I am reviewing for the AP Calc test and I came across this very confusing a challenging problem (confusing to me but maybe not to you). Please explain how to get the answer thanks.

is the (position) vector xi + yj from the origin to a moving point P(x,y) at time t.

a. a single equation in x and y for the path of the point is:

(A)

(B)

(C) (D)

(E)

b. when t= 3, the speed of the particle is?

c. The magnitude of the acceleration when t=3 is?

d. at the point where , the slope of the curve along which the particle moves is?