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A particle is moving such that its posit...

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

A

`(1)/(5)(13 overset ^ i+ 14 overset ^j)`

B

`(7)/(3)(overset ^ i + overset ^j)`

C

`2( overset ^i + overset ^j)`

D

`(11)/(5)(overset ^ i + overset ^ j)`

Text Solution

Verified by Experts

The correct Answer is:
A
`overset rarr v_(w//n)=(Delta overset rarr r)/(Delta t)=((13-2)overset ^i+(14-3)overset^j)/(5-0)=(11)/(5)(overset ^i + overset ^j)`
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