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

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

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

A projectile is fired at speed v at an angle theta with horizontal. If radius of curvature at the tip equals half the maximum height, when theta = tan^(-1) sqrtx . What is x ?

The equation of a trajectory of a projectile is y=8x-4x^(2) . The maximum height of the projectile is ?

The ratio of the speed of a projectile at the point of projection to the speed at the top of its trajectory is x. The angle of projection with the horizontal is

A javelin thrown into air at an angle with the horizontal has a range of 200 m. If the time of flight is 5 second, then the horizontal component of velocity of the projectile at the highest point of the trajectory is

A stone is launched upward at 45^(@) with speed v_(0) . A bee follow the trajectory of the stone at a constant speed equal to the initial speed of the stone. (a) Find the radius of curvature at the top point of the trajectory. (b) What is the acceleration of the bee at the top point of the trajectory? For the stone, neglect the air resistance.