Question
A hiker walks 10.0 km [n], 6.8km [w], 2.4km [s] and finally 1.2km [w] in 2.5hrs.
a) What is the hiker's displacement
b) In what direction must the hiker set out, in order to return by the most direct route to the starting point?
c)if the hiker walks at a constant speed for the entire trip and returns by the most direct route, how long will the total walk take
a) What is the hiker's displacement
b) In what direction must the hiker set out, in order to return by the most direct route to the starting point?
c)if the hiker walks at a constant speed for the entire trip and returns by the most direct route, how long will the total walk take
Answers
north 10 - 2.4 = 7.6
west 6.8 + 1.2 = 8
length of distance vector= displacement = sqrt(64+57.8) = 11.0
direction from start:
tan (North/West) = 7.6 /8 = 0.95
so angle north of west = 43.5 deg which is 270 + 43.5 = 313.5 degrees clockwise from north on compass
so to head back home go 11 miles at 313.5-180 = 133.5 compass direction
total walk = 7.6 + 8 + 11
west 6.8 + 1.2 = 8
length of distance vector= displacement = sqrt(64+57.8) = 11.0
direction from start:
tan (North/West) = 7.6 /8 = 0.95
so angle north of west = 43.5 deg which is 270 + 43.5 = 313.5 degrees clockwise from north on compass
so to head back home go 11 miles at 313.5-180 = 133.5 compass direction
total walk = 7.6 + 8 + 11
Related Questions
A hiker walks 10.0 km[NE], 5.0 km[W], and then 2.0 km[S] in 2.5 h.
(a) What is the hik...
a hiker walk due east at 4km per hour and a second hiker starting from the same point walks 55 degre...
Two hikers are 22
miles apart and walking toward each other. They meet in 5
hours. Find...
Two hikers are wandering through heavy woods with walkie talkies. The walkie talkies have a range of...