Question

The displacement (s) - time (t) graphs of two bodies A and B are shown in the figure. The ratio of the velocities of the two bodies A and B is

• A. \( 1 : \sqrt{3} \)
• B. \( 2 : \sqrt{3} \)
• C. \( \sqrt{3} : 1 \)
• D. \( \sqrt{3} : 2 \)

Hint:

In a displacement-time graph, the tangent (slope) represents velocity.

Answer 1

The Correct Option is C

The slope of s–t graph gives velocity.
Slope of A = \( \tan(45^\circ) = 1 \)
Slope of B = \( \tan(30^\circ) = \frac{1}{\sqrt{3}} \)
So, velocity ratio (A : B) = \( \frac{1}{\frac{1}{\sqrt{3}}} = \sqrt{3} : 1 \)