which of the following situations are impossible :

A) velocity negative, acceleration positive B) velocity positive , acceleration negative C) velocity increasing, acceleration negative D) velocity decreasing , acceleration zero E) velocity negative , acceleration negative

D) velocity decreasing, acceleration zero

Velocity can not change if there is no acceleration.

To determine which of the situations are impossible, let's consider the definitions of velocity and acceleration.

Velocity is the rate of change of displacement with respect to time. It describes the speed and direction of an object's motion.

Acceleration, on the other hand, is the rate of change of velocity with respect to time. It represents how quickly an object is changing its velocity.

Now let's analyze each situation to determine if it is possible or not:

A) Velocity negative, acceleration positive:
This situation is possible. An object moving in the negative direction (negative velocity) can experience positive acceleration, meaning that its speed is increasing in the negative direction.

B) Velocity positive, acceleration negative:
This situation is possible. An object moving in the positive direction (positive velocity) can experience negative acceleration, meaning that its speed is decreasing in the positive direction.

C) Velocity increasing, acceleration negative:
This situation is possible. An object can have an increasing velocity while experiencing negative acceleration. It simply means that its speed is increasing at a decreasing rate or slowing down.

D) Velocity decreasing, acceleration zero:
This situation is possible. If an object's velocity is decreasing, it implies that it is slowing down. If the acceleration is zero, it means that the object is not experiencing any additional increase or decrease in speed.

E) Velocity negative, acceleration negative:
This situation is possible. An object moving in the negative direction (negative velocity) can experience negative acceleration, which indicates that the object is slowing down in the negative direction.

Therefore, all of the given situations are possible and none of them are impossible.