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

DATA:

u = 2.05 km/s

Angle = 71.7

Solution:

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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