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Find the range, maximum height, time of flight, and impact speed of a projectile from its launch speed, angle, and height, with the trajectory plotted, on Earth or other worlds.
Also covers: Range calculator · Maximum height calculator · Time of flight calculator · Trajectory calculator
45° gives the longest range from ground level.
Above the landing point; 0 for level ground.
Range
63.7323 m
Lands after 3.6052 s, having reached 15.933 m.
Time of flight
3.6052 s
Maximum height
15.933 m
at t = 1.803 s
Impact speed
25 m/s
45° below horizontal
Horizontal velocity
17.678 m/s
constant
Initial vertical velocity
17.678 m/s
Gravity
9.80665 m/s²
Trajectory (axes scaled separately)
Working
Ignores air resistance, which shortens real trajectories, especially for light or fast objects.
The launch speed, the angle above horizontal, and the launch height above the landing point (0 for level ground).
Earth by default, or the Moon, Mars, or Jupiter to see how gravity changes the flight.
Range, time of flight, maximum height and when it's reached, impact speed and angle, a plot of the trajectory, and the working.
45° when launching and landing at the same height, ignoring air resistance. From a raised launch point, the best angle is a little below 45°.
The horizontal velocity vₓ = v₀ cos θ stays constant; the vertical velocity vᵧ = v₀ sin θ changes at rate g. Time of flight solves h₀ + vᵧt − ½gt² = 0, range = vₓ × t, and maximum height = h₀ + vᵧ² / 2g.
No. Like textbook problems, it assumes no air resistance; real objects, especially light or fast ones, fall shorter.
No. Every calculation runs in your browser.
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