Answer:
(a) The projectile takes approximately 4.420 seconds to reach the water, (b) The horizontal scope of the projectile is 1591.2 meters, (c) The remaining height to descend after 2 seconds of being launched is 63.624 meters.
Explanation:
The projectile experiments a parabolic motion, where horizontal speed remains constant and accelerates vertically due to the gravity effect. Let consider that drag can be neglected, so that kinematic equation are described below:
Where:
,
- Initial horizontal and vertical position of the projectile, measured in meters.
,
- Initial horizontal and vertical speed of the projectile, measured in meters per second.
- Time, measured in seconds.
- Gravitational acceleration, measured in meters per square second.
,
- Current horizontal and vertical position of the projectile, measured in meters.
Given that ,
,
,
and
, the kinematic equations are, respectively:
(a) If , the time taken for the projectile to reach the water is:
The projectile takes approximately 4.420 seconds to reach the water.
(b) The horizontal scope is the horizontal distance done by the projectile before reaching the water. If , the horizontal scope of the projectile is:
The horizontal scope of the projectile is 1591.2 meters.
(c) If , the height that remains to descend is:
The remaining height to descend after 2 seconds of being launched is 63.624 meters.