An ion's position vector is initially r==(5i-6j+2k)m, and 10 s later it is r=(-2i+8j-2k)m.In unit-vector notation ,what is its Vavg during the 10s?

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: Figure P3.28 illustrates typical proportions of male (m) and femalc (f) anatomics. Thc displaccmcnts…

A: Consider the vector arrangement with the component resolution of the vectors as follows:

Q: Given the two displacements D= (6.00î + 3.00ĵ – 1.00R)m E = (4.00î – 5.00ĵ + 8.00k) Find the…

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Q: The eguation r(t)= (3t+ 9) i + (8t - 2) j+(4t) k is the position of a particle in space at time t.…

A: Introduction: Kinematics helps to find out the velocity, acceleration of the particle at any time t…

Q: Draw each of the following vectors, then find its x- and y-components.a. d→ = (2.0 km, 30° left of…

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Q: An ion's position vector is initially = (-8.3 m )i + (-4.2 m )} + (-6.2 m )k, and 6.5 s later it is…

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Q: Express the vectors illustrated in Figs. 1-11(c), 1-13, 1-14, and 1-15 in the form R= Ri + Rj+ R.k…

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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 golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time…

A: We are authorized to answer only one question at a time, since you have not mentioned which one…

Q: what is the magnitude and direction of the vector formed from the following x and y components? Vx=…

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Q: If we have two vectors A = 2i + 3j, B = -i + 2j and constant c=3, which one of the following is…

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Q: The Moon orbits the Earth in an approximately circular path. The position of the Moon as a function…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Starting from a location with position vector r1x = -16.9 m and r1.y = 26.5 m, a rabbit hops around…

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Q: what is the magnitude of the vector (10i-10k) m/s?

A: To find the magnitude of the vector  (10i-10k) m/s

Q: If the initial velocity vector of a particle is vo= 8i - 2j m's, and after time t-5 s its v = 21 +…

A: Here given the initial velocity vector ia V0 = 8i - 2j m/s and after t = 5 sec its velocity is v =…

Q: Given: X- coordinate: x= -5.00sinwt, where w is constant, x is meters, and t is seconds y -…

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Q: A body moves in space , the location vector r 2 = 2t i +tj +2 k m, How much the velocity of it at 2…

A: Given: The location vector (r→) is 2t2i^+tj^+2k^ m. Introduction: The velocity (v) of an object is…

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

A: Let

Q: Represent the given vectors using the indicated scale. 1. A= 55 N, North 2. B= 20 km/h, South 3. C=…

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Q: A particle is moving with the giving data. Find he position of the? particle. at time t. gtpi a(t) -…

A: Given,  a(t) = 3cost-2sint we know that v(t) = a(t)dt and s(t) = vtdt

Q: Initially, a bicycle is at the position F= (130 m)i + (210 m); After 120 s, the position of the…

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Q: A particle undergoes three consecutive displacements: d = (15i + 30j + 12k) cm, d (23i- 14j-5.0k) cm…

A: In the given question given that three consecutive displacement vector.Then We have to determine the…

Q: If the magnitude of a velocity vector is 7.0 m/s and the x-component is 3.0 m/s, what is the…

A: Given information:Magnitude of velocity vector (|V|) = 7 m/sMagnitude of x-component (|Vx|) = 3…

Q: Consider the following position vector. If the distance units are in meters and the time units are…

A: This question is based on principle of homogenity.

Q: An ion's position vector is initially r= 5i – 6j + 2k, and 10 slater it is r= -2i + 8j – 2k, all in…

A: Average velocity = net displacement / total time taken Now, net displacement = final position -…

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

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

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Q: The equation 7(t) = (4 + t) i + (r² – 5) j + (7t) k gives the position of a particle in space at…

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Q: Add these three vectors and give just the magnitude (or length of the resultant, that is do steps…

A: For the given three vectors :R⇀=A→+B→+C→

Q: A particle undergoes three consecutive displacements: di (15i + 30j + 12k) cm, d2 = (23i – 14j-5.0k)…

A: We will divide the answer into two parts in which first we calculate Resultant displacement then we…

Q: In a computer game, an  airplane starts at (1, 6) (in cm) on the curve  y=5+(1.6t+1)^−1.3and moves…

A: Given that: Initial co ordinate (1,6) in  cm y=5+(1.6t+1)-1.3 cm vx=1.6 cm/s

Q: A particle has a position vector given by r(t)= 30t i + (40t - 5t^2)j, where r(t) is in meters and t…

A: Evaluate the instantaneous velocity (v) at the function of time.

Q: The position of an object in circular motion is modeled by the given parametric equations, where t…

A: Given value--- x=7sin((pi/8)t), y=-7cos((pi/8)t) We have to find--- How long (in sec) does it…

Q: For plane curvilinear motion with the displacement, r, expressed in polar coordinates as r =re,…

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Q: If a = 2i + 9j - k %3D and b 3i- 6j + 12k, what is the magnitude of vector a?

A: a = 2i+9j-k b = 3i-6j+12k we have to find magnitude of vector a

Q: The vectors A= 3ax -2ay + 5az, B=4ax-6 ay + 2az, C=4ax-6ay-9az the result of C. (A- ,B) is

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Q: 1. Vector A = 1.00 i +-2.00 jand vector B-3.00 +4.00. What are the magnitude and i direction of…

A: Given:A→ =1 i^ - 2 j^B→ =1 i^ - 2 j^Solution:C→ = A→ + B→Applying values we get:C→ =1 i^ - 2 j^ + 1…

Q: wct of noth 9. A car starts from the origin and is driven 1.2 km south and then 3.1 km in a…

A: Given: The first displacement is 1.2 km. The direction is toward the south. The second displacement…

Q: What is the resultant of vector A=2i +2j, and vector B=li -2j Select one: a. 3 b. V5 C. 3.5 d. 2 e.…

A: Given data: Vector A=2i→+2j → Vector B=1i→-2j→

Q: Vector M has an x-component of 8.5 km and a y-component of 16.0 km. What is the length of Vector M?

A: Any two-dimensional vector A→ can be written as:A→=ax^+by^ Therefore, the length of the vector A→ is…

Q: A rabbit runs across a parking lot on which a set of the coordinate axis has been drawn. The…

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Q: At what times in the interval 0 ≤ t ≤ π are the velocity and acceleration vectors of the motion r(t)…

A: Given:-             rt = i+ 5 cos t j +3 sin t  k

Q: a vector value of A= 5.5 and e3 122, write this vector in nuit vector (unit vector äoin axiall uiSI)…

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Q: A ball is released from rest at the top of an incline whose height 13.6 centimeters and base 57.2…

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Scalars and Vectors

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