the height of the shell is modeled by
h(t) = 2390 sin24.5° t - 4.9t^2 = 991.1t - 4.9t^2
flight time = 991.1/4.9 = 202.24 seconds
range = 2390^2/9.8 sin49° = 439.9 km
you will find much useful trajectory information in the wikipedia article on that subject.
During WW1, the Germans had a gun called Big Bertha that was used to shell Paris. The shell had an initial speed of 2.39km/s at an initial inclination of 24.5 degrees to the horizontal.
The acceleration of gravity is 9.8m/s^2
How far away did the shell hit?
answer in units of Km
How long was it in the air?
Answer in units of s.
1 answer