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     What does the path of an object look like when it is in uniform motion?

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An object is having a uniform motion if it covers equal distance in equal interval of time (which implies speed is constant!). So the path can be straight or curved.

For eg. Consider a circular path. For understanding purposes, divide the circumference of the circle in six equal parts each subtending 60^{\circ} at the centre. The object covers each equal part in equal amount of time. Hence, by definition, this object is in uniform motion.

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