# Homework Help: Projectile motion of a sailboat

1. Sep 22, 2009

### pierra

1. The problem statement, all variables and given/known data

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

2. Relevant equations

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

3. 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?

2. Sep 23, 2009

### tiny-tim

Welcome to PF!

Welcome to PF!

(it's hypotenuse! )
hmm … looks ok to me

do they want you to convert to km?

3. Sep 26, 2009

### pierra

Re: Welcome to PF!

Thanks for reply!

I forgot to convert that to km. :)

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