An unfingered guitar string is 0.68 m long and is tuned to play E above middle C (330 Hz). Required:

a. How far from the nut of the guitar must a fret (and your finger) be placed on this string to play B (494 Hz)?

b. What is the wavelength on the string of this 466-Hz wave?

c. What is the frequency of the sound wave produced in air at 18°C by this fingered string? The speed of sound in air is v≈(331+0.60T)m/s, where T is the temperature in ∘C.

d. What is its wavelength of the sound wave produced in air at 18°C by this fingered string?

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.