# A particle is projected  with a velocity u at an angle thyta with the horizontal . find the radius  of the  parabola traced out by the particle  at the point  where velocity makes an angle thyta/2 with the horizontal.

Dear Student,

Given that the initial velocity of the particle is U. The object is projected at an angle θ. Then the horizontal and vertical components of the initial velocity are,

Let after t time of projection, the particle is making an angle $\theta }{2}$. Therefore,

Therefore, the radius of curvature is,