Question

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

Answer 1

Correct Answer - A

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