Free Fall Calculator

Free Fall is evaluated from Fall Time, Final Velocity and Distance Fallen. The calculation reports Final Velocity, Final Velocity and Distance Fallen.

Results

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About the Free Fall Calculator

Free Fall is treated here as a quantitative relation between Fall Time, Final Velocity and Distance Fallen and Final Velocity, Final Velocity, Distance Fallen and Distance Fallen.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
v = g x t - velocity after time t
d = ½ x g x t^2 - distance fallen in time t
v = sqrt(2 x g x d) - velocity after falling distance d
t = v / g - time to reach velocity v
t = sqrt(2d / g) - time to fall distance d
g = 9.80665 m/s^2

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

v = g x t - velocity after time t
d = ½ x g x t^2 - distance fallen in time t
v = sqrt(2 x g x d) - velocity after falling distance d
t = v / g - time to reach velocity v
t = sqrt(2d / g) - time to fall distance d
g = 9.80665 m/s^2

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Ball Dropped from Building Roof

Inputs

time: 3
Final Velocity: 29.42 m/s. Final Velocity: 65.81 mph. Distance Fallen: 44.13 m. Distance Fallen: 144.78 ft

With Fall Time = 3 as the stated inputs, the result is Final Velocity = 29.42 m/s, Final Velocity = 65.81 mph and Distance Fallen = 44.13 m. Each value corresponds to the declared output fields.

Example 2: Cliff Height Estimation

Inputs

distance: 93.57
Final Velocity: 42.839 m/s. Final Velocity: 95.83 mph. Time of Fall: 4.368 s

With Distance Fallen = 93.57 as the stated inputs, the result is Final Velocity = 42.839 m/s, Final Velocity = 95.83 mph and Time of Fall = 4.368 s. Each value corresponds to the declared output fields.

Example 3: Skydiver Pull-Cord Timing

Inputs

time: 10
Final Velocity: 98.067 m/s. Final Velocity: 219.37 mph. Distance Fallen: 490.333 m. Distance Fallen: 1,608.7 ft

With Fall Time = 10 as the stated inputs, the result is Final Velocity = 98.067 m/s, Final Velocity = 219.37 mph and Distance Fallen = 490.333 m. Each value corresponds to the declared output fields.

Example 4: Velocity to Height Conversion

Inputs

velocity: 19.81
Distance Fallen: 20.009 m. Distance Fallen: 65.65 ft. Time of Fall: 2.02 s

With Final Velocity = 19.81 as the stated inputs, the result is Distance Fallen = 20.009 m, Distance Fallen = 65.65 ft and Time of Fall = 2.02 s. Each value corresponds to the declared output fields.

Common Use Cases

  • Calculate how long it takes an object to fall from a building
  • Find the speed of an object just before it hits the ground
  • Determine the height of a cliff from fall time