# How to Calculate and Solve for Final Velocity | Motion

The image above represents final velocity. To calculate final velocity, three essential parameters are needed and these parameters are initial velocity (u), acceleration (a)Â andÂ time (t).

The formula for calculating final velocity:

v = u + at

Where;

v = Final Velocity
u = Initial Velocity
a = Acceleration
t = Time

Let’s solve an example;
Find the Final velocity when the initial velocity is 12, acceleration is 9, and the time is 24.

This implies that;

u = Initial Velocity = 12
a = Acceleration = 9
t = Time = 24

v = u + at
Then, v = 12 + (9 x 24)
v = 12 + 216
v = 228

Therefore, theÂ final velocityÂ isÂ 228 m/s.

### Calculating the Initial Velocity when the Final Velocity, the Acceleration and the Time are Given

u = v – at

Where;

u = Initial Velocity
v = Final Velocity
a = Acceleration
t = Time

Let’s solve an example;
Find the Initial Velocity when the Final Velocity is 32, the acceleration is 12 and the time is 2.

### Master Every Calculation Instantly

Unlock solutions for every math, physics, engineering, and chemistry problem with step-by-step clarity. No internet required. Just knowledge at your fingertips, anytime, anywhere.

This implies that;

v = Final Velocity = 32
a = Acceleration = 12
t = Time = 2

u = v – at
So, u = 32 – (12 x 2)
u = 32 – 24
u = 8

Therefore, theÂ initial velocityÂ isÂ 8 m/s.

### Calculating the Acceleration when the Final Velocity, the Initial Velocity and the Time are Given

a = v – u / t

Where;

a = Acceleration
u = Initial Velocity
v = Final Velocity
t = Time

Let’s solve an example;
Find the acceleration when the final velocity is 50, the initial velocity is 24 and the time is 12.

This implies that;

u = Initial Velocity = 24
v = Final Velocity = 50
t = Time = 12

a = v – u / t
That is, a = 50 – 24 / 12
a = 26 / 12
a = 2.16

Therefore, theÂ accelerationÂ isÂ 2.16.

### Calculating the Time when the Final Velocity, the Initial Velocity and the Acceleration are Given

t = v – u / a

Where;

t = Time
u = Initial Velocity
v = Final Velocity
a = Acceleration

Let’s solve an example;
Find the time when the final velocity is 40, the initial velocity is 20 and the acceleration is 10.

This implies that;

u = Initial Velocity = 20
v = Final Velocity = 40
a = Acceleration = 10

t = v – u / a
Then, t = 40 – 20 / 10
t = 20 / 10
t = 2

Therefore, theÂ timeÂ isÂ 2 s.

### How to Calculate and Solve for Final Velocity Using Nickzom Calculator

Nickzom Calculator â€“Â The Calculator EncyclopediaÂ is capable of calculating the final velocity.

To get the answer and workings of the final velocity using theÂ Nickzom Calculator â€“ The Calculator Encyclopedia.Â First, you need to obtain the app.

You can get this app via any of these means:

To get access to theÂ professionalÂ version via web, you need toÂ registerÂ andÂ subscribeÂ forÂ NGN 1,500Â perÂ annumÂ to have utter access to all functionalities.
You can also try theÂ demoÂ version viaÂ https://www.nickzom.org/calculator