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 2.05 km/s at
an initial inclination of 71.7
to the horizontal.How far away did the shell hit?
Answer in units of km
u = 2.05 km/s
Angle = 71.7
Now as we know the formula for horizontal distance
R = u^2 sin( 2 theta) / g
R = (2.05)^2 sin( 2 (71.7)) / 9.8
R = (4.2025) sin(143.4) / 9.8
R = (4.2025) (0.5962) / 9.8
R = (2.5055305) / 9.8
R = 0.256 km
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