Answer:
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.