Car Jump Distance Calculator

A projectile physics model of a ramp jump: how far, how long, how high and how fast it lands, or how fast it must leave to clear a gap.

🚗 Car Jump Distance Calculator
Launch speed (v)
1100
Gap to cross (D)
m
1100
Launch angle (θ)
deg
089
Ramp lip above landing surface (h₀)
m
-510
Gravity (g)
m/s²
Jump distance
—
Jump distance (ft)
—
Air time
—
Peak above ramp lip
—
Peak above landing
—
Distance to peak
—
Landing speed
—
Landing speed (km/h)
—
Landing angle below horizontal
—
Horizontal speed
—
Launch vertical speed
—
Launch speed used
—

Required launch speed
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Required speed (km/h)
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Required speed (mph)
—
Gap (ft)
—
Air time
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Peak above ramp lip
—
Peak above landing
—
Distance to peak
—
Landing speed
—
Landing speed (km/h)
—
Landing angle below horizontal
—
Horizontal speed
—
Launch vertical speed
—

Safety notice: this is an idealised physics model with no air drag, no suspension and no vehicle rotation. It is for education only and is not for stunt planning. Real jumps are dangerous.

🚗 What is a Car Jump Distance Calculation?

Car jump distance is the horizontal distance a vehicle travels through the air after it leaves a ramp or an edge. In physics it is a textbook projectile problem: once the wheels leave the surface, only gravity acts on the car in the idealised model, so the path is a parabola set by three numbers, the launch speed, the launch angle and the height of the launch point above the landing surface. This calculator turns those numbers into the jump distance, the air time, the peak height and the speed and angle at touchdown, and it can run the problem backwards to find the speed needed to cover a gap of a given width.

The same maths covers many everyday situations: a ball rolling off a table, a skateboarder leaving a ramp, a motorcycle in a physics demonstration, water leaving a hose, or a long jumper. Students use it to see how range depends on the square of speed, why 45 degrees is best on level ground, and how a raised launch point stretches the jump. Engineers and film-effects researchers use the same equations in simulation tools. A ramp lip that is higher than the landing surface adds air time, which adds distance, while a landing that is higher than the lip needs more speed or a steeper angle just to arrive.

It is important to be clear about what the model leaves out. It has no air drag or lift, which become noticeable at highway speeds. It treats the car as a point, so it ignores pitching and rotation, the shape of the ramp, the rolling of the wheels, and the compression of the suspension. It also says nothing about the forces on the occupants at touchdown, which are what make real jumps dangerous. The results are for learning physics only and are not for stunt planning; anyone who attempts a real jump faces serious risk of injury, and this tool is not a substitute for professional engineering, rehearsal and safety measures.

Two modes are included. Jump distance takes a launch speed and angle and returns the range and flight details, with a unit selector for m/s, km/h and mph. Gap speed takes a gap width and returns the lowest launch speed that lands at the far edge. Each mode shows the flight path and a second chart that shows how the range, or the required speed, changes with the launch angle, so you can see where the best angle sits.

📐 Formula

R  =  v cosθ × t    where   t  =  ( v sinθ + √( v² sin²θ + 2 g h0 ) ) / g
v = launch speed (m/s); km/h is divided by 3.6 and mph is multiplied by 0.44704
θ = launch angle above the horizontal (degrees)
h0 = height of the ramp lip above the landing surface (m); use 0 for level ground and a negative value if the landing is higher
g = gravitational acceleration, 9.80665 m/s² by default
Level ground: R = v² sin( 2θ ) / g and t = 2 v sinθ / g
Peak above the lip: ( v sinθ )² / ( 2 g ), reached after v sinθ / g seconds
Landing: speed = √( ( v cosθ )² + ( v sinθ − g t )² ), angle below horizontal = atan( ( g t − v sinθ ) / ( v cosθ ) )
Speed for a gap D: v² = g D² / ( 2 cos²θ ( h0 + D tanθ ) ), valid when h0 + D tanθ is positive
Example: v = 20 m/s, θ = 20°, h0 = 0 gives R = 26.22 m and t = 1.395 s

📖 How to Use This Calculator

Steps

1
Choose a mode. Jump distance finds the range for a launch speed. Gap speed finds the lowest launch speed that clears a gap of the width you enter.
2
Enter the launch and the heights. Type the launch speed (change the unit selector to km/h or mph first if needed) or the gap, then the launch angle and the ramp lip height above the landing surface. Use 0 for level ground.
3
Read the physics results. Check the distance, air time, peak height and the landing speed and angle, then look at the flight path chart and the angle chart. Remember that this is a no-drag teaching model.

