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Usually average speed means the rationof...

Usually average speed means the rationof total distace travelled to the total time elapsed. However, sometimes thephrase ` average speed can be the magnitude of the average velocity. Are the two same ? Discuss.

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No, usually they have different meanings, as according to I-definition,` V ("distance")/(time) ` , while according to II-
difinition ` v_(av) = av(|"displacement"|)/("time")` .Now as distance ` ge 1 `
displacement ` |,so v_(av) ge | vecv _(av)|`
i.e. usually average speed is greater than the magnitude of average velocity
e.g. If a body returns to its starting point after some motion, then as distance travelled is finite while
However in case of motion along a straight-linie without change in in direction, as |displacement | = distance, the two definition will mean same.
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