Atuning fork vibrating at a frequency of 512hz is held over the top of the jar filled with water and filled with a tap at the bottom. if the jar is 60cm tall and the speed of sound is 350ms-1, determine 1st and 2nd resonance.

Frequency of tuning fork f = 512 Hz 
Speed of sound V = 350ms-1 
Height of the jar = 60 cm = 0.06 m 
Velocity = wavelength x frequency => V = lambda x f => lambda = V / f = 350 / 512 
Wavelength = 350 / 512 = 0.684 
1st resonance at = lambda / 4 = 0.684 / 4 = 0.171 = 17 cm 
2nd resonance at = (3 x lambda)/ 4 = (3 x 0.684) / 4 = 0.513 = 51 cm

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.

I'll do it rn and then answer