An object is said to be in uniform motion if it covers equal distances in equal intervals of time how so ever big or small these time intervals may be.
For example, suppose a car covers 60 km in the first hour, another 60 km in the second hour, and again 60 km in the third hour and so on.
Meaning of how so ever big or small time intervals are - In this example, the car travels a distance of 60 km in each hour. For the motion to be uniform the car should travel 30 km in each half an hour, 15 km in every 15 minutes, 10 km in every 10 minutes, 5 km in every 5 minutes and 1 km in every 1 minute.
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