Asked by Duut Edward
a tennis ball is dropped from a height of 30mtrs, and it rebounds four-fifths of the distance it has fallen after each fall. find
1. the height of nth bounce
2. the total distance traveled on rebound before coming to rest.
1. the height of nth bounce
2. the total distance traveled on rebound before coming to rest.
Answers
Answered by
Steve
The nth bounce will have height 30 * (4/5)^n
No idea how many bounces it will take before stopping.
But, to get the total travel after n bounces, just add 30 to twice the sum of n terms of the sequence (a round trip is up and back down)
No idea how many bounces it will take before stopping.
But, to get the total travel after n bounces, just add 30 to twice the sum of n terms of the sequence (a round trip is up and back down)
Answered by
Scott
it's a convergent geometric series, so you can find the sum
the sum, minus 30, is the total rebound distance
s = a / (1 - r) = 30 / (1 - 4/5)
the sum, minus 30, is the total rebound distance
s = a / (1 - r) = 30 / (1 - 4/5)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.