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Frequency of bouncing

Isaac physics question, I would like some help please. I have done up to part F which asks for “The frequency of bouncing heard as a function of bounce number n”. I interpreted this to mean the average frequency of bouncing after n bounces - so I divided n by the total time needed to complete n - 1 bounces. I might have gone wrong in the calculations or misinterpret but i would really appreciate some clarification!

https://isaacphysics.org/questions/maths_ch7_3_q8?board=464cb490-3b10-43cc-af6b-4e66d1545c12&stage=a_level

Reply 1

Original post by Himkjk
Isaac physics question, I would like some help please. I have done up to part F which asks for “The frequency of bouncing heard as a function of bounce number n”. I interpreted this to mean the average frequency of bouncing after n bounces - so I divided n by the total time needed to complete n - 1 bounces. I might have gone wrong in the calculations or misinterpret but i would really appreciate some clarification!
https://isaacphysics.org/questions/maths_ch7_3_q8?board=464cb490-3b10-43cc-af6b-4e66d1545c12&stage=a_level

Not worked it through, but it sounds like they want the actual frequency as a function of n, not the average. So calculate the time period for the nth bounce then 1/#
(edited 2 months ago)

Reply 2

Thank you, it was much simpler than I was making it lol. Could you explain what the second question is asking: Calculate the frequency of bouncing heard as a function of time T(n) at the nth bounce and t(0)?

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Reply 3

Original post by Himkjk
Thank you, it was much simpler than I was making it lol. Could you explain what the second question is asking: Calculate the frequency of bouncing heard as a function of time T(n) at the nth bounce and t(0)?

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Sounds like its just expressing it in terms of different variables, so rather than expressing it in terms of the index n, put it in terms of T_n which I presume uses the fact its a geometric sequence. But not worked it through again.

Reply 4

Original post by mqb2766
Sounds like its just expressing it in terms of different variables, so rather than expressing it in terms of the index n, put it in terms of T_n which I presume uses the fact its a geometric sequence. But not worked it through again.


So T(n) refers to the sum of all the intervals from t(0) to t(n-1). Then i need to express 1/2t(0)(roota)^n in terms of the T(n) i found, t(0) and a? i got it ty!

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