Question

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

• A. $2meter$
• B. $4meter$
• C. $8meter$
• D. $16meter$

Answer 1

The correct option is C $8meter$

The figure shows the velocity and acceleration of a point like body at the initial moment of its motion. The acceleration vector of the body remains constant.

$v_0=8m/s,a=2m/s\theta ={150}^{0}r=\frac{8^2}{a}{v}_{0}x=\frac{v_0}{2}\frac{v_0^2}{r}x=ar=\frac{v_0^2}{8}r=8$