The velocity and acceleration of a point-like body at the initial moment of its motion are v 0 = 8 m s - 1 and a = 2 m s - 2 respectively. The acceleration vector of the body remains constant. The minimum radius of curvature of the trajectory of the body is

Step-by-step solution

The acceleration vector shall change the component of velocity u II along the acceleration vector. r = v 2 a n The radius of curvature r min   means v is minimum and a n is maximum. This is at the point P when the component of velocity parallel to the acceleration vector becomes zero, that is u II = 0. ∴    R = u ⊥ 2 a = 4 2 2 = 8  m