- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Derive the following equation of motion: $v^2 = u^2 + 2as$, where the symbols have their usual meanings.
We know the first equation of motion $v=u+at$
While $u\rightarrow$ Initial velocity
$v\rightarrow$ Final velocity
$a\rightarrow$ Acceleration
$t\rightarrow$ Time taken
We know the displacement $s=(\frac{u+v}{2})t$
And from first equation of motion Time $t=(\frac{v-u}{a})$
Therefore, Displacement $s=(\frac{v+u}{2})(\frac{v-u}{a})$
Or $s=\frac{v^2-u^2}{2a}$
Or $v^2-u^2=2as$
Or $v^2=u^2+2as$
Advertisements