Velocity Calculator with Gravity

Velocity Formula:

\[ v = \sqrt{2 \times g \times h} \]

Velocity (m/s):

1. What is a Velocity Calculator with Gravity?

Definition: This calculator computes the final velocity of an object in free fall based on height and gravitational acceleration.

Purpose: It helps physics students, engineers, and scientists determine the speed of falling objects under gravity.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ v = \sqrt{2 \times g \times h} \]

Where:

\( v \) — Final velocity (meters per second, m/s)
\( g \) — Gravitational acceleration (m/s²)
\( h \) — Height/distance of fall (meters, m)

Explanation: The formula calculates the velocity an object reaches after falling a certain distance under constant acceleration due to gravity.

3. Importance of Velocity Calculation

Details: Understanding free-fall velocity is crucial for physics experiments, engineering designs, safety calculations, and various scientific applications.

4. Using the Calculator

Tips: Enter the height in meters and gravitational acceleration (default 9.81 m/s² for Earth). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is gravity 9.81 m/s²?
A: This is the standard acceleration due to gravity on Earth's surface. It varies slightly by location.

Q2: Does this account for air resistance?
A: No, this is the theoretical maximum velocity without considering air resistance or other forces.

Q3: What if I'm calculating for another planet?
A: Simply change the gravity value to that planet's gravitational acceleration (e.g., 3.71 m/s² for Mars).

Q4: Can I use this for horizontal motion?
A: No, this formula specifically calculates velocity from vertical free-fall under gravity.

Q5: What units should I use?
A: The calculator uses meters for height and meters/second² for gravity, resulting in meters/second for velocity.