Question

Figure shows the displacement-time graph (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)

The slope of the graph is measured with a tan of the angle between the displacement axis and time axis.

$\tan \theta =\frac{displacement}{time}$

Therefore more the graph is inclined towards the displacement axis more is its slope. Hence Slope of line in (a) is greater than the slope of the line in (b)