

AntiBalloon Gun Problem An observation balloon floats over the Enemy lines and the defenders decide to shoot it down. The defending gunners determine the balloon is 3015 m above the ground at a distance of 5000 m. They fire a cannon at an angle of 40° with respect to the horizon with an initial velocity of 760 m/s.


Solution Place the origin at the bottom of the antiballoon gun. Define horizontal as the xdimension with negative to the left and vertical as the ydimension with negative downward. 



Conclusion and Significance Typically the gun crew would be able to measure the range and height, but they would have to calculate the angle. Air resistance and wind would complicate the situation. 