A particle moves in the coordinate plane with position vectorsuch that x(t)= t24t 3 and y(t)=45t 3t2 in the timeinterval 0 t 4.Part A: Find the equation of the tangent line to the path of the particlewhen t =4.Part B: At what time (if any) is the particle at rest? Justify youranswer.Part C: Is the speed of the particle increasing or decreasing whent =4? Justify your answer.Part D: Write an expression for the total distance traveled by theparticle on the interval 0 t 4