Projectile Range, Height, and Flight Time

Level-ground kinematics: range R = v^2 sin(2 theta)/g, max height H = v^2 sin^2(theta)/(2g), flight time t = 2 v sin(theta)/g. An 80 ft/s stream at 45 degrees reaches 199 ft out and 50 ft up in still air; the range peaks at 45 degrees and complementary angles (30 and 60) give the same reach but different arcs - the trade between reach, height, and coverage a nozzle operator or sprinkler layout makes. Air resistance is NEGLECTED, so a real stream falls short - this is the still-air upper bound. Launch height, wind, and stream break-up are separate. A planning estimate; field conditions govern.

R = v^2 sin(2 theta)/g; H = v^2 sin^2(theta)/(2g); t = 2 v sin(theta)/g; g = 32.174 ft/s^2. Range peaks at 45 deg; complementary angles give equal range.

The level-ground projectile relations R = v^2 sin(2 theta)/g, H = v^2 sin^2(theta)/(2g), t = 2 v sin(theta)/g (standard kinematics), by name.

The projectile relations are standard published kinematics; the launch speed and angle are the user's inputs.

Estimate. AHJ and licensed professional govern.

Field names used by the API: velocity_fps, angle_deg, range_ft, max_height_ft, flight_time_s

• Range/height/time R = v^2 sin(2 theta)/g, H = v^2 sin^2(theta)/(2g), t = 2 v sin(theta)/gkinematics
• Optimal angle range peaks at 45 deg; complementary angles give equal rangekinematics
• No drag still-air upper bound; air resistance shortens a real stream, launch height/wind are separatescope of this tile