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

[Joe91090]

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.

 

[LowlyPion]

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°)

 

[Joe91090]

What do the i and j represent ?

 

[LowlyPion]

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]

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]

That's the idea.

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

 

[Joe91090]

I GOT IT RIGHT ! thanks for the help

 

[LowlyPion]

I GOT IT RIGHT ! thanks for the help

You're welcome of course.

But don't act so surprised.