\vec{v}=R[cos(ωt)\hat{x}+sin(ωt)\hat{y}]

blue    : position fo the particle
black  : velocity
red     : x-component of velocity
green : y-component of velocity 
violet    : acceleration

t = 4.24 (slider from 0 to 6.3, step 0.02)
f(t) = cos(t)
g(t) = sin(t)
A: (f(t), g(t))
velocity = Vector((f(t), g(t)), (f(t) + f'(t), g(t) + g'(t)))
vx = Vector((f(t), g(t)), (f(t) + f'(t), g(t)))
vy = Vector((f(t), g(t)), (f(t), g(t) + g'(t)))
acceleration = Vector((f(t), g(t)), (f(t) + f''(t), g(t) + g''(t)))