A body is said to be in uniform motion if the body covers equal distance in equal intrevals of time.Then why is it said that when a body is in rest,it is in uniform motion?
"Rest" is a special case of uniform motion. The "equal distance" travelled in equal time intervals just happens to be zero.
When we say that a body is "in rest," it means that the body is not moving or changing its position with respect to a reference point. In this case, the body is not covering any distance at all. However, rest can still be considered a form of uniform motion.
To understand this, we need to go back to the definition of uniform motion. In uniform motion, a body covers equal distances in equal intervals of time. So, for a body in rest, it is indeed covering equal distance but in this case, the distance covered is zero because the body is not moving.
This means that even though no distance is being covered, the body is still following the pattern of covering equal distances (in this case, zero distances) in equal intervals of time. Therefore, we can consider the state of "rest" as a special case of uniform motion, where there is no change in position over time.
So, when we say a body is in rest, we are essentially saying it is in uniform motion, but the equal distance covered in equal intervals of time happens to be zero.