Question
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.
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.
Answers
oobleck
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.
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.