If velocity is positive and increasing then...

displacement is....
acceleration is....

If displacement is positive and increasing then......
acceleration is......
velocity is.....

If acceleration is positive and increasing then.........
displacement is.......
velocity is..........

If velocity is negative and increasing then.......
displacement is........
acceleration is.........

If displacement is negative and increasing then........
acceleration is.........
velocity is.........

If acceleration is negative and increasing then........
displacement is.........
velocity is........

If velocity is negative and decreasing then.......
displacement is.......

If displacement is negative and decreasing
acceleration is.......

If acceleration is negative and decreasing..........
displacement is...........

And what do you need? Most of these cannot be answered. They are examples of major constructs which are misleading.

Take the last for instance. Displacement depends on initial velocity and acceleration. If the initial veloicty were high, but acceleration was low negative, then likely displacement would be positive. If intial velocity was zero, or negative, with negative acceleration, then displacement would be negative.
Most of these are in this category. I hope this is not an example of the teaching or tests you regularily get.

To answer these questions, we need to understand the relationship between velocity, displacement, and acceleration.

Velocity is the rate of change of displacement with respect to time. It tells us how fast an object is moving and in which direction. Velocity can be positive (moving in one direction) or negative (moving in the opposite direction), depending on the object's motion.

Displacement is the change in position of an object from its initial position to its final position. It is a vector quantity, meaning it has both magnitude (size) and direction. Displacement can be positive (moving in one direction) or negative (moving in the opposite direction), depending on the object's motion.

Acceleration is the rate of change of velocity with respect to time. It tells us how quickly an object's velocity is changing. Acceleration can be positive (speeding up) or negative (slowing down), depending on the object's motion.

Now let's analyze each scenario:

1. If velocity is positive and increasing:
- Displacement: We cannot determine the displacement without knowing the time interval and additional information.
- Acceleration: We cannot determine the acceleration without knowing the time interval and additional information.

2. If displacement is positive and increasing:
- Acceleration: We cannot determine the acceleration without knowing the time interval and additional information.
- Velocity: We cannot determine the velocity without knowing the time interval and additional information.

3. If acceleration is positive and increasing:
- Displacement: We cannot determine the displacement without knowing the time interval and additional information.
- Velocity: We cannot determine the velocity without knowing the time interval and additional information.

4. If velocity is negative and increasing:
- Displacement: We cannot determine the displacement without knowing the time interval and additional information.
- Acceleration: We cannot determine the acceleration without knowing the time interval and additional information.

5. If displacement is negative and increasing:
- Acceleration: We cannot determine the acceleration without knowing the time interval and additional information.
- Velocity: We cannot determine the velocity without knowing the time interval and additional information.

6. If acceleration is negative and increasing:
- Displacement: We cannot determine the displacement without knowing the time interval and additional information.
- Velocity: We cannot determine the velocity without knowing the time interval and additional information.

7. If velocity is negative and decreasing:
- Displacement: We cannot determine the displacement without knowing the time interval and additional information.

8. If displacement is negative and decreasing:
- Acceleration: We cannot determine the acceleration without knowing the time interval and additional information.

9. If acceleration is negative and decreasing:
- Displacement: We cannot determine the displacement without knowing the time interval and additional information.

In most of these scenarios, additional information or specific time intervals would be needed to determine the values of displacement, velocity, and acceleration accurately.