for t 2 0, a particle is moving along a curve so that its position at any time t is (x(t), y(z)). At time t = 2, the particle is at position (3, 7). Given that dx _ Vt+2 et and = sint. at A. Find the slope of the path of the particle at time t = 2. Is the horizontal movement of the particle to the left or the right at t = 2. Justify. .0 = 101 8 = 3 moxlolbirisq ed yd bolevent sonereib andT . B. Find the x-coordinate of the particle's position at t = 5. dieu( Semis aid is adgly C. Determine the speed of the particle at time, t = 5. D. Find the distance traveled by the particle on the interval 2 S t - 5. isg 9di bald .&lt