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A particle has initial velocity of (3hat...

A particle has initial velocity of `(3hat(i)+4hat(j)) m//s` and a acceleration of `(4hat(i)-3hat(j)) m//s^(2)`. Its speed after one second will be equal to :-

A

`0`

B

`10 m//s`

C

`5sqrt(2) m//s`

D

`25 m//s`

Text Solution

Verified by Experts

The correct Answer is:
C

`vec(v)_((1))=(3+4xx1)hat(i)+(4+(-3)xx1) hat(i)+(4+(-3)xx1)hat(j)=7hat(i)+hat(j)`
`|vec(v)_((1))|=sqrt(49+1)=5sqrt(2) m//s`
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