How to Calculate and Solve for Distance Covered | Motion

The image above represents distance covered. To calculate distance covered, three essential parameters are needed and these parameters are final velocity (v), initial velocity (u) and time (t).

The formula for calculating distance covered:

S = (^{(u + v)} / ₂) t

Where;

S = Distance Covered
u = Initial Velocity
v = Final Velocity
t = Time

Let’s solve an example;
Find the distance covered when the initial velocity is 6, final velocity is 11 and time is 14.

This implies that;

u = Initial Velocity = 6
v = Final Velocity = 11
t = Time = 14

S = (^{(u + v)} / ₂) t
S = (^{(6 + 11)} / ₂) 14
That is, S = (⁽¹⁷⁾ / ₂) 14
S = (8.5) 14
S = 119

Therefore, the distance covered is 119 m.

Calculating the Initial Velocity when the Distance Covered, the Final Velocity and the Time are Given

u = (^2S / _t) – v

Where;

u = Initial Velocity
S = Distance Covered
v = Final Velocity
t = Time

Let’s solve an example;
Find the initial velocity when the distance covered is 48, the final velocity is 20 and the time is 4.

This implies that;

S = Distance Covered = 48
v = Final Velocity = 20
t = Time = 4

u = (^2S / _t) – v
u = (²⁽⁴⁸⁾ / ₄) – 20
Then, u = (⁹⁶ / ₄) – 20
u = 24 – 20
u = 4

Therefore, the initial velocity is 4 m/s.

Calculating the Final Velocity when the Distance Covered, Initial Velocity and the Time are Given

v = (^2S / _t) – u

Where;

v = Final Velocity
S = Distance Covered
u = Initial Velocity
t = Time

Let’s solve an example;
Find the final velocity when the distance covered is 60, the initial velocity is 12 and the time is 8.

This implies that;

S = Distance Covered = 60
u = Initial Velocity = 12
t = Time = 8

v = (^2S / _t) – u
v = (²⁽⁶⁰⁾ / ₈) – 12
So, v = (¹²⁰ / ₈) – 12
v = 15 – 12
v = 3

Therefore, the final velocity is 3 m/s.

Read more: How to Calculate and Solve for Recoil Velocity | Motion

Calculating the Time when the Distance Covered, Final Velocity and the Initial Velocity are Given

t = ^2S / _{u + v}

Where;

t = Time
S = Distance Covered
u = Initial Velocity
v = Final Velocity

Let’s solve an example;
Given that the distance covered is 44, the final velocity is 20, the initial velocity is 10. Find the time?

This implies that;

S = Distance Covered = 44
u = Initial Velocity = 10
v = Final Velocity = 20

t = ^2S / _{u + v}
t = ²⁽⁴⁴⁾ / _{10 + 20}
Then, t = ⁸⁸ / ₃₀
t = 2.93

Therefore, the time is 2.93 s.

How to Calculate Distance Covered in Motion Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the distance covered.

To get the answer and workings of the distance covered 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 Distance Covered under Motion

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

Now, enter the values appropriately and accordingly for the parameters as required by the initial velocity (u) is 6, final velocity (v) is 11 and time (t) is 14.

Finally, Click on Calculate

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