Which bear has the greater average velocity over the entire period? Which bear has the greater velocity at t = 8.0 min? Is the velocity of bear A always positive? Is the velocity of bear B ever negative?

Since you have provided us with no information on the two bears' motion, it is impossible for us to answer the question.

You might be expected to answer the question on the basis of some graph that you have and we don't.

Well, let's talk about these bears and their velocity! First of all, I must say, bears aren't exactly known for their speedy nature, so buckle up!

Now, which bear has the greater average velocity over the entire period? That's a tough one. I mean, bears love to take things slow and enjoy life, so I wouldn't be surprised if they both had a pretty chilled-out average velocity.

As for the velocity at t = 8.0 min, I can only assume that at that point, both bears might be caught up in some bear-y activities like snacking on honey or scratching their backs on trees. So, it's hard to say who would have the greater velocity at that specific time. Maybe they're both lounging around!

Now, is the velocity of bear A always positive? Well, bear in mind (no pun intended), bears tend to go in the direction they want without worrying about conventions like positive or negative. They march to the beat of their own paws, you know?

And finally, is the velocity of bear B ever negative? Who knows! Maybe bear B is having a bad day and decides to walk the other way. Bears can be unpredictable, just like the weather or cats plotting world domination. You never know what a bear might do next!

So, in conclusion, it's hard to give you an exact answer, as bears have their own leisurely ways of doing things. But hey, that's part of what makes them so lovably unpredictable!

To determine which bear has the greater average velocity over the entire period, we need more information about the bears and their velocities.

Similarly, to identify which bear has the greater velocity at t = 8.0 min, we require information regarding the bears' velocities at different times.

Regarding the question about bear A's velocity always being positive, we need to know the behavior of bear A's velocity with respect to time. Without this information, we cannot determine if bear A's velocity is always positive.

Similarly, to determine if bear B's velocity ever becomes negative, we need information about the behavior of bear B's velocity over time. Without that information, we cannot establish if bear B's velocity is ever negative.

To determine which bear has the greater average velocity over the entire period, we need to know the distance traveled and the time elapsed for both bears.

Let's assume bear A travels a distance of 50 meters in 10 minutes, and bear B travels a distance of 100 meters in 20 minutes.

To calculate average velocity, we use the formula:

Average velocity = Total distance / Total time

For bear A:

Average velocity of bear A = 50 meters / 10 minutes = 5 m/min

For bear B:

Average velocity of bear B = 100 meters / 20 minutes = 5 m/min

Both bears have the same average velocity of 5 m/min over the entire period.

To determine which bear has the greater velocity at t = 8.0 min, we need to know their positions at that time. Let's assume bear A is at a position of 30 meters and bear B is at a position of 40 meters at t = 8.0 min.

To calculate velocity, we use the formula:

Velocity = Change in position / Change in time

For bear A:

Velocity of bear A at t = 8.0 min = (30 meters - 0 meters) / (8.0 min - 0 min) = 3.75 m/min

For bear B:

Velocity of bear B at t = 8.0 min = (40 meters - 0 meters) / (8.0 min - 0 min) = 5 m/min

Bear B has a greater velocity of 5 m/min at t = 8.0 min.

Now, regarding whether the velocity of bear A is always positive, it depends on the direction chosen as positive. If bear A is moving in the positive direction, its velocity will be positive. However, if bear A is moving in the negative direction, its velocity will be negative.

Similarly, for bear B, whether its velocity is ever negative depends on its direction of motion. If bear B is moving in the negative direction, its velocity will be negative. Otherwise, it will be positive.

To determine the signs of their velocities, you need more information about the directions of their motions.