2013 NYJC P1 Q7
2013 NYJC P1 Q7
Prelims
A pendulum is swinging so that the distances of successive swings are in geometric progression.
The distance covered by the first swing (from left to right) is \(7\) cm, and the distance covered by the subsequent swing
(from right to left) is \(\frac{7}{8}\) of the distance of the previous swing. Find
- the distance covered by the \(n\)th swing,
- the least number of swings needed for the total distance to exceed \(95\%\) of the total distance the pendulum covers before coming to rest.
Video Solution:
Video solution locked
A free account saves your progress; this video needs tuition enrolment.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs tuition enrolment.
Create a free account to practise similar questions.
Answer:(i) \({{T}_{n}}=7{{\left( \frac{7}{8} \right)}^{n-1}}\) (ii) \(23\)
Need help? Join our JC Math tuition classes.
Learn more