Question

circle has a parametrization ​

Answer 1

Answer:

The cycloid generated by the unit circle has parametrization

r(t)=⟨t−sint,1−cost⟩

(a) Find the value of t in

[0,2π]

where the speed is at a maximum. (b) Show that one arch of the cycloid has length 8. Recall the identity

sin2(t/2)=(1−cost)/2.