Formula and Method for Car Jump Distance
Once a car's wheels leave a launch ramp, it becomes a projectile: the engine can no longer push it forward, and (ignoring air resistance) gravity is the only force acting on it. Its horizontal velocity component, v·cos(θ), stays constant for the whole flight, while its vertical velocity component, v·sin(θ), is slowed, stopped, and reversed by gravity at a constant rate g = 9.80665 m/s². This calculator uses that standard projectile-motion model to find the horizontal jump distance, flight time, peak height, and landing speed from the launch speed, ramp angle, and the height difference between the ramp and the landing surface.
Deriving the flight time and distance
Measuring height y upward from the ramp, the car's vertical position at time t is y(t) = v·sin(θ)·t − ½·g·t². If the landing surface sits a height h below the ramp (h is positive for a drop, negative if the landing is higher), the car lands when y(t) = −h. Rearranging gives the quadratic ½·g·t² − v·sin(θ)·t − h = 0, which solves to t = [v·sin(θ) + √((v·sin(θ))² + 2gh)] / g. The horizontal jump distance is then simply D = v·cos(θ)·t — speed times time, since horizontal velocity never changes in flight. The same trajectory also gives the peak height above the ramp, (v·sin(θ))²/(2g), and the landing speed, found from the horizontal speed and the vertical speed at touchdown, v·sin(θ) − g·t.
How angle and height change the distance
For a landing at the same height as the ramp (h = 0), distance is maximized at a 45° launch angle — that is the classic textbook result. A landing that sits below the ramp gives the car extra time to fall before it reaches ground level, which stretches the horizontal distance and shifts the best angle to somewhat less than 45°, since a flatter, faster trajectory now covers more ground during that extra falling time. A landing above the ramp height is only reachable up to the car's peak height; beyond that height the car simply cannot get there regardless of speed or angle, and the calculator will flag the input as unreachable.
Real-world caveats
This model is idealized classical mechanics and leaves out effects that matter to an actual stunt: aerodynamic drag slows a real car in flight, energy lost to ramp friction and suspension compression at takeoff reduces the effective launch speed, and the car's rotation (nose-up or nose-down pitch) in the air changes how and where it actually touches down. Real ramp jumps are engineered with instrumented test runs, scale models, and large safety margins — treat this calculator's output as a theoretical estimate for learning and planning, never as a guarantee for an actual jump.