Question

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph ?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The Correct Option is B

To determine the shape of the acceleration-time graph corresponding to the given velocity-time graph with the shape AMB, let's analyze each section of the graph:

1. The velocity-time graph initially shows a linear increase. This indicates a constant positive acceleration during this interval. Hence, on the acceleration-time graph, this would be represented as a horizontal line above the time-axis (positive acceleration).
2. At the top of the graph (point M), the velocity reaches a maximum before decreasing. This suggests that the acceleration is zero at this point, as the velocity remains constant momentarily.
3. Following point M, there is a linear decrease in velocity, indicating a constant negative acceleration. Thus, the acceleration-time graph would represent this as a horizontal line below the time-axis (negative acceleration).

Given these observations, the acceleration-time graph corresponding to the velocity-time graph shape AMB can be visualized as:

The correct option is the second image, where the graph first has a horizontal line in the positive region, then dips to zero, and finally has a horizontal line in the negative region. This accurately reflects the phases of constant positive acceleration, zero acceleration at the peak, and constant negative acceleration as the velocity decreases.