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Define average velocity of a particle. R...

Define average velocity of a particle. Represent the same in vector form.

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The average velocity of a particle is the ratio of the displacement and the corresponding time interval

`/_\vecr=vecr_1-vecr=(x_1hati+y_1hatj)-(xhati+yhati)`
`/_\vecr=(x_1-x)hati+(y_1-y)hatj`
hence `v_("ave")=(/_\vecr)/(/_\t)=(/_\xhati+/_\yhatj)/(/_\t)=(/_\x)/(/_\t)hati+(/_\y)/(/_\t)hatj`
i.e. `v_("ave")=(v_x)_("ave")hati(v_y)_("ave")hatj`
or `vecv=v_xhati+v_yhatj`
Note: The direction of average velocity is the same as the direction of displacement.
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