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This equation relates final velocity, original velocity, constant acceleration, and time:

It reads:

*The final velocity equals the original
velocity plus the acceleration multiplied by the time.*

Here is a sample problem and its solution demonstrating the use of this equation:

An object is moving with a velocity of
4.0 m/s when it begins to accelerate. It accelerates at
3.0 m/s/s, (3.0 m/s^{2}), for a time period of
5.0 s. What is the object's final velocity after the
acceleration?

v_{f} = v_{o}
+ at |
Begin here. |

v_{f} = 4.0 m/s
+ (3.0 m/s/s)(5.0 s) |
Plug in values with units. |

v_{f} = 4 + 15 |
Do some intermediate mathematics. |

v_{f} = 19 m/s |
Come up with a final result. |

So, this object is moving with a velocity of 19 m/s after the acceleration.

More:

You can use the definition of acceleration to understand the origin of this equation .

Using algebra this equation can be rearranged and solved for any of the variables present in it.

There are equivalent alternate symbols for the quantities in this equation.

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