Question

A hiker walked a hiking trail according to the chart below. What is a possible explanation of the hiker's movement?

The hiker ended up in the same place that he started.


The hiker got tired and walked the slowest from 1:00-2:00.


The hiker stopped for lunch from 11:00-12:00 and that slowed him down.


The hiker had an easy, level trail from 11:00-12:00 and was able to travel the fastest during that time period.

Answer 1

a.The hiker had an easy, level trail from 11:00-12:00 and was able to travel the fastest during that time period.---> may be because this was indeed fastest stage


b.The hiker got tired and walked the slowest from 1:00-2:00.---> no, because this was not the slowest stage


c.The hiker stopped for lunch from 11:00-12:00 and that slowed him down.---> no because this was the fastest stage


d.The hiker ended up in the same place that he started.---> no, because the hiker walked more toward east than toward west and more toward south than toward north.

Answer: option a)

Answer 2

The hiker had an easy, level trail from 11:00-12:00 and was able to travel the fastest during that time period.

Step-by-step explanation:

Understanding

• The trip has four stages, one in each cardinal directions
• Each stage lasts only 1 hour, but the distance traveled is different

Displacement in East = Distance traveled in east - Distance traveled in west

Displacement in East = 2 - 1 = 1 mile

Displacement in south = Distance traveled in south - Distance traveled in north

Displacement in south = 4 - 3 = 1 mile

Total Displacement =
`\sqrt{1^(2) +1^(2)`

Total displacement =
`√(2)= 1.41 miles`

Analysis

• The hiker ended up in the same place that he started.

No, of course not. The biker at the end of the journey have a net displacement of 1.41 miles in the south-east direction

• The hiker got tired and walked the slowest from 1:00-2:00.

No, the hiker walked slowest from 12:00-1:00

• The hiker stopped for lunch from 11:00-12:00 and that slowed him down.

No, the hiker walked fastest from 11:00-12:00

• The hiker had an easy, level trail from 11:00-12:00 and was able to travel the fastest during that time period.

Yes, the hiker walked fasteset from 11:00-12:00,