Projectile motion of a sailboat

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pierra
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Homework Statement



A sailboat runs before the wind with a constant speed of 3.9m/s in a direction 44 north of west.
How far west has the sailboat traveled in 23min ?
How far north has the sailboat traveled in 23min ?
Answer in two sigfigs

Homework Equations



hypothesis*cos(theta)=x
hypothesis*sin(theta)=y


The Attempt at a Solution



23min=1380seconds
3.9*1380=5382(the length of hypothesis)

Sailboat traveled distance of WEST in 23min : 5382*cos(44)=3871.486805
two sigfigs : 3900

Sailboat traveled distance of NORTH in23min: 5382*sin(44)=3738.65136
two sigfigs : 3700

*:multiply

I solve like this but its wrong.
What did I do wrong?
 
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Welcome to PF!

Welcome to PF! :smile:

(it's hypotenuse! :wink: :biggrin:)
pierra said:
A sailboat runs before the wind with a constant speed of 3.9m/s in a direction 44 north of west.
How far west has the sailboat traveled in 23min ?
How far north has the sailboat traveled in 23min ?
Answer in two sigfigs

Sailboat traveled distance of WEST in 23min : 5382*cos(44)=3871.486805
two sigfigs : 3900

Sailboat traveled distance of NORTH in23min: 5382*sin(44)=3738.65136
two sigfigs : 3700

hmm … looks ok to me :smile:

do they want you to convert to km?
 


Thanks for reply!

I forgot to convert that to km. :)