11.161 Robots with telescoping arms are sometimes used to perform tasks (e.g., welding or placing screws) where access may be difficult for other robotic types. During a test run, a robot arm is programmed to extend according to the relationship r = 3 + 0.5 cos(40) and the arm rotates according to the relationship = -+t, where r is in feet, O is in radians, and t is in seconds. Determine (a) the velocity and acceleration of the robot tip A at t = 3 s and (b) use a computer program to plot the path of tip A in x and y coordinates for 0