At what angle `theta_(0)` with the horizontal, should a shell be fired if at the top of its trajectory its path has a radius of curvature equal to twice the maximum height of the trajectory

The angle is 5x in degree with the horizontal, at which a shell be fired if at the top of its trajectory its path has a radius of curvature equal to twice the maximum height of the trajectory. Find x

A particle is projected from ground at an angle theta with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is -

A particle is projected from ground at an angle theta with horizontal with speed u. The ratio of radius of curvature of its trajectory at point of projection to radius of curvature at maximum height is -

What is the acceleration of a projectile at the top of its trajectory ?

A particle is projected with a speed u at an angle theta with the horizontal . If R_(1) is radius of curvature of trajectory at the initial point and R_(2) is the radius of curvature at the highest point . Value of R_2//(R_(1) is found to be cos ^(n) theta . What is the value of n ?

A particle is projected with an initial velocity u, making an angle theta with the horizontal. Find the equation of the trajectory of the particle at any instant after the projection. Find expressions for the maximum height gained by the particle and its horizontal range.

A particle is projected with speed u at angle theta to the horizontal. Find the radius of curvature at highest point of its trajectory