💡 Example Calculations

Example 1 — Level Ground, 20 m/s at 20 Degrees

v = 20 m/s, θ = 20°, h0 = 0 m

1
v cosθ = 18.79 m/s and v sinθ = 6.84 m/s
2
Air time t = 2 × 6.84 / 9.80665 = 1.395 s
3
Range R = 18.79 × 1.395 = 26.22 m, peak above the lip = 6.84² / ( 2 × 9.80665 ) = 2.39 m, landing speed 20.00 m/s at 20.0°
Jump distance = 26.22 m, air time = 1.395 s
Try this example →

Example 2 — Launch from a Lip 2 m Above the Landing

v = 25 m/s, θ = 15°, h0 = 2 m

1
v cosθ = 24.15 m/s and v sinθ = 6.47 m/s
2
t = ( 6.47 + √( 6.47² + 2 × 9.80665 × 2 ) ) / 9.80665 = 1.578 s
3
R = 24.15 × 1.578 = 38.11 m (versus 31.87 m from level ground). Peak above the landing is 4.13 m, and it lands at 25.77 m/s, 20.5° below horizontal.
Jump distance = 38.11 m, air time = 1.578 s
Try this example →

Example 3 — Speed Entered in km/h

v = 90 km/h, θ = 15°, level ground

1
90 km/h ÷ 3.6 = 25 m/s
2
R = 25² × sin( 30° ) / 9.80665 = 31.87 m
3
Air time = 1.320 s and the peak above the lip is 2.13 m. The landing speed is 90.0 km/h, the same as the launch.
Jump distance = 31.87 m, air time = 1.320 s
Try this example →

Example 4 — Speed to Cross a 15 m Gap on Level Ground

D = 15 m, θ = 25°, h0 = 0 m

1
v² = 9.80665 × 15² / ( 2 cos²25° × 15 tan25° ) = 192.0
2
v = 13.86 m/s = 49.9 km/h = 31.0 mph
3
Air time is 1.194 s, the peak is 1.75 m, and the landing speed equals the launch speed on level ground. This is the bare minimum in a no-drag model.
Required launch speed = 13.86 m/s (49.9 km/h)
Try this example →

Example 5 — A 10 m Gap with the Landing 3 m Lower

D = 10 m, θ = 10°, h0 = 3 m

1
h0 + D tan10° = 3 + 1.763 = 4.763 and 2 cos²10° = 1.9397
2
v = √( 9.80665 × 100 / ( 1.9397 × 4.763 ) ) = 10.30 m/s = 37.1 km/h = 23.0 mph
3
Air time is 0.986 s, and it lands at 12.84 m/s, 37.8° below horizontal: the drop makes the landing steeper than the launch.
Required launch speed = 10.30 m/s (37.1 km/h)
Try this example →

