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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 hati +14 hatj)`

B

`(7)/(3)(hati +hatj)`

C

`2(hati - hatj)`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
Average velocity, `v_(av) = ("Net displacement")/("Time taken")`
`= ((13 -2)hati+(14-3)hatj)/(5)`
`= (11 hati + 11 hatj)/(5) = (11)/(5) (hati +hatj)`
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