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A particle is moving in x-y plane. At an...

A particle is moving in x-y plane. At an instant, it has velocity `(4 hat (i) + 4 hat(j)) m//s` and acceleration `(3 hat(i) + 5 hat(j)) m//s^(2)` At that instant, the radius of curvature of its path will be :

A

`16 sqrt(2) m`

B

15 m

C

18 m

D

Non of these

Text Solution

Verified by Experts

The correct Answer is:
A


`R=(v^(2))/(a_(n))=((4sqrt(2))^(2))/((5-3)xx(1)/(sqrt(2)))`
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