❓ Frequently Asked Questions

How do you calculate how far a car jumps off a ramp?+
Treat the car as a projectile. Horizontal speed is v cos(theta), the air time comes from solving the vertical motion, and the range is horizontal speed times air time. On level ground R = v squared sin(2 theta) / g. At 20 m/s and 20 degrees it is 26.22 m.
What is the formula for projectile range with an initial height?+
With lip height h0 above the landing surface, t = (v sin(theta) + sqrt((v sin(theta)) squared + 2 g h0)) / g and R = v cos(theta) t. A 2 m drop at 25 m/s and 15 degrees increases the range from 31.87 m to 38.11 m.
What launch angle gives the longest jump?+
On level ground, 45 degrees. If the car lands lower than it launches, the best angle is below 45 degrees. If the landing is higher than the lip, the best angle is above 45 degrees. The angle chart in the calculator shows the peak for your speed and drop.
How fast must a car go to clear a gap?+
Solve v squared = g D squared / (2 cos squared(theta) (h0 + D tan(theta))). For a 15 m gap at 25 degrees on level ground the minimum ideal speed is 13.86 m/s, about 49.9 km/h or 31.0 mph. Real situations need far more margin.
How is air time computed for a ramp jump?+
Air time is the time for the vertical motion to return to the landing level: t = (v sin(theta) + sqrt((v sin(theta)) squared + 2 g h0)) / g. At 20 m/s and 20 degrees from level ground it is 1.395 s.
How high does the car go above the ramp?+
The peak above the lip is (v sin(theta)) squared / (2 g). At 20 m/s and 20 degrees that is 2.39 m. Add the lip height h0 to get the peak above the landing surface.
How fast is the car going when it lands?+
Horizontal speed is unchanged, vertical speed is the launch value minus g t. The landing speed is the square root of the sum of squares. For a launch on level ground it equals the launch speed. For a 2 m drop at 25 m/s it is 25.77 m/s.
Can I enter the speed in km/h or mph?+
Yes. In Jump mode choose km/h or mph in the unit selector, then type the speed. The number is read in that unit and converted internally. 90 km/h is 25 m/s and gives a range of 31.87 m at 15 degrees on level ground.
Does the car's mass matter for the jump distance?+
No. Without air resistance the path depends only on launch speed, launch angle, gravity and launch height. Mass matters for the forces and energy involved but not for the trajectory in this model.
Why is this not a safe way to plan a real jump?+
The model ignores drag, lift, pitch and rotation of the vehicle, ramp shape, suspension, and the landing impact forces, which are the dangers in practice. Real jumps seriously injure people. Use this page for learning physics only.
What is the landing angle and why does it matter?+
It is the angle of the velocity below the horizontal at touchdown, atan(vertical speed / horizontal speed). A steeper landing angle means a larger share of the speed is vertical. At a 3 m drop with a 10 degree launch, the angle is about 37.8 degrees.

How do you calculate how far a car jumps off a ramp?

Treat the car as a projectile. Horizontal speed is v cos(theta), the air time comes from solving the vertical motion, and the range is horizontal speed times air time. On level ground R = v squared sin(2 theta) / g. At 20 m/s and 20 degrees it is 26.22 m.

What is the formula for projectile range with an initial height?

With lip height h0 above the landing surface, t = (v sin(theta) + sqrt((v sin(theta)) squared + 2 g h0)) / g and R = v cos(theta) t. A 2 m drop at 25 m/s and 15 degrees increases the range from 31.87 m to 38.11 m.

What launch angle gives the longest jump?

On level ground, 45 degrees. If the car lands lower than it launches, the best angle is below 45 degrees. If the landing is higher than the lip, the best angle is above 45 degrees. The angle chart in the calculator shows the peak for your speed and drop.

How fast must a car go to clear a gap?

Solve v squared = g D squared / (2 cos squared(theta) (h0 + D tan(theta))). For a 15 m gap at 25 degrees on level ground the minimum ideal speed is 13.86 m/s, about 49.9 km/h or 31.0 mph. Real situations need far more margin.

How is air time computed for a ramp jump?

Air time is the time for the vertical motion to return to the landing level: t = (v sin(theta) + sqrt((v sin(theta)) squared + 2 g h0)) / g. At 20 m/s and 20 degrees from level ground it is 1.395 s.

How high does the car go above the ramp?

The peak above the lip is (v sin(theta)) squared / (2 g). At 20 m/s and 20 degrees that is 2.39 m. Add the lip height h0 to get the peak above the landing surface.

How fast is the car going when it lands?

Horizontal speed is unchanged, vertical speed is the launch value minus g t. The landing speed is the square root of the sum of squares. For a launch on level ground it equals the launch speed. For a 2 m drop at 25 m/s it is 25.77 m/s.

Can I enter the speed in km/h or mph?

Yes. In Jump mode choose km/h or mph in the unit selector, then type the speed. The number is read in that unit and converted internally. 90 km/h is 25 m/s and gives a range of 31.87 m at 15 degrees on level ground.

Does the car's mass matter for the jump distance?

No. Without air resistance the path depends only on launch speed, launch angle, gravity and launch height. Mass matters for the forces and energy involved but not for the trajectory in this model.

Why is this not a safe way to plan a real jump?

The model ignores drag, lift, pitch and rotation of the vehicle, ramp shape, suspension, and the landing impact forces, which are the dangers in practice. Real jumps seriously injure people. Use this page for learning physics only.

What is the landing angle and why does it matter?

It is the angle of the velocity below the horizontal at touchdown, atan(vertical speed / horizontal speed). A steeper landing angle means a larger share of the speed is vertical. At a 3 m drop with a 10 degree launch, the angle is about 37.8 degrees.