Formula library

Uniformly Accelerated Motion - Final Velocity

Uniformly Accelerated Motion - Final Velocity
\[v = v_0 + a t\]

Variables

vfinal velocity (m/s)
v0initial velocity (m/s)
aacceleration (m/s²)
ttime elapsed (s)

Description

What is this formula?

This equation calculates the final velocity of an object undergoing constant acceleration during linear motion.


When to use it

Use this formula when acceleration remains constant over time and the initial velocity is known.


Example

If a car starts at 10 m/s and accelerates at 3 m/s² for 5 s:


v = 10 + 3 × 5 = 25 m/s


Applications

Vehicle dynamics, motion prediction, mechanical engineering, robotics, and physics education.

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