1.

Velocity of a particle at any time t is `v=(2 hati+2t hatj) m//s.` Find acceleration and displacement of particle at `t=1s.` Can we apply `v=u+at` or not?

Answer» Correct Answer - A::B
`v=(2 hati+2t hatj)`
(i) `a=(dv)/(dt)=(2hatj)m//s^2`=constant
`:. v=u+at` can be applied.
(ii) `s=int_0^1vdt=int_0^1(2hati+2thatj)dt=[2t hati+t^2 hatj]_0^1`
`=(2hati+hatj)m`


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