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

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Homework Help Overview

The problem involves a novice golfer's three successive displacements on a golf green and asks for the magnitude of a single displacement that an expert golfer could achieve from the same starting position. The displacements include directions such as north, northeast, and a specific angle west of south.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the interpretation of directional terms like "northeast" and how to apply trigonometric principles (SOH CAH TOA) to find vector components. There is uncertainty about whether the provided angles and directions are sufficient for solving the problem.

Discussion Status

Some participants have suggested breaking down the displacements into their vector components and using the Pythagorean theorem to find the resultant displacement. There is acknowledgment of potential errors in the signs of the components, and multiple interpretations of the problem setup are being explored.

Contextual Notes

Participants are working under the constraints of homework rules, which may limit the information they can share or the methods they can use. There is a focus on ensuring clarity in the definitions of vector components.

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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 ?

Homework Equations



SOH CAH TOA

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 I am not sure if that correct. I subtracted the vectors and used the pathagreon theroum to find the displacement but my answer can out inncorrect.
 
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Joe91090 said:

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 ?

Homework Equations



SOH CAH TOA

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 I am 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

Then add your components and use Pythagoras?

(And yes, northeast is 45°)
 


What do the i and j represent ?
 


Joe91090 said:
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.
 


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
 


That's the idea.

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


I GOT IT RIGHT ! thanks for the help
 


Joe91090 said:
I GOT IT RIGHT ! thanks for the help

You're welcome of course.

But don't act so surprised.
 

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