According to archimedes’ principle, the mass of a floating object equals the mass of the fluid displaced by the object. use this principle to solve the following problems. (a) a wooden cylinder 30.0 cm high floats vertically in a tub of water (density 1: 00 g/cm3 ). the top of the cylinder is 13.5 cm above the surface of the liquid. what is the density of the wood? (b) the same cylinder floats vertically in a liquid of unknown density. the top of the cylinder is 18.9 cm above the surface of the liquid. what is the liquid density? (c) explain why knowing the length and width of the wooden objects is unnecessary in solving parts (a) and (b).

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.