- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion 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

# Two stones are thrown vertically upwards simultaneously with their initial velocities $u_1$ and $u_2$ respectively. Prove that the heights reached by them would be in the ratio of $u_1^2:u_2^2$ [Assume upward acceleration is -g and downward acceleration to be +g]

In this case, acceleration will be \'g\' in downwards

We know that, $v^{2} \ =\ u^{2} \ - \ 2gh$ or $ h = \frac{u^{2} \ -\ v^{2}}{2g}$

But at the highest point, $v\ =\ 0$

Therefore, $h\ =\ \frac{u^{2}}{2g}$

For first ball, $h_{1} \ =\ \frac{u^{2}_{1}}{2g}$

For second ball, $h_{2} \ =\ \frac{u^{2}_{2}}{2g}$

If we divide, $h_{1}$ and $h_{2}$, then we will get,

$\frac{h_{1}}{h_{2}} \ =\ \frac{\frac{u^{2}_{1}}{2g}}{\frac{u^{2}_{2}}{2g}}=\frac{u^{2}_{1}}{u^{2}_{2}}$

Therefore, $h_{1} :\ h_{2} \ =\ u^{2}_{1} \ :\ u^{2}_{2}$.

- Related Questions & Answers
- HTML <u> Tag
- Construct PDA for accepting L = {anb(2n) | n>=1} U {anbn | n>=1}
- Finding two missing numbers that appears only once and twice respectively in JavaScript
- How to Use 'U' and 'L' formatters in Arduino?
- Calculate n + nn + nnn + u + n(m times) in Python Program
- Using Function Module BAPI_ISUPARTNER_CREATEFROMDATA to create BP in SAP IS-U system
- Write a function that returns 2 for input 1 and returns 1 for 2 in C programming
- Python Program to Print all Integers that are not Divisible by Either 2 or 3 and Lie between 1 and 50
- Sum of the series 1 / 1 + (1 + 2) / (1 * 2) + (1 + 2 + 3) / (1 * 2 * 3) + … + upto n terms in C++
- Count all possible position that can be reached by Modified Knight in C++
- Sum of the series 1 + (1+2) + (1+2+3) + (1+2+3+4) + ... + (1+2+3+4+...+n) in C++
- What does the 'U' modifier do when a file is opened using Python?
- How to implement ToIntBiFunction<T, U> using lambda expression in Java?
- How to implement ToDoubleBiFunction<T, U> using lambda expression in Java?
- How to implement ToLongBiFunction<T, U> using lambda expression in Java?
- How to select rows if initial ones are randomized and the rest ordered by criteria with MySQL?

Advertisements