A jet plane files horizonally at a height h at a speed v. An anti-aircraft gun fires a shell at the plane when it is

vertically above the gun. Show that the minimum muzzle speed required to hit the plane is `sqrt(v^(2)+2gh)` at an angle `tan^(-1)sqrt(2gh)/(v)`

An Aeroplane flies horizontaily at a height h at a speed v. An anti-air craft gun fires a shell at the plane when it is vertically above the gun. Show that the minimum muzzle velocity required to hit the plane is sqrt(v^2+2gh) at an angle tan^(-1)((sqrt(2gh))/(v))

An aeroplane flies horizontally at a height h at speed v. An anti - carft gun a shell at the plane when it is vertically above the gun . Show that the minimum muzzle velocity required to hit the plane is sqrt(v^(2) + 2gh) at an angle tan^(-1) ((sqrt(2gh))/(v)) .

An aeroplane flies horizontally at a height h at speed v. An anti - carft gun a shell at the plane when it is vertically above the gun . Show that the minimum muzzle velocity required to hit the plane is sqrt(v^(2) + 2gh) at an angle tan^(-1) ((sqrt(2gh))/(v)) .

An enemy plane is flying horizontally at an altitude of 2km with a speed of 300 ms^(-1) .An army man with an anti-aircraft gun on the ground sights enemy plane when it is directly overhead and fires a shell with a muzzle speed of 600ms^(-1) .At what angle with the vertical should the gun be fired so as to hit the plane?