Wow, I can't believe I forgot to check that. The current answer on the picture shown is the final answer I had gotten, before that I think I made some mistakes.
Edit: I just realized what you asked me to do.
r(t) = <pi/3 - sqrt(3)/2, 1/2>
r'(t) = <1/2, sqrt(3)/2>
r"(t) = <sqrt(3)/2 , 1/2>
v(t)...