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 1.17 km/s at
an initial inclination of 60.6
◦
to the horizontal.
The acceleration of gravity is 9.8 m/s
2
.
How far away did the shell hit?
Answer in units of km.
029 (part 2 of 2) 5.0 points
How long was it in the air?
Answer in units of s.
the upward velocity is 1170 sin60.6° = 1019 m/s
So to find how long it took to get to its max height, solve
1019 - 9.8t = 0
Then plug that value of t into the height formula
h(t) = 1019t - 4.9t^2