component of the initial velocity becomes smaller compared to the horizontal component. Consequently, the projectile doesn't rise as high as it would at 45 degrees.
3. Angles above 45 degrees: When the angle of projection increases beyond 45 degrees, the maximum height starts to decrease again. This is because the horizontal component of the initial velocity becomes larger compared to the vertical component, causing the projectile to spend more time traveling horizontally rather than vertically.
4. At an angle of 90 degrees: At an angle of 90 degrees, the projectile is launched straight vertically. In this case, the projectile doesn't travel horizontally, but it achieves the highest maximum height possible for the given initial velocity.
In summary, the maximum height of a projectile is directly proportional to the square of the sine of the angle of projection. The maximum height is achieved at an angle of 45 degrees, and it decreases for both angles below and above 45 degrees.
