Question

Consider the motion of a point P(x(t),y(t)) such that x(t)= cos(t+∅), y= sin(t+∅), t ≥ 0.

a) Show that P moves in a circle
b) If P is initially at (-√3/2, -1/2), find ∅
c) Find the velocity vector of P
d) Show that P has a constant speed of 1