Maximum Height of Projectile
- To find the maximum height reached by the projectile, we need to consider the motion of the projectile in two dimensions - horizontal and vertical.
- The maximum height is reached when the vertical component of the velocity becomes zero.
- At the maximum height, the vertical component of the velocity is zero, and the projectile is momentarily at rest before falling back down.
- The time taken to reach the maximum height can be calculated using the formula: time = (vertical component of initial velocity) / (acceleration due to gravity).
- Once the time to reach the maximum height is known, the maximum height can be calculated using the formula: height = (vertical component of initial velocity)^2 / (2 * acceleration due to gravity).

Explanation
- Given that the maximum range of the projectile is 2000m, we can determine the initial velocity and launch angle of the projectile using the range formula.
- By knowing the initial velocity, we can calculate the vertical and horizontal components of the velocity.
- Using the vertical component of the initial velocity, we can calculate the time taken to reach the maximum height.
- Finally, by plugging in the values into the height formula, we can find the maximum height reached by the projectile.
By following these steps and calculations, you can determine the maximum height reached by a projectile fired with some initial velocity.