The figure shows th velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remain constant. The minimum radius of curvature of trajectory of the body is

Options

A. `2m`
B. `3m`
C. `8m`
D. `16m`

Answer

c

Explanation

The acceleration vector shall change the component of velocity `u_(||)` along the acceleration vector.

`r=(v^(2))/(a_(n))`
Radius of curvature `r_(mi n)` means v is minimum and `a_(n)` is maximum. This is at point P when component of velocity parallel to acceleration vector becomes zero, that is `u_(||)=0`.
`:. R=(u_(bot)^(2))/a=(4^(2))/2=8m`