Asked by Marcia
A curtate cycloid is defined by the equations x = 2t - sin t and y = t - cos t. If I walk along the cycloid, how far will I walk in 10 seconds?
Answers
Answered by
Steve
ds^2 = dx^2+dy^2
= (2-cos t)^2 + (1+sin t)^2
= 4 - 4cost + cos^2 t + 1 + 2sint + sin^2 t
= 6 - 4cost + 2sint
The problem is, that this results in an elliptic integral, which is not usual in low-level calculus classes
= (2-cos t)^2 + (1+sin t)^2
= 4 - 4cost + cos^2 t + 1 + 2sint + sin^2 t
= 6 - 4cost + 2sint
The problem is, that this results in an elliptic integral, which is not usual in low-level calculus classes
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.