A novice tennis player lands the ball on top of the flat roof of a nearby building. The .58 g ball rolls off the rooftop and falls 3.5 seconds before landing 2.2 m from the base of the building. What is the velocity vector at the time of impact? Express your answer in unit vector notation (i,j,k).

Q: A man is dragging a trunk up the loading ramp of a mover's truck. The ramp has a slope angle of…

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Q: A clownfish lives in a certain sea anemone. Its position with respect to that sea anemone is 10 cm…

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Q: 3. Calculate the resultant force. Express the answer in terms of unit vector.

A: The given forces can be represented in component form as,

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: The vector V3 of the figure is equal to: A. V2 - V1 B. V1 /cos θ C. V1 - V2 D. V1  + V2 E. V1 cos θ

A: The three vectors are given as V1 , V2 and V3.

Q: DIRECTIONS: Perform addition of vectors through component method. Write your answers on a YELLOW…

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Q: A = 6i + 2j - 3k B = 3i - j - 2k C = -i + j - 4k D = j - 3k E = -i + 2k F = -5k G = 2i H =…

A: For two vectors to be perpendicular to each other, their dot product must be zero.

Q: An electron's position is given by r=(ti+t2j+2k) with t in seconds and r in meters. A)Determine the…

A: In this question, the position vector is given and we need to calculate its velocity in unit vector,…

Q: After 30 min of undisrupted flying since taking off the plane starts to drift off course due to…

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Q: Ax= 3.80 m, Ay= -1.30 m Ax= 3.70 m, Ay= 1.30 m Ax= -4.20 m, Ay= 1.20 m Ax= -3.60 m , Ay= -1.80 m…

A: The problem is asking us to find the angle that the vector A makes with the +x-axis. This angle is…

Q: The magnitude of two vectors A and B shown in the figure below are respectively A 3m and B = 1.5 m.…

A: The resultant of two vectors is the result of adding them together. The direction of the resultant…

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: The vector -5.2A has a magnitude of 48 m and points in the positive x direction. Find the x…

A: The vector has given as -5.2A which has magnitude= 48 mAnd the vector is pointing in the positive x…

Q: Find the x- and y-components of the three vectors in the figure below. Write them using 3…

A: Required concept: The x-component of a vector V is given by; xV=Vcosθ               (1) The…

Q: What is the sum of the following four vectors: a. In unit vector notation b. as a magnitude and an…

A: The vectors are given as: A→=(3 m)i+(5 m)jB→=[(3 m)cos178°]i+[(3 m)sin178°]j=(−2.998 m)i+(0.1047…

Q: What is the angle between the vector A = +3i - 2i - 3k and the +y-axis?

A: Given:Vector are,A→=3i^-2j^-3 k^  ...(1)B→=Along y-axisB→=y^=j^  .... (2)We know,cosθ=A→.B→|A||B|…

Q: Sylvia rides her bike from her dorm to the gym to keep her body in shape. She travels 3 kilometers…

A: The vector diagram is shown below.

Q: Vector 'A' has a magnitude of 37.0 units and it points in a direction 320° counterclockwise from the…

A: According to given question, Components of vector (A)   (  Ax, Ay) = (A cosθ ,A sinθ) Also given by…

Q: Supply all missing information with the correct numerical values. Do not include the units. Round…

A: Consider the following figure,

Q: The force F has a magnitude of 770 N. Express F as a vector in terms of the unit vectors i and j.…

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Q: Consider the following 2 vectors: A =3.42 î–6.44ĵ B =2.33 î+4.26} What is the magnitude of Á × B.

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Q: 1. A velocity vector has a magnitude of 1.85 m/s and makes an angle of 155° with the +x axis. (a)…

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Q: Consider the two vectors, A = -4.42 i +-2.02 j and B = -1.95 i +-5.54 j. Part (a) What is the…

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Q: Given that the two displacements are: X=(8i+3j-2k)m, Y=(4i-4j+8k)m. I. Find the magnitude 2X-4Y II.…

A: I. The magnitude 2X-4Y is 42.19 m.

Q: A = 2i + j, B = i– 4j + k, and Ĉ = j+k. ... What is the magnitude of the vector - 2Ả – B + Č?

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Q: Ruth sets out to visit her friend Ward, who lives 60 mimi north and 100 mimi east of her. She starts…

A: 1)Write the position vector of Ruth.Write the initial position vector of Ward.

Q: es A vector M and has a magnitude of 7 units, and N has a magnitude of 5 units, and the cross…

A: In this case, there are two vectors whose magnitude is given. The cross product of the two vectors…

Q: Margaret walks to the store using the following path: 0.920 mi west, 0.260 mi north, 0.280 mi east.…

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Q: Part A In what direction should the crew fly to go directly to the field? Use components to solve…

A: Solution: The direction and the displacement of the plane are shown by the vector representation on…

Q: The vector A-B is

A: Correct answer is 4th option    9.53i +0.5j Method involves resolution of vectors in their…

Q: A car travels North with a speed of 30 kph and then turns to west at a speed of 15kph. What is the…

A: Given that:- Initial velocity of car=30kph along North

Q: Two force vectors are added together. The vectors are as follows. Vector A is a force of 52 Newton’s…

A: →A = 52(cos62i^ +sin62j^)→A = 24.4i^ + 45.9j^ N→B = 120(cos58i^ +sin58j^)→B = 63.6i^ + 101.77j^ N

Q: Consider the vectors A = 2.0i - 4.0j + k, B = 3.0i + 4.0j + 10.0k, C = -3.0i - 4.0j, D = -3.0i +…

A: The vectors are

Q: You leave home and drive 32.5 km north, then 16.5 km east when you realize you forgot something. So…

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Q: What is the resultant vector of two vectors where one has a magnitude of 5 cm pointing 60° N of E…

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Q: The vector in the figure has a length of 4.0 units and makes a 30° angle with respect to the y-axis.…

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Q: 7. Given two vectors A= -3.00i + 13.00j + 7.00k and B= 1.00i-10.00j- 6.00k, (a) find the magnitude…

A: The required solution is following

Q: Given vectors are: A- 30 lbs at 37 degrees, B- 50 lbs at 135 degrees, and C - 80 lbs at 240 degrees.…

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Q: Vector A is in the direction 39.0° clockwise from the -y-axis. The x-component of A is A₂ = -12.0 m.

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Q: Express the 8.9-kN force F as a vector in terms of the unit vectors i, j, and k. Determine the…

A: Solution: Given That F = 8.9 kN by taking vectors , we can find Fz = 8.9 sin31° Fz = 4.58 kN F' =…

Q: A hiking girl needs to go 24.8 km straight North to get to base camp, instead the compass confuses…

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Q: Show that, no matter what A and B are, A mathematical proof. Consider the definition of the…

A: We have to determine the conditions when A→·A→×B→ will result 0.

Q: Margaret walks to the store using the following path: 0.850 mi west, 0.500 mi north, 0.210 mi east.…

A: Given data: Margaret walks 0.850 mi West 0.500 mi North 0.210 mi East Required: Magnitude and…

Q: A velocity vector has x-component vx = 6.3 m/s and y-component vy = - 2.5 m/s. What is the total…

A: Given: X-component of velocity (Vx) = 6.3 m/sY-component of velocity (Vy) = -2.5 m/s