(solution) Consider an omnidirectional robot with a ring of eight 70 kHz

(solution) Consider an omnidirectional robot with a ring of eight 70 kHz

Consider an omnidirectional robot with a ring of eight 70 kHz sonar sensors that are fired sequentially. The robot is capable of accelerating and decelerating at 50 cm/s2. It is moving in a world filled with sonar-detectable fixed (nonmoving) obstacles that can only be detected at 5 meters and closer. Given the bandwidth of the sonar sensors, compute the robot?s appropriate maximum speed to ensure no collisions.