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In a two dimensional motion, instantaneous speed $v_{0}$ is constant. Then which of the following are necessarily true?

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The acceleration of the particle is zero.

The acceleration of the particle is bounded.

The acceleration of the particle is necessarily in the plane of motion.

The particle must be undergoing a uniform circular motion

answer is C.

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Detailed Solution

In two dimensional motion, if instantaneous speed is constant, then the acceleration of the particle is necessarily in the plane of motion and acceleration must always be perpendicular to the direction of motion .

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