How do I calculate velocity in my physics-based game when a character jumps?

Calculating Jump Velocity

Formula

To calculate the jump velocity of a character in a physics-based game, you can use the following formula:

Velocity (v) = sqrt(2 * g * h)

Where:

• g - Acceleration due to gravity (approximately 9.81 m/s² on Earth).
• h - Maximum height the character can jump.

Example Implementation

float CalculateJumpVelocity(float height) {
    const float gravity = 9.81f;
    return sqrt(2 * gravity * height);
}

Useful Resources

• Velocity Calculator — Simple velocity equation: velocity = distance / time.
• What is the difference between speed and velocity? - for How Things Fly — Explains the concepts of speed and velocity.
• What Is the Formula for Velocity? — Detailed coverage of the velocity formula.
• From force to velocity: What is this wizardry? — Insights into the relationship between force and velocity.
• Velocity in Math: Definition, Equation & Problems - Lesson — Comprehensive guide on velocity calculations.