Given: A particle P travels on a path described by the Cartesian coordinates of y = cx(b-x), where x and y have the units of meters. The x-component of velocity, , for P is constant. Find: For this problem: (a) Make a sketch of the path of P over the range of 0 < x < b. (b) Determine the Cartesian components of the velocity and acceleration of P at x = 0. Add a sketch of the velocity and acceleration vectors for P to your path drawn above. (c) Determine the Cartesian components of the velocity and acceleration of P at x = b/2. Add a sketch of the velocity and acceleration vectors for P to your path drawn above. Use the following parameters in your analysis: b = 2 m, c = 5 and i = 4 m/s.