A sailboat tacking against the wind moves as follows:(adsbygoogle = window.adsbygoogle || []).push({});

5.8 km at 45 degrees east of north, and then

4.5 km at 50 degrees west of north.

The entire motion takes 1 h 15 min

What is the total displacement?

What is the average velocity of this section of the trip?

What is the speed, if it is assumed to be constant?

Total Displacement

/\x = 5.8*sin(45) + 4.5*sin(-50)= 6.116 km

/\y = 5.8*cos(45) + 4.5*cos(-50)= 7.389 km

/\d = sqrt(/\x^2 + /\y^2) = 9.592 km = 9592 m

Average Velocity

v= r/t

How do I figure out the rest from this information? Any help would be appreciated.

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# Homework Help: Total displacement of sail boat

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