2 2 2 2 2 2 2 2 2 on vector (x(t), y(t) at time 1, where 2. For 1 2 0, a particle moving in the xy-plane has the position vector (x(i),y() at ax=-1 + esint and 2 = cos(t2). At time t = 2, the position of the particle is (5,7). dr (a) Find the acceleration vector of the particle at time I = 2. aicelevation that), 76) ait) = losit) e sint 4 : -2+ sin(ta) 212) 2 - 1,033 12) * 3.027 $33,3-027> (b) Find the total distance traveled by the particle over the time interval 1.8 SIS 2. te sint)² + ( cos(+²))² ñ 0.360 2 2 2 2 2 2 2 2 2 2 (c) Find the x-coordinate of the position of the particle at time t = 1. all) = {18) + Sitesint at =5+ 1.605 ? 6. 605 770 (d) At time t = 5, the line tangent to the path of the particle is horizontal. Find the particle's speed at time 17a I = Determine whether the particle is moving to the left or to the right at that time. Give a reason for your answer.