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))`

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 airplane is moving with velocity v_0 horizontally at a height h. If a projectile is fired at the instant when the plane is overhead, What must be the angle of projection amd minimum velocity of projection in order that it may hit the airplane ?

An airplane is moving with velocity v_0 horizontally at a height h. If a projectile is fired at the instant when the plane is overhead, what must be the angle of projection and minimum velocity of projection in order that it may hit the airplane ?

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?

Show that the semi-vertical angle of the cone of the maximum volume and of given slant height is tan^(-1)sqrt(2)

A fightre plane flying horizontally at an altitude oa 1.5 km with speed 720 h^(-1) passes directly over head an anticraft gun. At what angle from the vertical should the gun be fired from the shell with muzzle speed 600 ms^(-1) to hit plane. At what minimum altitude showld the pilot fly the plane to avoid being hit ? ( Take g= 10 ms^(-2)).

A fighter plane flying horizontally at an altitude of 2km with speed of 540 kmph passes directly over head an anti aircraft gun.If the gun can fire a bullet at the muzzle speed of 500ms^( - 1) ,at what angle with the vertical the gun should fire the bullet so that the bullet hits the plane?

Consider a shell that has a muzzle velocity of 45ms^(-1) fired from the tail gun of an airplane moving horizontally with a velocity of 215 ms^(-1) . The tail gun can be directed at any angle with the vertical in the plane of motion of the airplane. The shell is fired when the plane is above point A on ground, and the plane is above point B on ground when the shell hits the ground. (Assume for simplicity that the Earth is flat)

An enemy air plane is flying horizontally at an altitude of 2.7km with a speed of 250ms^(-1) .An army man on the ground observed it when it is directly over his head.He fired an anti-aircraft gun with a muzzle speed of 500ms^(-1) ,such that the shell hits the plane.At what angle with the horizontal,gun should be fired?

A particle is projected horizontally with a speed V=5m/s from the top of a plane inclined at an angle theta=37^(@) to the horizontal (g=10m//s^(2)) What is the velocity of the particle just before it hits the plane?