The coordinates of a moving particle at any time are given …

Physics Motion in a Straight Line Non-Uniform Motion Single Correct MCQ

Published on: September 13, 2026

The coordinates of a moving particle at any time are given by \(x = \frac{1}{2}at^{2}\) and y = b t^{2} . The speed of the particle at any moment is

2t(a + b)

\(2t\sqrt{a^{2} - b^{2}}\)

\(t \sqrt{a^{2} + b^{2}}\)

\(2t\sqrt{a^{2}+b^{2}}\)

Text Solution

Verified by Experts

The correct answer is:

Velocity along X -axis \(v_{x} = \frac{dx}{dt} = 2at\)

Velocity along Y -axis \(v_{y} = \frac{dy}{dt} = 2bt\)

Magnitude of velocity of the particle,

\(v = \sqrt{v_x^2 + v_y^2} = 2t \sqrt{a^2 + b^2}\)

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