While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 32.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old oak tree, in what direction should you head and how far will you walk? Use components to solve this problem, (b) To see whether your calculation in part (a) is reasonable, compare it with a graphical solution drawn roughly to scale.
While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 32.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old oak tree, in what direction should you head and how far will you walk? Use components to solve this problem, (b) To see whether your calculation in part (a) is reasonable, compare it with a graphical solution drawn roughly to scale.
While following a treasure map, you start at an old oak tree. You first walk 825 m directly south, then turn and walk 1.25 km at 30.0° west of north, and finally walk 1.00 km at 32.0° north of east, where you find the treasure: a biography of Isaac Newton! (a) To return to the old oak tree, in what direction should you head and how far will you walk? Use components to solve this problem, (b) To see whether your calculation in part (a) is reasonable, compare it with a graphical solution drawn roughly to scale.
As a test of orienteering skill, your physics class holds a contest in a large, open field. Each contestant is told to travel 20.8m due north from the starting point then 38 m due east and finally 18m in the direction 33° west of south. After the specified displacement, a contestant will find a silver coin hidden under a rock. The winner is the person who takes the shortest time to reach the location of the silver coin. Remembering what you learned in class, you run on a straight line from the starting point to the hidden coin. How far and in what direction do you run?
one day you go hiking at a nearby nature preserve. at first, you follow the straight, clearly marked trails. from your starting point, you travel 2.00 miles down the 1st trail. then you turn to your left by 30.0 degrees to follow a 2nd trail for 1.40 miles. next, you turn to your right by 160 degrees and follow a third trail for 1.90 miles. at this point you are getting very tired and would like to go back.
you would like to take a shortcut directly through the woods. how far to your right should you turn, and how far do you have to walk, to go directly back to the darting point.
what degree turn to the right must "I" take, and how many miles must I walk back?
I know the distance is 2.104 miles, but I cannot figure out the degree angle.
You are on a treasure hunt and your map says "Walk due west for 75.8 paces, then walk 60.0° north of west for 71.5 paces, and finally
walk due north for 21.2 paces." What is the magnitude of the component of your displacement in the direction (a) due north and (b)
due west?
(a) Number i
(b) Number
C
Units
Units
B
W
#
+
A
E
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