Free Fall Velocity Calculator

Gravitational Acceleration (g):

Initial Velocity (v₀):

Height (h):

Time of Fall (s): Time of Fall (min): Time of Fall (hours): Velocity (m/s): Velocity (mph): Velocity (km/h):

1. What is a Free Fall Velocity Calculator?

Definition: This calculator determines the time of fall and final velocity of an object in free fall, given gravitational acceleration, initial velocity, and height.

Purpose: It’s used to analyze motion under gravity, useful in physics education and theoretical scenarios.

2. How Does the Calculator Work?

The calculator solves:

\[ h = v_0 \cdot t + \frac{1}{2} g \cdot t^2 \] \[ t = \frac{-v_0 + \sqrt{v_0^2 + 2gh}}{g} \] \[ v = v_0 + g \cdot t \]

Unit conversions:

Gravity: 1 ft/s² = 0.3048 m/s²
Velocity: 1 m/s = 3.6 km/h = 2.23694 mph, etc.
Height: 1 cm = 0.01 m, 1 km = 1000 m, etc.
Time: 1 min = 60 s, 1 hour = 3600 s

Explanation: Inputs are converted to base units (m/s², m/s, m), then time and velocity are calculated and converted to requested units.

3. Importance of Free Fall Velocity

Details: It helps understand gravitational motion, impact speeds, and fall duration in idealized conditions (no air resistance).

4. Using the Calculator

Tips: Enter gravity (default 9.80665 m/s²), initial velocity (default 0), and height. Use positive values. Outputs are time (s, min, hours) and velocity (m/s, mph, km/h) rounded to 3 decimal places.