The astronaut is not rotating. He has an
orientation control system that can subject him to a constant
angular acceleration of 0.1 rad/s2 about the vertical axis in
either direction. For safety, the control system will not allow
his angular velocity to exceed 15â—¦ per second. If he wants to
rotate 180â—¦ about the vertical axis (that is, rotate so that he is
facing toward the left) and not be rotating in his new
orientation, what is the minimum time in which he could
achieve the new orientation?