1 Robots with telescoping arms are sometimes used to perform tasks(e. g., welding or placing screws) where access may be difficult forother robotic types. During a test run, a robot arm is programmedto extend according to the relationship r = 3 + 0.5 cos(4θ) and thearm rotates according to the relationship θ = −π__4t2 + πt, where r isin feet, θ is in radians, and t is in seconds. Determine (a) the velocityand acceleration of the robot tip A at t = 3 s and