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

Initial velocity `vec(v_(1))=5hati+6hatj`
Final velocity `vec(v_(2))=2hati+3hatj` Average Velocity = ?
`V_("average")=(vec(v_(2))-vec(v_(1)))/(Deltat)=((2hati+3hatj)-(5hati+6hatj))/(5)`
`=((205)hati+(3-6)hatj)/(5)=(-3hati-3hatj)/(5)`
`V_("average")=(-3)/(5)(hati+hatj)`