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The roads where we use the cycle are rough and thus have friction so when we stop paddling there remains no force to overtake the friction so then the kinetic friction slows down the bicycle as it continuously subtracts the forward moving force and so after sometime the cycle comes to rest.....

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The bicycle slows down because of the frictional force acting on the tyres of the bicycle. When this frictional force overcomes the force applied by paddling, the bicycle stops.
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