1. What is the Velocity from Height Equation?

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

2. How Does the Calculator Work?

The calculator uses the velocity equation:

Where:

• \( v \) — Final velocity (m/s)
• \( g \) — Acceleration due to gravity (m/s²)
• \( h \) — Height (m)

Explanation: The equation assumes the object starts from rest and falls freely under gravity without air resistance.

3. Importance of Velocity Calculation

Details: Calculating impact velocity is important in physics, engineering, safety analysis, and understanding motion under gravity.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: Does this equation account for air resistance?
A: No, this is the ideal equation for free fall without air resistance. In reality, air resistance affects falling objects.

Q2: What is the standard value for gravity on Earth?
A: The standard acceleration due to gravity on Earth is approximately 9.81 m/s², though it varies slightly by location.

Q3: Can this be used for objects thrown upward?
A: This specific equation calculates the velocity when hitting the ground from a certain height. For objects thrown upward, different equations apply.

Q4: How does mass affect the velocity?
A: In free fall without air resistance, mass does not affect the velocity. All objects fall at the same rate regardless of mass.

Q5: What are typical velocity values from various heights?
A: From 10m height: ~14 m/s (50 km/h), from 100m: ~44 m/s (158 km/h), from 1000m: ~140 m/s (504 km/h).