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Question

# For a particle moving in the x – y plane, the X and Y coordinate are changing as X=a sinωt and y=a(1−cosωt), where a and ω are constants. Then, what can be inferred for the trajectory of the particle?

A
The trajectory is parabolic
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B
The trajectory is elliptical
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C

The trajectory is such that distance moved by the particle is directly proportional to time

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D
The trajectory of the particle is equidistant from the origin at every instant of time.
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Solution

## The correct option is C The trajectory is such that distance moved by the particle is directly proportional to time x2+(y−a)2=a2 So, it moves in circle with uniform speed.

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