Problem 5: (12 points) A particle is moving around the plane with velocity vector(-1,3)t=0xt=00<2=0t=0v(t)=(2t3sint3cost,2t-4),-(a)(3 points)If the particle isat the point (-1,3)att=0, what is the position function of the particle?(b)(3 points)At what time(s) will the particle beon the x-axis?(c)(3 points)In which direction is the particle moving att=0? Give your answer in radians, rounded to the nearest hundredth, between 0<2. Let directly rightward be=0 and increases moving counter-clockwise (ason the unit circle.)(d)(3 points) Find the equation of the tangent line to the particle's path att=0.