Let ? (t) = represent the trajectory of a particle moving in the my plane at a rotational rate of w. Let A, w > 0 1.) Find the velocity vector valued function. 2.) Find the speed function. 3.) Find the period of the particle. Hint: what's the formula for the period ofa sine or cosine? 4.) Calculate the arclength over one period. Hint: The period should be in terms ofw. 5.} Calculate the curvature. Like the last problem, all of your calculations will be done in terms of A and w