- #1
wolf1728
Gold Member
- 38
- 5
This is not a physics question.
Each time a ball bounces it will bounce to, let's say 75% of its previous height.
(I am not interested in the time, energy or velocity, of the ball.)
So if we drop it from 100 cm it will bounce back up to 75 cm, and on the next bounce it goes up to 56.25 cm and so on.
Here is a table for 6 bounces.
Starting height 100 cm
1st Bounce 75 cm
2nd Bounce 56.25 cm
3rd Bounce 42.1875 cm
4th Bounce 31.640625 cm
5th Bounce 23.73046875 cm
6th Bounce 17.797851563cm
Okay we can also say that on each bounce, the ball will lose 25% of its previous height.
So, basically, if we calculate this for every bounce, we can determine the height of any bounce.
Third Bounce Height = 100 -(100 *.25) - (75*.25) -(56.25*.25)
Finally, is there a much more compact formula then this one?
Thank you.
Each time a ball bounces it will bounce to, let's say 75% of its previous height.
(I am not interested in the time, energy or velocity, of the ball.)
So if we drop it from 100 cm it will bounce back up to 75 cm, and on the next bounce it goes up to 56.25 cm and so on.
Here is a table for 6 bounces.
Starting height 100 cm
1st Bounce 75 cm
2nd Bounce 56.25 cm
3rd Bounce 42.1875 cm
4th Bounce 31.640625 cm
5th Bounce 23.73046875 cm
6th Bounce 17.797851563cm
Okay we can also say that on each bounce, the ball will lose 25% of its previous height.
So, basically, if we calculate this for every bounce, we can determine the height of any bounce.
Third Bounce Height = 100 -(100 *.25) - (75*.25) -(56.25*.25)
Finally, is there a much more compact formula then this one?
Thank you.