# [b]1. The problem statement, all variables and given/known

#### Joe91090

1. Homework Statement

A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 1.6m to the north, 7.4m northeast, and 3.7m 57 degrees west of south. starting from the same initial postion, an expert golfer could make the hole in a single displacement. What is the magnitude of this single displacement ?

2. Homework Equations

SOH CAH TOA

3. The Attempt at a Solution

IM confused if northeast is enough information to solve the problem. I used SOH CAH TOA to find the lengths of the sides of the triangle and put northeast as 45 degrees but im not sure if that correct. I subtracted the vectors and used the pathagreon theroum to find the displacement but my answer can out inncorrect.

Related Introductory Physics Homework Help News on Phys.org

#### LowlyPion

Homework Helper
Re: Vectors

1. Homework Statement

A novice golfer on the green takes three strokes to sink the ball. The successive displacements are 1.6m to the north, 7.4m northeast, and 3.7m 57 degrees west of south. starting from the same initial postion, an expert golfer could make the hole in a single displacement. What is the magnitude of this single displacement ?

2. Homework Equations

SOH CAH TOA

3. The Attempt at a Solution

IM confused if northeast is enough information to solve the problem. I used SOH CAH TOA to find the lengths of the sides of the triangle and put northeast as 45 degrees but im not sure if that correct. I subtracted the vectors and used the pathagreon theroum to find the displacement but my answer can out inncorrect.
Maybe try a more careful method?

Putt-1 = 0 i + 1.6 j
Putt-2 = ... i + ... j
Putt-3 = ... i + ... j

(And yes, northeast is 45°)

#### Joe91090

Re: Vectors

What do the i and j represent ?

#### LowlyPion

Homework Helper
Re: Vectors

What do the i and j represent ?
Those are the x and y components of the vector.

Putt-1 = 0 i + 1.6 j

It went 1.6 north and 0 in the east-west direction.

#### Joe91090

Re: Vectors

So... displacement is 2.1 i + 4.8 j ??

Putt 1: 0 i + 1.6 j
Putt 2: 5.2 i + 5.2 j
putt 3: 3.1 i + 2 j

#### LowlyPion

Homework Helper
Re: Vectors

That's the idea.

Looks right, though the signs on Putt-3 aren't exactly right. The result is apparently.

#### Joe91090

Re: Vectors

I GOT IT RIGHT ! thanks for the help

#### LowlyPion

Homework Helper
Re: Vectors

I GOT IT RIGHT ! thanks for the help
You're welcome of course.

But don't act so surprised.

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving