The coordinates of a moving particle at any time ‘t’ are gi…

Physics Motion in a Plane Non-uniform Circular Motion Single Correct MCQ

Published on: September 12, 2026

The coordinates of a moving particle at any time ‘t’ are given by x = α α t 3 and y = β β t 3 . The speed of the particle at time ‘t’ is given by

\(\sqrt{\alpha^{2} + \beta^{2}}\)

\(3t\sqrt{\alpha^{2}+\beta^{2}}\)

\(3t^{2} \sqrt{\alpha^{2} + \beta^{2}}\)

\(t^{+2} \sqrt{\alpha^{2} + \beta^{2}}\)

Text Solution

Verified by Experts

The correct answer is:

\(x = \alpha t^{3}\) and \(y = \beta t^{2}\) (given)

\(v_x = \frac{dx}{dt} = 3 \alpha t^2\) and \(v_{y} = \frac{dy}{dt} = 3 \beta t^{2}\)

Resultant velocity \(= V = \sqrt{v_x^2 + v_y^2} = 3t^2 \sqrt{\alpha^2 + \beta^2}\)

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