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Calculate trajectory, range, and flight time for any projectile
Horizontal Range
40.77 m
Maximum Height
10.19 m
Total Flight Time
2.88 s
Time to Apex
1.44 s
Impact Velocity
20.00 m/s
Horizontal (vx)
14.14 m/s
Vertical (vy)
14.14 m/s
45° launch angle gives maximum range on flat ground - a fundamental principle of ballistics
Basketball free throws use around 52° launch angle for optimal arc into the hoop
Soccer goalkeepers can kick a ball over 70m with the right angle and initial velocity
SpaceX rockets use precise trajectory calculations based on projectile motion equations
Tennis serves can reach 250+ km/h, traveling as projectiles with air resistance
Olympic archers account for gravity drop over 70m - arrows fall about 1.3m at competition distance
Water fountains use projectile physics - the tallest shoots water 170m high
Volcanic bombs can travel 5km from the vent, following parabolic trajectories