You are driving up a long, inclined road. After 1.2 miles younotice that signs along the roadside indicate that your elevationhas increased by 530 ft. (a) What is the angle of the road above thehorizontal? (b) How far do you have to drive to gain an additional150 ft of elevation?

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: Find the direction of vector A relative to the + x-axis if Ax = 3.0 m and Ay = -5.0 m.

A: The direction of vector A relative to the + x-Axis is 59.036°

Q: A force Vector has a magnitude of 100N directed at an angle of 30deg above x - axis, calculate the…

A: Given : F = 100 N θ = 30°

Q: Vector A has y-component A, = +14.0 m. A makes an angle of 32.0° counterclockwise from the +y-axis.

A: Given data:  Y-component of the vector A Ay = +14.0 m Angle (θ) = 32.0°, counter-clockwise from…

Q: Three forces act at point o. F, = (40T +30J)kN 15 30 Determine the resultant force obtained by…

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Q: What Componen Of a vector with magnitude 1s and divection GO? The choices below are in the format…

A: Correct option is (4) i e  ( 7.5 ,13)

Q: raight east, then 10km straight north. How far and in what direction is t rom the starting point? y…

A: Now the pilot distance from origin & component resolution is drawn below:-

Q: Find the vector sum of the following three vectors A=1.00mat0º, B=2.00m at 150ºand C=1.50mat20º.All…

A: The given data are: A=1 mθ1=0°B=2 mθ2=150°C=1.5 mθ3=20°

Q: Classify each quantity as a vector, a scalar, or it cannot be determined. In the figure, Arrow A has…

A: they give you a table of quantity in which you have to classify that the quantity is scalar or…

Q: 40 km F,-0 km 45 F.-100 km

A: Given Data : The magnitude of the vector V1 = 90 Km. The magnitude of the vector V2 = 40 Km. The…

Q: Vectors CandD have magnitudes of 3 m and 4 m, respectively. What is the angle between the directions…

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Q: If three vectors sum up to zero, what geometric condition do they satisfy?

A: Vector sum is zero

Q: ntimeters and base 59.3 centimeters. Taking xo 0 at the top of the incline, the horizontal location…

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Q: A vector F has two components Fx = 3.4 and Fy = -4.5.  Find the magnitude and direction of the…

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Q: What is the Resultabt magnitude if the following vectors are added using the component method? A= 75…

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Q: Vector A is in the direction 34.0° clockwise from the -y-axis. The x-component of A is A, = -12.0 m.

A: Analyze the diagram of the given situation The x-component of vector A is given as, The…

Q: The y-component of a vector having length 150 m at an angle of 30° with x-axis will be equal to..

A: vector, R  = 150 m  Angle, A = 30 degree from + X axis

Q: Yousuf travelled 33 km, South and then 23 km, North. His resultant displacement is

A: Initially the distance travelled in South direction is,                                    X= 33 km…

Q: The components of a vector are Ax = 2.9 and Ay = 5.3, and the components of a vector are given are…

A: Given data: Vector A=Ax+Ay ⇒ A=2.9 x + 5.3 y         (1) Vector B=Bx+By ⇒ B=7.7 x -10 y…

Q: A vector has an x-component of – 25.0 units and a y-compo- nent of 40.0 units. Find the magnitude…

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Q: Vector A has a magnitude of 3.0 units and makes an angle of-90.0° with the positive x-axis. Vector.…

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Q: "If vector -A is subtracted from A, then the resultant will be

A: A physical quantity can be devided into two: vectors and scalar.  Vector has direction and magnitude…

Q: If one of the two components of a vector is not zero, can the magnitude of the other vector…

A: The magnitude of a vector R in terms of its components Rx and Ry is  Then, magnitude of the both…

Q: A vector has an x-component of +5 m and makes an angle of 30° with the + x axis.  What is its…

A: A vector has an x-component of +5 m and makes an angle of 30° with the + x axis. Then it must have…

Q: The horizontal and vertical components of a vector are 23.6 N and 34.8 N, respectively. What i: the…

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Q: What is the resultant of vector A=5m East and B=10m 30° South of East?

A: Analyze the diagram of the system.

Q: If two vectors have magnitude of 5 and 12 respectively, and are right angles to each other then what…

A: Let, the two vectors be named as 'A' and 'B'  given : magnitude of vector A = 5  magnitude of vector…

Q: If vector Á has components Ax = -3.0 lb and Ay = -4.0 lb, and vector B has components By = 3.0 lb…

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Q: Find the magnitude of the vector whose x- and y-components are given to be 4.7566 and -4.7704,…

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Q: What is the resultant of vector A=5m W, B=10m 30° South of West and C=15m South

A: Given : The value of vector A is 5m towards west. The value of vector B is 10m 30degrees south of…

Q: A dog in an open field runs 12.0m east and then 28.0m in a direction 50° west of north. In what…

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Q: * avector value of A.5.5 and De122, write this Vector in unit veebor ( unit Vector i opz cis)

A: Given: A vector value of A = 5.5 θ=122o To determine: Unit Vector. Formula used: Ax = Acosθ Ay=Asinθ

Q: a vector value of A S.S and 0 122, write this vector in nuit vector (unit vector áouau aninil isi)…

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Q: What is the resultant of vector A=5m South and vector B=15m 60° South of West?

A: Given that, Vector A = 5 m (South) Vector B = 15 m 60° South of West We need to find the resultant…

Q: A vector component is always larger than the magnitude of the vector. True False

A: Given that:- Basic concepts of vector.

Q: If the force vector Ai + Bj +Ck has magnitude equal to 50 N,, Then the y-axis component of this…

A: so i am going to take a guess here because you probably haven't provided me with complete…

Q: Vector A has a magnitude of 10 units and a direction angle of 14° measured counterclockwise positive…

A: magnitude of vector  A = 10 units angle = 140 from+x axis magnitude of  B = ?

Q: What is the resultant displacement when a ship sails 200km due north and then 150km due east?

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Q: Vector ?⃗ has a magnitude of 17.1 and its direction is 140∘ counter‑clockwise from the +?-axis.…

A: A scalar is quantity which will have a magnitude but can act in any direction. There is no specific…

Q: vector has the components A, =-37 m and A, = 45 m.

A: Given` data:  Vector components:     Ax=-37mAy=45m…

Q: Vector A has a magnitude of 3.0 units and makes an angle of-90.0° with the positive x-axis. Vector.…

A: Given that:- Magnitude of vector A=3 unit  Magnitude of vector B=4 unit

Q: If the x-component of a vector is 3m and the y-component of the same vector is 4m, then what is the…

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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: 500M の 15エ 700M

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Q: What will be the result when we divide the x-axis component and the y-axis component of the vector…

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Q: The method of vector addition is called algebraic addition. True or false?

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Q: Find the r- and y-components of the vector (7.0 cm/s, -r-direction).

A: Given data: The given vector is, v→ = 7 cm/s, -x-direction Formula used: The x and y-component of…

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.