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Theposition vector of a moving particle ...

Theposition vector of a moving particle at time t is `r=3hati+4thatj-thatk` Its displacement during the time interval `t=1` s to t=3` s is

A

`hatj-hatk`

B

`3hati+4hatj-hatk`

C

`9hati+36hatj-27hatk`

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
D
(d) Displacement,`S=r_(f)-r_(i)=r_(3)-r_(1)`
where `r_(f) and r_(i)` is the final and initial position vector of a particle during the time intervalt=1s to t=3s
`therefore r_(3)-r_(1)(3hati+12hatj-3hatj)-(3hati+4hatj-hatk)=8hatj-2hatk`
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