Torricelli's equation

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In physics, 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:

where

  • is the object's final velocity
  • is the object's initial velocity
  • is the object's acceleration
  • Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "/mathoid/local/v1/":): \Delta d \, is the object's change in position

Derivation[edit]

Begin with the definition of acceleration:

Square both sides to get:

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

Substituting this into the original equation yields:

See also[edit]

External links[edit]