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

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 = a  t ³ and y = b  t ³ . The speed of the particle at time ‘t’ is given by

\(\sqrt{r^{2} + p'^{2}}\)

\(3x \sqrt{x^2 + y^2}\)

\(3x^{2} \sqrt{v^{2} + p^{2}}\)

\(t^{2} \sqrt{v_{x}^{2} + v_{y}^{2}}\)

Text Solution

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The correct answer is:

\dot{x} = m t^{c} and \(y = \beta x^{i}\) (given)

\(v_x = - \frac{dx}{dt} = -3t^2\) and \(v_y = -\frac{dy}{dt} - 3x^3\)

Resultant velocity \(v = \sqrt{v_{x}^{2} + v_{y}^{2}} = 3t \sqrt{v_{x}^{2} + v_{y}^{2}}\)

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