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the first law of thermodynamics states that △e = q-w. is this also a statement of the principle of conversation of energy?
a. the heat that flows into the system is transformed into work and a change in internal energy
b. the energy that flows into the system is transformed into heat and work
c. the work that is done by the piston is transformed into heat and a change in internal energy
d. a change in internal energy causes work to be done and heat to flow into the system

I believe it is C. I'm not completely sure but I believe it is.

If an object is moving or in motion

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.