Final Velocity Calculator

Enter any three values—Initial Velocity, Acceleration, Time, or Final Velocity—to calculate the missing one using the equations of motion.

The Final Velocity Calculator determines the final velocity of an object in motion, based on its initial velocity, acceleration, and time of travel.

This tool is valuable in physics and engineering for analyzing motion in a straight line. By entering known parameters, it computes the missing variable, saving time and reducing manual errors.

Formula

Final Velocity

$\text{Final Velocity (v)} = \text{Initial Velocity (u)} + (\text{Acceleration (a)} \times \text{Time (t)})$

Initial Velocity

$\text{Initial Velocity (u)} = \text{Final Velocity (v)} – (\text{Acceleration (a)} \times \text{Time (t)})$

Acceleration

$\text{Acceleration (a)} = \frac{\text{Final Velocity (v)} – \text{Initial Velocity (u)}}{\text{Time (t)}}$

Time

$\text{Time (t)} = \frac{\text{Final Velocity (v)} – \text{Initial Velocity (u)}}{\text{Acceleration (a)}}$

More Calculators

Variable	Description	Unit
Initial Velocity (u)	Speed at the start of motion	m/s or ft/s
Acceleration (a)	Rate of velocity change	m/s² or ft/s²
Time (t)	Duration of motion	seconds (s)
Final Velocity (v)	Speed at the end of motion	m/s or ft/s

Solved Calculations

Example 1: Calculate Final Velocity

Step	Value	Explanation
Initial Velocity	10 m/s	Input value
Acceleration	2 m/s²	Input value
Time	5 seconds	Input value
Formula	$v = u + ($	Substitute values
Calculation	$v = 10 + (2 \t$	Final velocity

Example 2: Calculate Time

Step	Value	Explanation
Initial Velocity	5 ft/s	Input value
Final Velocity	25 ft/s	Input value
Acceleration	4 ft/s²	Input value
Formula	$t = \frac{v – u}{a$	Substitute values
Calculation	$t = \frac{25 – 5}$	Time duration