A man goes for a walk, starting from the origin of an xyz coordinate system, with the xy plane horizontal and the x axis eastward. Carrying a bad penny, he walks 1300 m east, 2200 m north, and then drops the penny from a cliff 410 m high. (a) In unit-vector notation, what is the displacement of the penny from start to its landing point? (b) When the man returns to the origin, what is the magnitude of his displacement for the return trip?

Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: The acceleration of a particle moving only on a horizontal xy plane is given by d = 6tî + 7tj, where…

A: The given values are, a→=6ti^+7tj^ m/s2r→=15.0i^+35.0j^ mv→=6.40i^+3.30j^ m/st=5.60 s

Q: A girl delivering newspapers covers her route by traveling 7.00 blocks west, 4.00 blocks north, and…

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Q: A watermelon seed has the following coordinates: x = -3.3 m, y = 8.9 m, and z = 0 m. Find its…

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Q: 15m, 45 degrees + 5m, 315 degrees + 10m, 240 degrees

A: A vector can be written as A̅ =Ax î +Ay ĵ

Q: A cave diver enters a long underwater tunnel. When his displacement with respect to the entry point…

A: Given The direction out of the tunnel is positive, so moving into the tunnel is negative…

Q: Using the Pythagorean theorem and the graphical method, calculate the resultant vector of the…

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Q: Suppose you have three vectors: A⃗=−3i^+6j^ B⃗=2i^−4j^ C⃗=4i^+3j^ What is the magnitude of vector…

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Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

A: a) The required initial coordinates are: b) The required x and y component of initial velocities…

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

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Q: To get from one office to another in a company, a man travels as follows: B = 25 m, 53° East of…

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Q: A = 15m due West To get from one office to another in a company, a man travels as follows: B = 25 m,…

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Q: rabbit runs across a parking lot on which a set of coordinate axes has, strangely enough, been…

A: Given- x = -0.31t2+7.2t+28 y = 0.22t2- 9.1t+ 30A) At  t = 15 sr(t)=xi+yj=-0.31t2+7.2t+28i+ 0.22t2-…

Q: Given two vectors A= 4.00i + 7.00j and B= 5.00i - 2.00 j, find the magnitude of each vector?

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Q: A student walks 1 km due east and 3 km due south. Then she runs 5 km due west. The magnitude of the…

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Q: Given the following vector components of vectors C and D: Cx = 7.40, Cy = 4.60,  Dx = 6.20, Dy =…

A: Let

Q: Let vectors A⃗=(2,−4) A → = ( 2 , − 4 ) and B⃗=(−3,1) B → = ( − 3 , 1 ) . Calculate the following:…

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Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: (1) 27.0 cm, due west; (2) 23.0 cm, 35o south of west; (3) 28.0 cm, 55o south of east, and (4) 35.0…

Q: If the vector A = I – 2j and the vector B = 4i – 5j , what angle does A + B form with the x-axis?

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Q: Starting at the origin, a person walks 350 meters in a direction 30.0° South of West, then 570…

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Q: A watermelon seed has the following coordinates: x = -1.4 m, y = 3.6 m, and z = 0 m. Find its…

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Q: Vector A is 2.80 cm long and is 60.0 degrees above the x-axis in the first quadrant. Vector B is…

A: Given data The length of the vector A is lA = 2.80 cm. The angle made by the vector A with the…

Q: A = 15m due West To get from one office to another in a company, a man travels as follows: B = 25 m,…

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Q: what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C=…

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Q: Given the following three vectors: A: 300 m at 50° and B: 40 m at 150° and C: 100 m at 270 °,…

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Q: • Find Ax and Ay for the vector its magnitude and direction given by A = 3.5 m and ©=66°…

A: (a) The values are, Ax = 3.5cos(66) = 1.4m Ay = 3.5sin(66) = 3.18m

Q: Vector A>has a magnitude of 50 units and points in the positivex direction. A second vector,…

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Q: What is the resultant of vector A=2i +2j, and vector B=li -2j Select one: a. V26 b. 2 С. 3.5 d. V5…

A: Vector A=2i→+2j → Vector B=1i→-2j→

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Consider a vector (A) in the XY-plane as shown below:     It makes an angle (θ) with the x-axis and…

Q: From the window of a building, a ball is tossed from a height y, above the ground with an initial…

A: Since you have uploaded a question with multiple sub-parts, we will solve the first three sub-parts…

Q: If vector B is added to vector i, the result is 6i + j. If B is subtracted from A, the result is -4i…

A: The solution can be given as follows :-

Q: On a safari, a team of naturalists sets out toward a research station located 6.1 km away in a…

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Q: What is the result of the combination of the component vectors, 92 km/h East and 79 km/h East? a…

A: 3.  v1 = 92 km/h east v2 = 79 km/h east

Q: Which of the following displacement vectors has an x component of -15.0 km and a y component of…

A: R=-152+152+0

Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

A: Initial velocity (v) = 7.50 msAngle = 18o below horizontal Time taken to hit the ground = 5 seconds…

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Given data: The first displacement vector of grass hopper towards west is A=27.0 cm. The second…

Q: Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36° north…

A: Graphically determine the resultant of the following three vector displacements: (1) 24 m, 36° north…

Q: Consider the three displacement vectors A (3i- 35)m, B= (2i- 4)m, and C (-2i + 7j)m. Determine the…

A: A→= 3 i^ - 3 j^B→= 2 i^ - 4 j^C→= -2 i^ -7 j^M→= A→ + B→ +C →M→= (3 + 2 - 2) i^ +(- 3 - 4 + 7) j^M→…

Q: 1. Vicky walks 8 km East, then 5 km South and finally 6 km West. Find her resultant displacement. 2.…

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Q: The baseball diamond is a square with sides 27.4m (90 ft) long. If the positive x axis points from…

A: Given data The parameter of the square is given as a = 27.4 m. The initial point for the baseball…

Q: A grasshopper makes four jumps. The displacement vectors are (1) 27.0 cm, due west; (2) 23.0 cm, 35o…

A: Given: Displacement vectors are, 27 cm due west 23.0 cm, 35o south of west;  28.0 cm, 55o south of…

Q: From the window of a building, a ball is tossed from a height y0 above the ground with an initial…

A: Given data: The initial velocity  of the ball is, vi = 8.70 m/s The angle of projection is, θ= 210…

Q: Given vectors A (0i + 10j – 8k) N and B 3i – 63 + 8k ) N, find the magnitude of - resultant of these…

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Q: If A is 35.0 meters 47° S of E and B is 19.5 meters north, what is the magnitude and direction of…

A: Given:  A = 35 m due 47 degree S of E B  = 19.5 m due north

Q: if a is 35.0 meters 47 degrees of south of east and b is 19.5 meters north, what is the magnitude…

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Q: What is the sum of the following four vectors in (a) unit-vector notation, and as (b) a magnitude…

A: A→=(2.00m)i^+(3.00m)j^ B→= 4.00 m, at 65.0° = 4 ×[ cos65oi^ + sin65oj^]= 1.69i^ + 3.62j^ m…

Scalars and Vectors

Scalars and Vectors are the classification of physical quantities that are used to denote various terms in physics.