g A projectile is fired from the ground at an angle of θ = π 4 toward a tower located 600 m away. If the projectile has an initial speed of 120 m/s, find the height at which it strikes the tower

The projectile strikes the tower at a height of 354.824 meters.

Explanation:

The projectile experiments a parabolic motion, which consist of a horizontal motion at constant speed and a vertical uniformly accelerated motion due to gravity. The equations of motion are, respectively:

Horizontal motion

Vertical motion

Where:

, - Initial and current horizontal position, measured in meters.

, - Initial and current vertical position, measured in meters.

- Initial speed, measured in meters per second.

- Gravitational acceleration, measured in meters per square second.

- Time, measured in seconds.

The time spent for the projectile to strike the tower is obtained from first equation:

If , , and , then:

Now, the height at which the projectile strikes the tower is: (, , and )

The projectile strikes the tower at a height of 354.824 meters.