How to Calculate and Solve for Final Velocity | Motion

November 29, 2019March 28, 2024 Loveth Idoko

Last Updated on March 28, 2024

The image above represents final velocity. To calculate final velocity, three essential parameters are needed and these parameters are initial velocity (u), acceleration (a) and 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, the final velocity is 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.

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, the initial velocity is 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, the acceleration is 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, the time is 2 s.

How to Calculate and Solve for Final Velocity Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the final velocity.

To get the answer and workings of the final velocity using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 1,500 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Motion under Physics.

Now, Click on Final Velocity under Motion

The screenshot below displays the page or activity to enter your values, to get the answer for the final velocity according to the respective parameters which are the initial velocity (u), acceleration (a) and time (t).

Now, enter the values appropriately and accordingly for the parameters as required by the initial velocity (u) is 12, acceleration (a) is 9 and time (t) is 24.

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the final velocity and presents the formula, workings and steps, too.