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Answer:
The speed of the submarine is 15.429 miles per hour.
Step-by-step explanation:
Let suppose that both ships travel at constant velocities. As we know that both travel in opposite directions, it is supposed that cruise ship moves in +x direction, whereas submarine in -x direction. Kinematic equations for each sheep are described below:
Ship
Submarine
Where:
- Position of Diego Garcia island, measured in miles.
,
- Current positions of ship and submarine, measured in miles.
,
- Velocities of ship and submarine, measured in miles per hour.
- TIme, measured in hours.
If we know that ,
and
, then:
We clear now the velocity of submarine:
Speed of the submarine is the magnitude of its velocity, which is 15.429 miles per hour.