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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?

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Solution

The correct option is **C**

x2+(y−a)2=a2

So, it moves in circle with uniform speed.

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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