Free Fall (Velocity at Impact)

The Free Fall (Velocity at Impact) calculator computes the final velocity of an object after a free fall based on the height and the acceleration due to gravity.

INSTRUCTIONS: Choose units and enter the following:

• (h) Height of Free Fall

Free Fall Final Velocity (v_f): The calculator returns the velocity in meters per seconds. However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The Final Velocity of Free Fall equation is meant for the context of free fall, or constant acceleration downwards due to Earth's gravity without rest, ignoring air resistance.  Here, v_f is the final velocity of fall a given distance (Height) with it's acceleration of g (the acceleration at sea level due to gravity, roughly 9.80665 m/s^2).

The formula for the final velocity of free fall  is:

         `v_f = sqrt(2·g·h)`

where:

• v_f is the velocity at impact of a free fall 
• h is the height of the free fall
• g is the acceleration due to gravity

Free Fall Calculators

• Free Fall (time): Computes the duration of time that an object will be in free fall based on the height and the acceleration due to gravity.
• Free Fall (distance): Computes the distance that an object will be in free fall based on the duration of the fall and the acceleration due to gravity.
• Free Fall (Velocity at Impact): Computes the final velocity of an object after a free fall based on the height and the acceleration due to gravity.
• Free Fall (Energy on Impact): Computes the kinetic energy at impact based on the height of free fall, acceleration due to gravity and the mass of the object.
• Model Rocket Altitude: Computes the estimated maximum altitude of a rocket based the distance from the launch point and the angle to top point of flight (zenith).
• Object Height by Time to Drop: Estimates the height of an object based on the time it takes for an object to drop from the top of it.
• Elevation of Object (angles and separation): Computes the height of an object based on two angle measurements and the distance between them.
• Distance Traveled at Constant Acceleration: Computes the distance traveled by an object after a period of time, based on its initial distance from the origin, initial velocity and a constant acceleration.
• g (acceleration due to gravity at sea level): Acceleration due to Gravity (g) at sea level on Earth is 9.80665 m/s².