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The position vector of a moving particl...

The position vector of a moving particle at seconds in given by `vecr=3hati+4t^(2)hatj-t^(3)hatk`.Its displacement during an interval of `1s` to `3s` is

A

`hatj-hatk`

B

`3hati+4hatj-hatk`

C

`9hati+36 hatj-27hatk`

D

`32hatj-26hatk`

Text Solution

Verified by Experts

The correct Answer is:
D

Position vector at `(t=1 sec)` is `vecr_(1)`
Position vector at `(t=3 sec)` is `vecr_(3)`
Displacement `vecs=vecr_(3)-vecr_(11)`
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