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A particle is moving such that its pos...

A particle is moving such that its position coordinates (x,y) are (2m,3m) at time t=0 , (6m,7m) at time t=2s and (13m 14m) at time t=5s.
Average velocity vector `(vecV_(av))` from t=0 to t=5s is

A

`1/5(13 hati+14hatj)`

B

`7/3(hati+hatj)`

C

`2(hati+hatj)`

D

`(11)/5(hati+hatj)`

Text Solution

Verified by Experts

The correct Answer is:
D
At t=0 , `vecr_1=2hati+3hatj`
and at t=5 s , `vecr_3 =13 hati+14hatj`
`therefore V_(av)=((x_2hati-x_1hati)+(y_2hatj-yhatj))/(5)`
`=((13-2)hati+(14-3)hatj)/(5)`
`(11 hati+11hatj)/(5) =(11)/5 (hati+hatj)`
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