On a particularly foggy night, a boat travels due east at 10 m/s. there are safety lights, but with the low visibility, the captain opts to sound the horn for 3 seconds every 5 seconds. the captain hears a beat frequency on the third blast he watches his compass and turns hard port maintaining the turn. when he no longer hears the beat, he straightens out his heading.
1. what caused the beat frequency?
2. why did turning stop the beat?
3. what was the frequency of the beat assuming lsound = 350 m/s?

Is a  vector quantity  that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.