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Answered 2008-12-16 20:12:08

"Direction". The only difference between velocity and speed is that velocity is a vector while speed is a magnitude. Therefore, velocity has a direction, while speed does not.

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This can better be stated in terms of VELOCITY and acceleration. Acceleration is the rate of change of velocity, i.e., how quickly it changes - in symbols: a = dv/dt.

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No. It is the change in velocity (not speed) during a given interval of time. It can be an increase or a decrease although a decrease is also called a deceleration.The distinction between velocity and speed can best be illustrated by an object going round in a circle at a constant speed. It is changing direction all the time so that its velocity is constantly changing. It is constantly accelerating even though it is travelling at constant speed.

The question is poorly put. Perhaps your underlying concern is best addressed by explaining what 'speed' really means. 'Speed', by definition, is the absolute value of the velocity vector. The velocity is in turn the derivative of the vector (function) describing the object's position as a function of time. This is why we can have a constant speed even when the velocity is always changing, as happens with circular motion with the velocity always directed towards the center of the circle. So if the speed is non-zero, then there must be some motion. Is that what you mean by "show motion"?

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