A particle moves in the coordinate plane with position vector (x(t). y(t))such that x(t) = R-4t+3 and y(t) = 4 - 5t + 3+ in the time interval Osts 4. Part A: Find the equation of the tangent line to the path of the particle when t= 4.
Part B: At what time (if any) is the particle at rest? Justify your answer.
Part C: Is the speed of the particle increasing or decreasing when t = 42 Justify your answer.
Part D: Write an expression for the total distance traveled by the particle on the interval Osts 4.
