what does it mean a body may posses different velocities what the same speed
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this means that a body is moving in different direction but in same speed
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In physics, distances between things are measured differently. Sometimes the directionof an object away from a point is important.
Distance and displacement are different. If a particular quantity has only a magnitude, we call it a scalar quantity. However if a quantity has magnitude and direction, we call it avector quantity. Displacement is measured as the minimum distance (a straight line) from the origin to the object being considered (which takes direction into account - you can have positive or negative displacement - because the object moving in a circle can be North, South, East, West or anything in between - away from the origin). If you define North and East as positive, when the object is in the South-West direction it will have negative displacement. However the distance of the object from the same point isn't measured using direction. In other words distance can only ever be a positive value.
Velocity is also a vector quantity. This means that like displacement, direction is considered as well as magnitude. Velocity is defined as therate of change of displacement - or mathematically - displacement divided by time. Time is a scalar. It's magnitude is measured but there is no direction. When we divide a vector by a scalar we still get a vector because there is still a direction involved.
So for the velocity of an object moving in a circle to change, either the direction of it (relative to the centre of the circle) or the speedof the object have to change.
Distance and displacement are different. If a particular quantity has only a magnitude, we call it a scalar quantity. However if a quantity has magnitude and direction, we call it avector quantity. Displacement is measured as the minimum distance (a straight line) from the origin to the object being considered (which takes direction into account - you can have positive or negative displacement - because the object moving in a circle can be North, South, East, West or anything in between - away from the origin). If you define North and East as positive, when the object is in the South-West direction it will have negative displacement. However the distance of the object from the same point isn't measured using direction. In other words distance can only ever be a positive value.
Velocity is also a vector quantity. This means that like displacement, direction is considered as well as magnitude. Velocity is defined as therate of change of displacement - or mathematically - displacement divided by time. Time is a scalar. It's magnitude is measured but there is no direction. When we divide a vector by a scalar we still get a vector because there is still a direction involved.
So for the velocity of an object moving in a circle to change, either the direction of it (relative to the centre of the circle) or the speedof the object have to change.
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