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Motion of a particle in x-y plane is described by a set of following equations x = 4 sin (π/2 - ω t) m and y = 4 sin(ω t) m. The path of the particle will be

Asked in JEE Main 28th June 1st Shift 2022 · Position and velocity vectors

• (1) circular
• (2) helical
• (3) parabolic
• (4) elliptical

Step-by-step solution

Why the other options are wrong

• (2) A helix needs a third coordinate advancing with time; the motion is in a plane.
• (3) A parabola would need one coordinate proportional to the square of the other.
• (4) An ellipse would need different amplitudes; both are 4 m.

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