In the two dimensional motions:

\( x-t \) graph gives actual path of the particle
\( y-t \) graph gives actual path of the particle
\( \sqrt{x^{2}+y^{2}} \) versus t graph gives the actual path of the particle
\( y-x \) graph gives actual path of particle

Correct answer: \( y-x \) graph gives actual path of particle

Solution

The actual path of a particle in two-dimensional motion is its trajectory in the plane, which is described by the relation between x and y. A y-x graph shows this spatial curve directly, while x-t and y-t graphs only show how each coordinate varies with time.

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