Question - What distance

  • #1
Hello all,

I am a student of high school and found an interesting question, but I do not know resolve. I'm from Brazil, sorry for the mistakes in English.

I believe that to understand one must understand the question before, so I'll have to post the two here:

2) Where a traveler will come if he keeps always walking to:

a) North
b) South
c) east
d) West

3) Where it will come if you keep walking in a southwesterly direction? How many miles he has walked to the end point? How many rounds he will have made around this point?


Thank you for your attention.
 

Answers and Replies

  • #2
998
15
In all the 4 cases one ends up at the starting point.
 
  • #3
mathman
Science Advisor
8,054
538
In all the 4 cases one ends up at the starting point.

Not quite. If he keeps walking north or south he will end up at a pole. If he keeps walking in the same direction, his direction name is reversed (S to N or N to S).

Going southwest will have a similar problem. At some point he is as far south as possible, so continuing in the same direction is now northwest.
 
  • #4
998
15
Mathman is correct.
 
  • #5
222
11
A question of the question...

Are we walking southwest, following
  1. the map
  2. the compass, or
  3. a great-arc

I'm thinking we would spiral to the South Pole, with a different spiral for each of the above. We would end in ever decreasing spiral around the south pole, except for using the compass.. then we would end up in an ever decreasing spiral around the south magnetic pole.
 
  • #6
998
15
Soutwest geographically not magnetically.
 
  • #7
BobG
Science Advisor
Homework Helper
223
84
Following a great arc is almost the most interesting. If you start out walking Due East from Fairbanks, AK, following a great arc, you'll pass very near to Omaha, NE.

But you need to specify a starting point to get really picture what each means. If you walk due East or West, you wind up back at your starting point regardless of what type of motion you actually mean.
 

Related Threads on Question - What distance

Replies
7
Views
3K
  • Last Post
Replies
10
Views
3K
Replies
1
Views
3K
Replies
4
Views
3K
Replies
4
Views
3K
  • Last Post
Replies
27
Views
3K
  • Last Post
Replies
12
Views
2K
Replies
41
Views
7K
Top