A stone is projected horizontally with speed u from the top of a tower of height h.
(a) Calculate the radius of curvature of the path of the stone at the point where its tangential and radial accelerations are equal.
(b) What shall be the height (h) of the tower so that radius of curvature of the path is always less than the value obtained in (a) above.

Answer

(a) `R = (2sqrt(2)u^(2))/(g)` (b) `h lt (u^(2))/(2g)`