A rocket moves downwards with constant speed of 800 m/s along a parabolic path. The equation of the path is y = 600-- When the rocket is at a point P, the angle measured counterclockwise from the X-axis to this point on the path is 60. Find: (a) The X and Y coordinates of the point P. 121 (b) Plot the path to scale (use MATLAB to do this). Draw the Normal and Tangential unit vectors (u, and un) at the point P. What is the angle between the Tangential unit vector u, and the positive direction of the X-axis? (c) The u, and un components of the velocity vector. (d) The u, and un components of the acceleration vector. (e) The i and components of the velocity vector. (f) The i and i components of the acceleration vector. (g) On the same plot from (b), draw the Radial and Transverse unit vectors (u, and up) at point P. What is the angle between the Transverse unit vector u, and the positive direction of the X-axis? (h) The u, and up components of the velocity vector. (i) The u, and up components of the acceleration vector. Hint: The given angle of 60 is not the angle of the tangent to the curve at point P.