You are watching an archery tournament when you start wondering how fast an arrow is shot from the bow. Remembering your physics, you ask one of the archers to shoot an arrow parallel to the ground. Unfortunately the archer stands on an elevated platform of unknown height. However, you find the arrow stuck in the ground 56.0 m away, making a 2.00 ∘ angle with the ground. How fast was the arrow shot?

Q: Which of the following is the equation of the plane passing through the point (0,2,-3) and with…

A: Plane passing through the point (0,2,-3) and with normal vector 4i - j -2k means perpendicular to…

Q: Given two vectors A = 3i -4j +k and B = 5i +2 j -6 k. Find the z-component of the new vector Ax B.…

A: Step1  ∙Two vectors are given  ∙A→=3i∧-4j∧+K∧  and another vector B→=5i∧+2j∧-6K∧  ∙we need to find…

Q: Consider two vectors ā = 4i – 5j + 2k and b = -2i + 2j + 7k. Find (a) ä + b (b)ā – b, and () a thicd…

A: Given vectors are  a→ = 4i^-5j^+2k^b^ = -2i^+2j^+7k^

Q: Prove that the magnitude of the vector

A: To prove: magnitude of a vector M→(x,y)=M

Q: wo vectors A = 4ax + 3ay  and B = ax + 2ay + 2az , find

A:

Q: find its magnitude and direction (r,θ)

A: The given vector can be represented as, Here, rx and ry represent the vector’s x-component, and the…

Q: Consider the vector v→=0.5t8ı^−13t2ȷ^. Using this vector, evaluate the derivative of the magnitude…

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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 projectile is fired vertically from point A with an initial speed of 205 ft/sec. Relative to an…

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Q: A particle is moving on top of a 2-dimensional. plane with its coordinates given in cartesian…

A: The circular motion best analogy to oscillations. A restoring force tends to bring the object back…

Q: Two vectors A and B have precisely equal magni- tudes. For the magnitude of Á + B to be larger than…

A: given,

Q: According to the text, there are two equations from which the five equations may be derived by…

A: Here,  X=displacement V=velocity T=time A=acceleration

Q: a firefighter, a distance d from a burning building directs a stream fo water from a fire hose at…

A:

Q: Given vectors A = a, + 3a, and B = 5a, + 2a,- 6a, determine (a) A + B| (ъ) 5A - В c) The component…

A: Given,A=ax+3azB=5ax+2ay-6az

Q: A - B B = (110 cm, 2 270°) Find for the following vectors: A = (122 cm, Z 145°)

A: Given : A→ = 122 cm , 145o B→ = 110 cm , 270o

Q: he summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m horizontally…

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Q: Given the following vectors: S = 3i -j+ 5k %3D P = 2i + 4j - 6k +9K Q = -7i + 2j + 9k %3D Obtain the…

A: S→ = 3i^ - j^ + 5k^P→ = 2i^ + 4j^ - 6k^Q→ = -7i^ + 2j^ + 9k^

Q: The vector A-B is

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

Q: Given two vectors A = (3i – 2j + 5k) and B = (6i – 7j + 4k) find: (a) A²; (b) B²; %3D (c) (A - B)?.

A: Given that vector A→ = 3i^-2j^+5k^ Vector B→ = 6i^-7j^+4k^

Q: Three vectors are represented by A, 4.2∠45◦, B, 5.5∠−32◦ , and C, 2.8∠75◦. Determine in polar form…

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Q: A turtle ambles leisurely, as turtles tend to do, when it moves from a location with position vector…

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Q: If ø=61.1° and C=8.78, what is the y-component of vector C?

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Q: Suppose the vectors i, j, pand q are all unit vectors and the angle 0 = 340°. Find the cartesian…

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Q: What is the resultant of vector A=2i +3j, and vector B=3i -2j Select one: a. 3.5 b. 2 C. 5/2 o d.…

A: Given : Vector A = 2i + 3j Vector B = 3i - 2j

Q: Here are three vectors in meters: d→1=-6.50î+8.40ĵ+9.60k̂ d→2=-2.00î-4.00ĵ+2.00k̂…

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Q: A particle undergoes three consecutive displacements given by vectors A = (6.5î – 2.3ĵ – 2.0k) mm, B…

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Q: Given A = 5.00i + 4.00j, B = 3.00j - 7.00k. Find the vector C = 2A - B %3D O + 4i – 10j – 7k O- 10j…

A: Given: A=5.00i+4.00j  B=3.00j-7.00k  To Find: C=2A-B

Q: What is the angle between the two vectors A = 2i + 3j and B = i-2j is * 0° 120 60 O 90

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Q: 1. Consider two displacement vectors Ā = (-2î + 4f) m and B = (î – 3f) m, find the magnitude and…

A: 1. Given: A→=-2i^+4j^ mB→=i^-3j^ m

Q: Given the vectors A, B and C. Find the following: A = 3i + 5j − 2k; B = −4i + 2j + 3k ; C = 5i – 8j…

A: We have three vectors that are represented by A→=3i^+5j^-2k^,  B→=-4i^+2j^+3k^  and  C→=5i^-8j-9k^.…

Q: For the following three vectors, what is 50 (2 x B)? A = 2.00î + 3.00ĵ – 6.00k B = -3.00î + 2.00ĵ +…

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Q: A particle P is projected from a point O on a horizontal plane with speed 63.7 m/s at an angle 0 to…

A: Speed of the projectile,  Acceleration due to gravity,  Launch angle,    The time of flight for the…

Q: For the following three vectors, what is 3C · (2 A✕B )?  A= 2.00i + 3.00j − 7.00k  B= −3.00i +…

A: Given, A→=2i^+3j^-7k^B→=-3i^+7j^+2k^C→=3i^-8j^ So we have, 3C→=33i^-8j^=9i^-24j^ and…

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

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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: Given two vectors A =-2.00i+3.00 j+ 4.00k and B= 1.00i+ 2.00j- 3.00k, do the following. %3D You may…

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Q: Given E= 1 ar the vector at point (x=1.y=7.z-8) in rectangular form is E = 0,00082156650138745a, 2…

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Q: A=4i+6j+2k B=-2i-4j+0k find A+B and it's direction

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Q: A landscape architect is planning an artificial waterfall in a city park.Water flowing at 0.750 m/s…

A: Recall if Vx=constant then x=Vxt As Vy=0 So  h=1/2gt2 t=2h/g

Q: Given vectors: A = 8.3i + 33 and B = 6.5i + 7.4) Find AXB

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Q: Consider the two vectors A= 12i+ 5j and B=-3i. What is the cross product Ax B? O 51 k O none of the…

A: Given data:  A→ = 12i^ + 5j^B→ = -3i^ Required: The cross product of vector A and B

Q: If Force (-2,3) and Displacement (-5,-3), find the angle in degrees between the two vectors. O 18.61…

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Q: Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k ; C = 5i − 8j…

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Q: For the pair of vectors, find U + V, U − V, and 4U + 2V. U = −9i + 9j, V = 9i + 9j

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Q: given two vectors A= -3.00i + 7.00 j and B= 8.00i + 2.00 j. Let counterclockwise angles be positive.…

A: For any vector in a cartesian plane given as A→=Axi^+Ayj^, such that both the components of vector…

Q: A projectile is fired vertically from point A with an initial speed of 290 ft/sec. Relative to an…

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Q: Given the vectors A, B and C. Find the following: A = 3i + 5j - 2k; B = −4i + 2j + 3k; C = 5i – 8j –…

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Projectile Motion