Question

In: Physics

The hunt for Red October is on! (Remember the 1990 Sean Connery

The hunt for Red October is on! (Remember the 1990 Sean Connery

Solutions

Expert Solution

Assuming that the direction vectors are with respect to the surface ships

Location vector of Repulse = 4i

Location vector of Bedford = 5j

Let the 2d - equation of the line joining Repulse and submarine be y = mx + c

m = slope = 0-3/4-2 = -1.5

c = y - mx = 1.5 x 4 + 0 = 6

Therefore, y = -1.5x + 6

Let the 2d - equation of the line joining Bedford and submarine be y = ax + b

a = slope = -6-5/18 = -11/18

b = y - ax = 11/18 x 18 - 6 = 5

Therefore, y = -11/18x + 5

The point of intesection of these two lines can be obtained by solving the two equations we get the point x= 1.12359 and y= 4.31462

Therefore the location of the sub = (1.12,4.31,-0.33)

Direction in which the sub is moving is along = (1.12 - 2 )i + (4.31 +1)j = -0.88 i + 5.31j

Distance move in 4 min = distance between the two points = 5.38 x 1000 ft

In 20 min, distance travelled = 5 x 5.38 x 1000 ft = 26912 ft

Therefore magnitude of the vector along which the aircraft has to be sent = 26.912

Direction of the vector is along which the aircraft has to be sent= -0.88 i + 5.31j + k


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