This lake has frozen over due to the cold weather. as liquid water freezes , its molecules gain/lose thermal energy . how does the motion of the water molecules changes during freezing

I know that during melting, there is no temperature change as the heat energy is used to do work against potential bond energy but why doesn't temperature change when freezing?

Freezing is the opposite process of melting. If the temperature does not increase as the ice melts, the temperature will not decrease as water freezes.

Melting and freezing are entropy changes. Entropy measure the amount of disorder in a system. A system, like ice, which has less freedom of motion, has less disorder. A system, like liquid water, which has more freedom of motion, has more disorder.

So water has more entropy than ice.

Ice is a very ordered arrangement of H2O molecules in a crystalline form. As heat energy is added to ice, the energy is used the break the bonds between the H2O molecules in the ice crystals. So, the temperature remains constant. You might say that the energy that is added to the ice is used to increase the entropy of the system, instead of increasing the temperature of the system.

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.

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