Asked by rina

the ships leaves a port with a constant course and constant speed. after 2 hours the ship is 55miles south and 20 miles west of port. what is its course and speed?

Answers

Answered by MathMate
Let x=east, y=north, then
the location of the ship after two hours is
(-20, -55)
Since it has constant course and speed, after one hour, it is at
(-10,-27.5)
The course is tan<sup>-1</sup>(-10/(-27.5)) west of south, and the speed is the distance travelled, using Pythatorean theorem,
s=sqrt(-10)²+(-27.5)²)

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