Car Jump Distance Calculator

Formula

The formula to calculate the Car Jump Distance (D) is:

\[ D = \frac{v^2 \cdot \sin(2\theta)}{g} \]

Where:

\(D\) is the jump distance (meters)
\(v\) is the initial velocity (m/s)
\(\theta\) is the launch angle (degrees)
\(g\) is the acceleration due to gravity (m/s², usually 9.81)

What is Car Jump Distance?

Car jump distance refers to the horizontal distance a car travels through the air when it is launched off a ramp or other elevated surface. This distance is influenced by factors such as the car’s initial velocity, the angle at which it is launched, and the acceleration due to gravity. Understanding and calculating the car jump distance is essential for designing stunts, ensuring safety, and optimizing performance in automotive sports and entertainment.

Example Calculation

Let's assume the following values:

Initial Velocity (v) = 20 m/s
Launch Angle (θ) = 30 degrees
Acceleration due to Gravity (g) = 9.81 m/s²

Using the formula to calculate the jump distance:

\[ D = \frac{20^2 \cdot \sin(2 \times 30)}{9.81} = \frac{400 \cdot \sin(60)}{9.81} \approx 35.3 \text{ meters} \]

The Car Jump Distance (D) is approximately 35.3 meters.