Answer: North of west
Explanation:
Given
40,000-ton luxury line traveling 20 knots towards west and
60,000 ton freighter traveling towards North with 10 knots
suppose v is the common velocity after collision
conserving momentum in west direction
suppose the final velocity makes \theta angle with x axis
Conserving Momentum in North direction
divide 1 and 2
so search in the area North of west to find the ship
The percent difference between two numbers and
is given by
The absolute value is there because we only care about the absolute percent difference, and not taking into account whether we go from to
or vice versa. If we remove them, we have two possible interpretations of percent difference.
For example, the (absolute) percent difference between 3 and 6 is
In other words, we add 100% of 3 to 3 to end up with 6. This is the same as the percent difference going from 3 to 6. On the other hand, the percent difference going from 6 to 3 is
which is to say, we take away 50% of 6 away from 6 to end up with 3.
"Make comparisons to object measurements" tells us that the differences should be computed relative to "measurements for object". In other words, take from the left column and
from the right column.