('1 point) Each of the following equations describes the motion of a particle moving along the unit circle in the my-plane. However, the dynamics are different in each case. In each case, determine whether the particle has constant speed, whether the particle's acceleration is always orthogonal to its velocity, which direction the particle travels, and where the particle begins. F(t) : (cost); + (sint, t> 0. Does the particle have constant speed? ? v Is the particle's acceleration vector always orthogonal to its velocity vector? ? v Does the particle move clockwise or counterclockwise around the circle? ? v Does the particle begin at the point (1, 0)? ? v at) : cos(5t)g + sin(5t) 3' t 2 0. Does the particle have constant speed? ? v Is the particle's acceleration vector always orthogonal to its velocity vector? ? v Does the particle move clockwise or counterclockwise around the circle? ? v Does the particle begin at the point (1, 0)? ? v F(t) : (cos(t , arm)? + 5111057 mi, t > 0. Does the particle have constant speed? ? v Is the particle's acceleration vector always orthogonal to its velocity vector? ? v Does the particle move clockwise or counterclockwise around the circle? ? v Does the particle begin at the point (1, 0)? '? v F(t) : (cost)? _ (amt); 15> 0. Does the particle have constant speed? ? v Is the particle's acceleration vector always orthogonal to its velocity vector? ? v Does the particle move clockwise or counterclockwise around the circle? ? v Does the particle begin at the point (1,0)? '? v F(t) : cos(t3); + si11(t3)}, t > 0. Does the particle have constant speed? ? v Is the particle's acceleration vector always orthogonal to its velocity vector? ? v Does the particle move clockwise or counterclockwise around the circle? ? v Does the particle begin at the point (1, 0)? ? v