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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
(d): The distance covered in 5 seconds
`x=13m-2 m=11m`
`y=14m-3m=11m`
Average velocity `=(xhati+yhatj)/("Time")`
`=(1)/(5)(11hati+11hatj)`
`=(11)/(5)(hati+hatj)`
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