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:


  • is the object's final velocity
  • is the object's initial velocity
  • is the object's acceleration
  • is the object's change in position


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:

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