1. What is the Velocity Equation?

The velocity equation calculates the final velocity of an object in free fall from a certain height, neglecting air resistance. It's derived from the principle of conservation of energy.

2. How Does the Calculator Work?

The calculator uses the velocity equation:

Where:

• \( v \) — Final velocity (m/s)
• \( g \) — Gravitational acceleration (9.81 m/s² on Earth)
• \( h \) — Height (meters)

Explanation: The equation converts potential energy at height h to kinetic energy at impact.

3. Importance of Velocity Calculation

Details: Calculating impact velocity is important for physics experiments, safety calculations, engineering designs, and understanding motion principles.

4. Using the Calculator

Tips: Enter the height in meters. The value must be positive. The calculator assumes free fall in vacuum (no air resistance).

5. Frequently Asked Questions (FAQ)

Q1: Does this account for air resistance?
A: No, this is the theoretical maximum velocity in vacuum. Real-world objects reach terminal velocity due to air resistance.

Q2: What value of g is used?
A: Standard Earth gravity (9.81 m/s²). For other planets, use their respective gravitational acceleration.

Q3: Can this be used for objects thrown upward?
A: This calculates impact velocity for objects dropped from rest. For objects with initial velocity, more complex equations are needed.

Q4: How accurate is this for everyday objects?
A: Reasonably accurate for dense, compact objects from moderate heights. Less accurate for light or large objects where air resistance is significant.

Q5: What's the relationship between height and velocity?
A: Velocity increases with the square root of height - quadrupling the height doubles the impact velocity.