Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.53, then this problem asks you to find their sum R=A+B.)

Q: A student from Pavón High School is in room A1 (red dot) when you decide to go out to the Oxxo to…

A: Solution: The position vector can be written as.…

Q: A hiker begins a trip by first walking 25.0 km southeast from her car. She stopd and set up her tent…

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Q: Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a…

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Q: For the given vectors V₁ and V₂, determine V₁ + V2, V₁ + V2, V1-V2, V₁ V2 V₁ V2. Consider the…

A: The magnitude of the vectors are 12 and 18. The value of a is 4 and the value of b is 6. The value…

Q: Let A= (3.0 m, 200 south of east), B = (2.0 m, north), and C= (5.0 m, 700 south of west). Draw and…

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Q: A boy walks 4 m South and then walks 7 m at 35 degrees east of south. What is the boy's…

A: d1 →= -4j^ m d2   → = 7m (Sin(35o) i^ - Cos(35o)j^)d2   → = 4 i^ - 5.73j^ mBoy's displacement = d1 →…

Q: Suppose you first walk 12.0 m in a direction 20 west of north and then 20.0 m in a direction 40.0º…

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Q: Steve is driving in his car to take care of some lands. The first land has him driving to a location…

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Q: 8. Suppose that the vector in problem 2. above represents a 30 mph wind. Sera is piloting an…

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Q: SVS is running an outdoor skills competition. The race is made up of three different events that…

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Q: A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m.…

A: Given: The length of the minute hand is 0.46 m. The length of the hour hand is 0.26 m.

Q: Three girls skating on a circular ice ground of radius 200 m start from a point P on the  edge of…

A: Displacement is given by the minimum distance between the initial and final positions of  a…

Q: Problem 4: Consider the three vectors A = 2.3i + 2.1j+9.3k, B = -11.6i + 1.1j+ 4.1k, and C = 1li -…

A: solution as

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: A radar station locates a sinking ship at range 16.6 km and bearing 136° clockwise from north. From…

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Q: A U.S. Navy destoyer on patrol travels the following displacements starting from coordinate origin.…

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Q: y (m) 6.0 4.0 2.0 A →x(m) 2.0 4.0 6.0 8.0 10 Find the z and y components of its position vector at…

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Q: Which equation would give the x-component of Vector A with a magnitude of 76.50 m, 75° South of…

A: x component of a vector = A cosθ

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

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Q: From the Vectors Given below: 6- 2- A+B B 1- -4 -3 -2 -1 3 4 5 6 -1 A -2 (a) Find the direction and…

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Q: What is the x-component of the child's initial position?

A: Component of vector Ax = Acosθ

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs…

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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: Two highways intersect as shown in the figure. At the instant shown, a police car P is distance dp =…

A: Solution: Given Values,

Q: For the given vectors V₁ and V₂, determine V₁ + V₂, V₁ + V2, V₁ - V2, V₁X V₂, V₂ x V₁, and V₁ V₂.…

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Q: Suppose you walk 18.0 m straight west and then 25.0 mstraight north. How far are you from your…

A: The displacement is,

Q: Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs…

A: Displacement vectors as A→=18 m towards west. B→=25 m towards north. The resultant vector is…

Q: A Texas rancher wants to fence off his four-sided plot of flat land. He measures the first three…

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Q: the negative x-axis. What is the rectangular form of vector A ?"

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Q: A new soccer ball inexplicably appeared in my yard this weekend, and Abigail insisted on going to a…

A: (a) The acceleration of the ball is, a=gsinθ=9.8 m/s2sin53.1°=7.8 m/s2 The initial velocity along…

Q: How far did the boat travel from the point where the distress call was made to the point where the…

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Q: A wall clock has a minute hand with a length of 0.46 m and an hour hand with a length of 0.26 m.…

A: Given: The length of the minute hand is, m=0.46 m. The length of the hour hand is, h=0.26 m.…

Q: Suppose you first walk A - 13.0 m in a direction e, - 15° west of north and then 8- 21.5 m in a…

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Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.19. The plane…

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Q: Using the standard cartesian coordinate system, which of the following vectors have a NEGATIVE…

A: A vector can be resolved into two, one along the x-direction and the other along the y-direction.…

Q: Ima Genius is walking from physics to math class. She exits the physics lab and walks 72 meters NW.…

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Q: A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the…

A: The path is depicted below.