In the graph, which two regions show the particle undergoing zero acceleration and negative acceleration respectively? A. BC shows zero acceleration, and AB shows negative acceleration.
B. AB shows zero acceleration, and CD shows negative acceleration.
C. BC shows zero acceleration, and CD shows negative acceleration.
D. AB shows zero acceleration, and BC shows negative acceleration.

Option C. BC shows zero acceleration, and CD shows negative acceleration.

Explanation:

To successfully answer the question given above, we must know the meaning of zero acceleration and negative acceleration respectively.

Zero acceleration simply means the object is not accelerating. This implies that velocity of the object is constant (i.e unchanged) with time.

Negative acceleration simply means the object is decelerating i.e coming to rest.

Now, let us answer the question given above.

From the question given above, the following data were obtained:

1. AB indicates that the particle is accelerating because the velocity increased from A to B with time.

2. BC indicates zero acceleration because the velocity of the Particle is constant (i.e unchanged) with time.

3. CD indicates that the object is coming to rest i.e decelerating (negative acceleration) because the velocity of the object decreased from C to D with time.

From the above illustrations, we can see that only option C gives the correct answer to the question.