Time: 4.52 seconds
Final velocity: 44.36 m/s
Kinetic energy: 981.00 J/kg
Formulas used:
t = √(2h/g)
v = √(2gh)
KE/mass = ½v2 = gh
t = √(2h/g)
v = √(2gh)
KE/mass = ½v2 = gh
Free Fall Calculator
This free fall calculator determines the time of fall and height for objects dropped under gravitational acceleration. It works in two modes: calculating fall time from height or calculating drop height from fall time. The calculator supports multiple measurement units and provides additional calculations for final velocity and kinetic energy.
Physics Formulas
Time from Height Mode:
t = √(2h/g)v = √(2gh)
KE/mass = ½v2 = gh
Height from Time Mode:
h = ½gt2v = gt
KE/mass = ½v2 = ½g2t2
Where: h = height, t = time, g = gravitational acceleration, v = final velocity, KE = kinetic energy
Calculation Examples
Example 1:
Drop height: 100 meters
Fall time: 4.52 seconds
Final velocity: 44.36 m/s
Fall time: 4.52 seconds
Final velocity: 44.36 m/s
Example 2:
Fall time: 5 seconds
Drop height: 122.63 meters
Final velocity: 49.05 m/s
Drop height: 122.63 meters
Final velocity: 49.05 m/s
Example 3:
Drop height: 500 feet
Fall time: 5.59 seconds
Final velocity: 179.84 ft/s
Fall time: 5.59 seconds
Final velocity: 179.84 ft/s
Example 4:
Drop height: 2 kilometers
Fall time: 20.20 seconds
Final velocity: 198.20 m/s
Fall time: 20.20 seconds
Final velocity: 198.20 m/s
Example 5:
Fall time: 3.2 seconds
Drop height: 50.21 meters
Final velocity: 31.39 m/s
Drop height: 50.21 meters
Final velocity: 31.39 m/s
Example 6:
Drop height: 150 centimeters
Fall time: 0.55 seconds
Final velocity: 5.42 m/s
Fall time: 0.55 seconds
Final velocity: 5.42 m/s
Example 7:
Fall time: 45 milliseconds
Drop height: 0.01 meters
Final velocity: 0.44 m/s
Drop height: 0.01 meters
Final velocity: 0.44 m/s
Example 8:
Drop height: 1 mile
Fall time: 32.12 seconds
Final velocity: 1033.58 ft/s
Fall time: 32.12 seconds
Final velocity: 1033.58 ft/s
Example 9:
Fall time: 2.5 minutes
Drop height: 11047.50 meters
Final velocity: 1471.50 m/s
Drop height: 11047.50 meters
Final velocity: 1471.50 m/s
Example 10:
Drop height: 50 decimeters
Fall time: 1.01 seconds
Final velocity: 9.90 m/s
Fall time: 1.01 seconds
Final velocity: 9.90 m/s
Key Features
The calculator automatically computes final velocity and kinetic energy per unit mass alongside the primary calculation. It supports both metric units (millimeters, centimeters, decimeters, meters, kilometers) and imperial units (inches, feet, miles) for distance measurements. Time can be expressed in milliseconds, seconds, minutes, or hours. Gravitational acceleration can be set in m/s2 or ft/s2 to accommodate different measurement systems.