A small 4.00! kg mass moves with a constant rotational speed of 1 .50 rid in the counterclockwise direction with a radius of 3.00 m. Assume the origin is located at the center of the object's rotation and that its initial position is given by (3.00 m)i. a. After undergoing a rotational displacement of 9.00 rad, at what angle does the object's position vector point? Explain your conclusion. b. What is its new position vector? Express the vector using unit vector notation and explain your work. c. After undergoing a rotational displacement of 9.00 rad , at what angle does the object's velocity vector point? Explain your conclusion. d. What is the object's new velocity vector? Express the vector using unit vector notation and explain your work. e. Sketch the initial position, velocity, and acceleration vectors and the position, velocity, and acceleration vectors after the displacement in a single diagram. f. Find the force exerted on the object as a result of this rotation. Express it as a vector for its initial and nal positions. Explain your work. g. Make a sketch of rotational position-time, rotational velocity-time, and rotational acceleration-time for this motion