
Torricelli's equation
Encyclopedia
Torricelli's equation is an equation created by Evangelista Torricelli
to find the final velocity
of an object moving with a constant acceleration without having a known time interval.
The equation itself is:


Square both sides to get:

The term
appears in the equation for displacement, and can be isolated:



Substituting this back into our original equation yields:




Evangelista Torricelli
Evangelista Torricelli was an Italian physicist and mathematician, best known for his invention of the barometer.-Biography:Evangelista Torricelli was born in Faenza, part of the Papal States...
to find the final velocity
Velocity
In physics, velocity is speed in a given direction. Speed describes only how fast an object is moving, whereas velocity gives both the speed and direction of the object's motion. To have a constant velocity, an object must have a constant speed and motion in a constant direction. Constant ...
of an object moving with a constant acceleration without having a known time interval.
The equation itself is:

Derivation
Begin with the equation for velocity:
Square both sides to get:

The term




Substituting this back into our original equation yields:



