Answer:
2. The object must have zero average acceleration over the interval.
Step-by-step explanation:
Notes:
-Velocity can have zero change if it is either at rest or moving at a constant velocity. This also means there is zero acceleration (acceleration is any change in velocity).
-Velocity is also speed and direction, so if it changes direction (for example: moving backward or in a circle) it is not constant even if it has a constant speed. It also means the object is accelerating.
1: Nothing can be determined without additional information.
Incorrect, because it is solvable by the process of elimination.
2: The object must have zero average acceleration over the interval.
Correct, because zero acceleration equals zero change in velocity.
3: The object must be changing position.
Incorrect, because you don't know whether or not the object is accelerating.
4: The object must have zero average velocity over the interval.
Incorrect, because this implies it is at rest. To have zero change, it can be at rest OR moving at a constant velocity.
5: The object must have constant velocity over the interval.
Incorrect, because zero change in velocity can mean either be at rest OR moving at a constant velocity.
6: The object must begin and end at the same position.
Incorrect, because to begin and end at the same position implies that it was at rest or it changed direction while moving to end at the same position. (see Notes above for explanation)
7: The object must have constant acceleration over the interval.
Incorrect, because you can't have zero change in velocity if there is acceleration (Acceleration is any change in velocity).
8: The object must be at rest.
Incorrect, because to have zero change, it can be at rest OR moving at a constant velocity.