A projectile is required to hit a target whose co-ordinates relative to horizontal and vertical axes through the point of projection are `(alpha, beta)` If the projection speed is `sqrt(2g alpha)`. Then the condition when it is impossible to hit the target is

A projectile is required to hit a target whose coordinates relative to the horizontal and vertical axes through the point of projectile are (a,b) . If the muzzle velocity is sqrt(2ga) , show that it is impossible to hit the target if b ge3/4a .

A projectile is aimed at a mark on a horizontal plane through the point of projection and falls 6 m short when its elevation is 30° but overshoots the mark by 9 m when its elevation is 45^@ . The angle of elevation of projectile to hit the target on the horizontal plane is :

A projectile is aimed at a mark on a horizontal plane through the point of projection and falls 6 m short when its elevation is 30° but overshoots the mark by 9 m when its elevation is 45^@ . The angle of elevation of projectile to hit the target on the horizontal plane is :

A projectile is aimed at a mark on the horizontal plane through the point of projection and falls 12 m short when the angle of projection is 15^(@) , white it overshoots the mark by 24 m when the angle of projection is 45^(@) . Find the angle of projection to hit the mark.

A projectile aimed at a mark, which is in the horizontal plane through the point of projection, falls a cm short of it when the elevation is alpha and goes b cm far when the elevation is beta . Show that, if the speed of projection is same in all the cases the proper elevation is 1/2 sin^(-1) [(bsin2alpha+asin2beta)/(a+b)] .

A projectile aimed at a mark, which is in the horizontal plane through the point of projection, falls a cm short of it when the elevation is alpha and goes b cm far when the elevation is beta . Show that, if the speed of projection is same in all the cases the proper elevation is 1/2 sin^(-1) [(bsin2alpha+asin2beta)/(a+b)] .