1. What is the Velocity from Height Formula?

The velocity from height formula calculates the final velocity of an object falling from a certain height under constant gravitational acceleration, neglecting air resistance. This equation is derived from the conservation of energy principle.

2. How Does the Calculator Work?

The calculator uses the velocity formula:

Where:

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

Explanation: This formula assumes the object starts from rest and falls freely under gravity with no air resistance.

3. Importance of Velocity Calculation

Details: Calculating impact velocity is important in physics, engineering, safety analysis, and accident reconstruction to understand the forces involved in falls.

4. Using the Calculator

Tips: Enter height in meters and gravitational acceleration (default is Earth's gravity: 9.81 m/s²). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula account for air resistance?
A: No, this formula assumes a vacuum with no air resistance. In real-world conditions, air resistance would reduce the final velocity.

Q2: Can I use this for objects thrown upward?
A: This formula calculates the velocity when an object hits the ground after falling from height. For objects thrown upward, you would need to consider initial velocity.

Q3: What value should I use for gravity on other planets?
A: Use different gravitational constants: Moon (1.62 m/s²), Mars (3.71 m/s²), Jupiter (24.79 m/s²), etc.

Q4: How accurate is this calculation?
A: Very accurate in vacuum conditions. In atmosphere, accuracy decreases with increasing height due to air resistance.

Q5: Does the mass of the object affect the velocity?
A: No, in the absence of air resistance, all objects fall at the same rate regardless of mass (Galileo's principle).