Calculate the average velocity of the particle whose position vector changes from `vec(r_(1))=5hati+6hatj" to "vec(r_(2))=2hati+3hatj` in a tine 5 second.

Explanation

Average velocity,
`vec(v)_("arg") = (vec(r)_(2)- vec(r)_(1))/(Delta t) = (dr)/(dt)`
Given, `r_(1) = 5 hat(i) + 6 hat(j)`
`r_(2) = 2 hat(i) + 3 hat(j)`
`Delta t = 5 sec`
`:. Delta r = r_(2) - r_(1)`
`= (2 - 5) hat(i) + (3-6)hat(j)`
`= - 3 hat(i) - 3 hat(j)`
`:. vec(v) _("avg") = (Deltar)/(Delta t) = (-3 hat(i) - 3 hat(j))/(5) = (-3)/(5) (hat(i) + hat(j))`