The displacement vector of a particle of mass m is given by r(t) = i A cos wt + j B sin wt. u200b

Question

The displacement vector of a particle of mass m is given by r(t) = (\hat{i}) A cos wt + (\hat{j}) B sin wt.

(a) Show that the trajectory is an ellipse.

(b) Show that F = −mω2r.