## Abhisar one year ago A ball is dropped from height h on the ground level. If the coefficient of restitution is e then the height upto which the ball will go after $$\sf n^{th}$$ jump will be

1. Abhisar

@IrishBoy123

2. Abhisar

3. Abhisar

@iambatman

4. anonymous

$v= \sqrt{2gh}$ $e = \frac{ v' }{ v _{0} } = \sqrt{\frac{ H }{ h }}$ thus $H = e ^{2}*h$ let's us now use the new height to make the same calculation $H _{1}= e ^{2}*H = e ^{2}*e ^{2}*h = e ^{4}*h$ that is enough to get the pattern $H _{n} = e ^{2*n} * h$

5. Abhisar

Thanks @catch.me

6. anonymous

you are welcome :)