The USS Missouri

1) The USS Missouri is a battleship with 16-inch guns. A projectile is fired from one of the
guns at an angle of elevation ϴ = 42o from the sea-level with a velocity Vo = 820 m/s. Neglecting
air resistance and assuming the projectile is fired across the sea, using Matlab determine:
(a) How much time the projectile will be in flight (tf).
(b) How far away from the battleship the projectile will hit the surface of the sea (xmax).
(c) Plot height vs. distance from the battleship for x = 0 to xmax. Use 100 data points in your
distance vector. Your plot should include title, labels on the x and y axes, and dashed blue
line for the trajectory.
The equations of motion for the projectile are: x(t) = Vox t
Vox = Vox cosϴ
Y(t) = Voy t – 4.9 t2
Voy = Vo sinϴ
2) (10 points) Determine the moment of force ?஺ = ? × ? about the point where a bracket is
attached to a wall. The bracket is shown below. Your answer should be in ft-lb, so you’ll need
to do some conversions of units.
3) Use both matrix left division and the matrix inverse methods in MATLAB to solve
the following system of equations.
2?
ଵ + ?ଶ − ?ଷ + 3?ସ = 0
3?
ଵ − 2?ଶ + ?ଷ − 4?ସ = −24
?
ଵ + ?ଶ − ?ଷ + ?ସ = 2
?
ଵ − ?ଶ + 2?ଷ − 5?ସ = −16