Question

Considering the trajectory along the astroid r(t)=, for 0<=t<=pi/2 What is the speed along the path, when is it greatest and least? Supposed that you want to design a trajectory with a constant speed v_0. Assume that the trajectory has the form r(t)= for 0<=t<=T. Show that the function u can can be expressed as u(t)=cos^-1(sqr(1-(2V_0t)/3))=sin^-1(sqr((2V_0t)/3). Is the speed in the first one 3m/s? I'm unsure of how to approach the 2nd part.

Answer 1

@dan815

Answer 2

what does 't' refer to?
time?

Answer 3

if 't' is time,