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That is the case when you are talking about instantaneous speed and velocity - or when the velocity is constant. In the case of an average speed and velocity, this relation does not hold.

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Speed is equal to the magnitude of velocity when the object is moving in a straight line without changing direction. In other words, if the velocity vector is pointing in the same direction as the motion of the object, then the speed will be equal to the magnitude of the velocity.

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Always

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Q: When is speed equal to the magnitude of velocity?
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Does speed have magnitude only?

No, speed is a scalar quantity that only has magnitude and no direction. It is the rate at which an object covers distance. Velocity, on the other hand, is a vector quantity that includes both magnitude and direction.


Why is velocity a vector quantity?

Velocity refers to both speed and direction. A vector refers to both magnitude (the speed in this case) and a direction. Speed without reference to a direction is a scalar, a magnitude without direction.


Is the average speed equal to the magnitude of the average velocity justify your answer?

No, the average speed and magnitude of average velocity are not always equal. Average speed is the total distance traveled divided by the total time taken, while average velocity is the displacement divided by time, including direction. If an object changes direction during the motion, then the average speed and average velocity will differ.


Explain the difference between velocity and speed?

Velocity includes both speed (magnitude of the velocity) and direction, while speed is just the magnitude of the velocity without any indication of direction. So velocity is a vector quantity, whereas speed is a scalar quantity.


Can an object have a constant speed and a varying velocity?

Yes, an object can have a constant speed but varying velocity if it changes direction while moving at that speed. Velocity includes both speed and direction, so if an object is moving in a straight line at a constant speed but changing direction, then its velocity is constantly changing even though its speed remains the same.