Topic: Position-time and velocity-time graphs· Kinematics

The displacement-time graphs of two moving particles make angles of 30° and 45° with the x-axis as shown in the figure. The ratio of their respective velocity is :

The displacement-time graphs of two moving particles make angles of \(30°\) and \(45°\) with the x-axis as shown in the figure. The ratio of their respective velocity is :

displacement-time graph, two lines at 30 and 45 degrees

1. 1 : \(\sqrt{3}\)

2. \(\sqrt{3}\) : 1

3. 1 : 1

4. 1 : 2

Doubtly Asked 30 Oct 2026 NEET UG 2022 Practice test neet Save WhatsApp Report

1 answer

Best answer

Answer: 1. 1 : \(\sqrt{3}\)

On a displacement-time graph, velocity equals the slope, \(v=\tan\theta\).

\(\dfrac{v_1}{v_2}=\dfrac{\tan30^\circ}{\tan45^\circ}=\dfrac{1/\sqrt3}{1}=1:\sqrt3\).

The 30 degree line is the lower one and has the smaller velocity. Option (1).

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

Was this answer helpful?

The displacement-time graphs of two moving particles make angles of 30° and 45° with the x-axis as shown in the figure. The ratio of their respective velocity is :

1 answer

Your answer