Question

Figure 2.5 shows the displacement-time graphs (a) and (b) for a body moving in a straight path drawn on the same scales. Then :

• A. Slope of line in (a) is greater than the slope of line in (b)
• B. Slope of line in (b) is greater than the slope of line in (a)
• C. Slope of line in (a) is equal to the slope of line in (b)
• D. Nothing can be said about the slopes

Answer 1

The correct option is A Slope of line in (a) is greater than the slope of line in (b)

Slope of the line is equal to $\tan \theta$ where $\theta$ is the angle made by the line with the time axis.

Since from the graphs, the $\theta$ in (a) is greater than that in (b), so the value of $\tan \theta$ is greater in (a) and hence slope of line (a) is greater than slope of line in (b).