A hiker goes 6 km, 67 degrees east of north then changes direction and goes 5 km, 34 degrees west of north. How far is he from the starting point?
Q: Problem 2: A pilot flies 30 km in a direction 60° north of east, then flies 20 km in a direction 15°…
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Q: A girl delivering newspapers covers her route by traveling 4.00 blocks west, 6.00 blocks north, and…
A: First displacement of girl Second displacement of girl Third displacement of girl
Q: If you walk 24 m in a direction exactly 35° west of north and then you walk 11.5 m in a direction…
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Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…
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Q: You are on a treasure hunt and your map says "Walk due west for 86.1 paces, then walk 50.0 ° north…
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Q: A spelunker is surveying a cave. She follows a passage that takes her a distance 190 m straight…
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Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 235°, turn to…
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Q: A novice golfer in the green takes three strokes to dunk the ball. The successful displacement of…
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Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…
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Q: A high-tech drone flies over Miami, FL in a direction 57.3° west of north with a speed of 34.6 km/h.…
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Q: A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the…
A: Displacement vector = 4(cos45°i + Sin45°j) + 3(-cos60°i + Sin60°j) + 5(-Cos20°i + Sin20°j) = (-…
Q: You are lost in the woods. When you left camp you walked…
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Q: A person walks 35° south of west for 4.56 km. How far due west and how far due south does the person…
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Q: A novice golfer on the green takes three strokes to sink the ball. The successive displacements are…
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Q: Ida Haitarun is captain of the Varsity cross country team. During the after-school practice on…
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Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…
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Q: Vector A points to the right and vector B points to the left with a magnitude equal to 2A. What…
A: Magnitude of vector A is A (to the left) Magnitude of vector B is 2A (to the right)
Q: A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal. What is the…
A: Given, A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal .
Q: Isabel walks 32 meters due south,then 48 meters due west and finally 52 meters due north. How far is…
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Q: Suppose you walk 11.5 m in a direction exactly 17° south of west then you walk 24 m in a direction…
A: To find out how far you are from your starting point, you can use vector addition to determine the…
Q: A runner leaves home and runs 1500 m due south. From there they turn onto a new road, and continue…
A: Given value--- runs 1500 m due south . 2500 m at 60° north of east. We have to find --- What is…
Q: A woman sailing a boat is following directions to a dock. First she sails 27.5m 66 degrees NE. Then…
A: The woman sails in the north of east direction for a distance of r1 = 27.5 m at 66° And then in the…
Q: Renee has walked in a straight line, 25 degrees west of north, for 1200 meters. How far south and…
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Q: A sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 97.0 km due…
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Q: To get out of the harbor, a container ship sails at a bearing of 240° for 6 km before changing…
A: In this problem we will treat the two displacements as vectors. resolve them into their respective…
Q: Suppose you walk 25.5m in a direction exactly 36° west of north and then walk 15 m in a direction…
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Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far (in meters) are you…
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Q: A hiker begins from base camp by walking 2.5 km at an angle 41.8 degrees north of east. At this…
A: given, A=2.5 km @41.80 north of eastB=3.5 km @ 45.60 west of north

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- An airplane starting at city A flies 350 km at 30 degrees east of north, 125km at 30 degrees east of south, and finally 500 km at 30 degrees south of west to city B. A second airplane flies diectly from city A to B. How far and in what direction must the second plane fly?Vectors A treasure map shows a path from the hanging tree to walk to find the buried treasure. It reads to start at the hanging tree and north 7.5 meters. The map then says to turn and walk 9.8 meters at 30 degrees north of east, then walk south 1.4 meters, and finally walk west 38.0 meters. Once at this position, the map says to turn east and walk 14.0 more meters, then turn north and walk 12.0 more meters, and finally to turn due west and walk 6.0 meters. There you will find the treasure!(a) Being a physicist, you want to get rid of all the steps and walk right to the treasure. What is the magnitude of the displacement you would walk if you walked directly to the treasure alongthe line of the resultant?A boat travels on a course of 40.0° north of east for a distance of 300 km. How far north and how far east of its starting point does the boat sail?
- You walk 37 m to the north, then turn 61° to your right and walk another 45 m. How far are you from where you originally started?A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north, as shown in Figure. Find the magnitude and direction of the car’s resultant displacement.A spelunker is surveying a cave. She follows a passage 160 m straight west, then 230 m in a direction 45degree east of south, and then 280 m at 30 degree east of north. After a fourth unmeasured displacement, she finds herself back where she started.
- You go on a long hike by first walking 25 km southeast (i.e., 45° south of east) from your car. You then stop and camp for the night. On the second day, you walk 40 km in a direction 60° north of east. In what direction, as measured from the position of your car, is your final position? (Give your answer to the nearest degree.)A rural mail carrier leaves the post office and drives 25.0km in a northerly direction to the next town. She then drives in a direction 60 degrees south of east for 57 km to another town. What is her displacement from the post office?You walk 48.9 m to the north. You then turn 43.2 degrees to your right, so that you are facing 90-43.2 degrees north of east, and walk another 17.2 m. How far are you from where you originally started?
- It takes a golfer three strokes to get a golf ball into a hole. On the first hit, the ball moves 6.0 m to the east. On the second hit, it moves 2.9 m at an angle of 20 ° north of east. On the third hit, it moves 0.50 m to the north. If the golfer had struck the ball directly into the hole in one stroke, what would have been the magnitude (in m) and the direction of the ball's displacement? Indicate direction as a positive angle measured counterclockwise from east.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.one afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) the magnitude of the couple's displacement? (c) what is the direction(relative to due east) of the couple's displacement?