Question

The following plot depicts the velocity of a body with time.

Which of the following statements regarding the plot is true?

• A. The acceleration of the body in region $\text{KL}$ is increasing.
• B. The acceleration of the body after $\text{L}$ is infinite.
• C. The acceleration of the body after $\text{L}$ is zero.
• D. The acceleration of the body in region $\text{OK}$ is decreasing.

Answer 1

The correct option is C The acceleration of the body after $\text{L}$ is zero.

In the given velocity-time plot of a body:

• The slope of the segment $\text{OK}$ is increasing, thus, the body's velocity is increasing with time till $\text{K}$, i.e. the acceleration of the body is also increasing, and is positive.
• The slope of the segment $\text{KL}$ is decreasing, thus, the body's velocity is decreasing with time till $\text{L}$, i.e. the acceleration of the body is also decreasing, and is negative.
• After $\text{L}$, the slope becomes constant, i.e. the body's velocity does not change with time. So, the acceleration after $\text{L}$ is zero.