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
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
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In a displacement-time graph, the tangent (slope) represents velocity.
Updated On: Mar 16, 2026
- \( 1 : \sqrt{3} \)
- \( 2 : \sqrt{3} \)
- \( \sqrt{3} : 1 \)
- \( \sqrt{3} : 2 \)
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The Correct Option is C
Solution and Explanation
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) = \( \frac{1}{\frac{1}{\sqrt{3}}} = \sqrt{3} : 1 \)
Slope of A = \( \tan(45^\circ) = 1 \)
Slope of B = \( \tan(30^\circ) = \frac{1}{\sqrt{3}} \)
So, velocity ratio (A : B) = \( \frac{1}{\frac{1}{\sqrt{3}}} = \sqrt{3} : 1 \)
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