A bomb (JDAM) is released at t=0 with an initial velocity along the horizontal direction, vb = 200 m/s. A anti-aircraft system (LD-2000) fires immediately to intercept the bomb. The projectiles (from the gun) have an initial speed (muzzle velocity) of va = 1,000 m/s. The distance between the bomb and the anti-aircraft gun is shown in the graph. Neglect aerodynamic effects.(1) Determine the angle θ for the projectiles that allows successful interception.(2) Identify the time t’ and the height h at which the projectiles hit the bomb.
A bomb (JDAM) is released at t=0 with an initial velocity along the horizontal direction, vb = 200 m/s. A anti-aircraft system (LD-2000) fires immediately to intercept the bomb. The projectiles (from the gun) have an initial speed (muzzle velocity) of va = 1,000 m/s. The distance between the bomb and the anti-aircraft gun is shown in the graph. Neglect aerodynamic effects.
(1) Determine the angle θ for the projectiles that allows successful interception.
(2) Identify the time t’ and the height h at which the projectiles hit the bomb.
