Question:

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

Updated On: Dec 30, 2025
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is B

Solution and Explanation

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.

Was this answer helpful?
0
0

Concepts Used:

Speed and Velocity

The rate at which an object covers a certain distance is commonly known as speed.

The rate at which an object changes position in a certain direction is called velocity.

Difference Between Speed and Velocity:

Difference Between Speed and Velocity

Read More: Difference Between Speed and Velocity