1. Suppose that r(t) = <3 cos(3t) t, 3 sin(3t), 5t> a. Determine the velocity, the acceleration and the speed for t = /2. b. Determine whether the angle between the velocity vector and the acceleration vector for t = /2 is right, acute or obtuse . c. Find the vector equation of the tangent to the trajectory of r for t = /2