Posted by Anonymous on .
During World War I, the Germans had a gun called Big Bertha that was used to shell Paris. The shell had an initial speed of 2.11 km/s at an initial inclination of 39.4◦ to the horizontal. The acceleration of gravity is 9.8 m/s2 . How far away did the shell hit? Answer in units of km.
Range = (Vo^2/g)*sin(2A)
A = 39.4 degrees
Vo = 2110 m/s
Plug in the numbers and crank out the answer. Then convert range in meters to km
Range = 446 km
The actual muzzle veloclity and range were quite a bit less than that, according to the reference.