The average velocity and the instantaneous velocity of an object will be the same if _______.Group of answer choicesThe object’s velocity is always positive.The object’s speed is zero.The object’s speed is constant.The object’s acceleration is constant.

The average velocity and the instantaneous velocity of an object will be the same if the object’s speed is constant.

Here's why:

1. Average velocity is defined as the total displacement divided by the total time taken. In other words, it's the overall change in position divided by the total time.

2. Instantaneous velocity, on the other hand, is the velocity of an object at a specific point in time. It's the rate of change of position at a particular instant.

3. If an object's speed is constant, it means the object is moving at the same rate throughout the entire time period. Therefore, the rate of change of position (which is velocity) at any given instant (instantaneous velocity) will be the same as the overall rate of change of position (average velocity).

4. The other options do not necessarily result in the average and instantaneous velocities being the same. For example, even if an object's velocity is always positive, it could still be changing (accelerating or decelerating), so the average and instantaneous velocities could be different. Similarly, if an object's acceleration is constant, it means the velocity is changing at a constant rate, but again, the average and instantaneous velocities could be different. And if the object's speed is zero, then both the average and instantaneous velocities would be zero, but this is a special case and not generally applicable.