A boat sails 12 miles in northwest direction, after which it changes the direction and sails 66 miles in a direction 35 degrees east of north. Calculate the resultant displacement of the boat (magnitude and direction).

Q: 7. An airplane heading 275 km/h west while the wind is blowing it 70 km/h north.

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Q: Use the component method of vector addition to add the resultant of the following vectors. A: 11 km…

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

A: Draw the vector diagram as:

Q: Vector  A has a magnitude of 72 units and  point due west while  Vector  B has the same  magnitude…

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Q: magnitude of the resultant is:

A: Let, there are two vector A and B. The magnitude of these two vectors given as, In vector algebra,…

Q: Two vectors of magnitudes 25 and 15 are added together. The minimum magnitude of the resultant…

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Q: A displacement vector is 23 km in length and directed 65° south of east. What are the components of…

A: Vector.

Q: What are the x and y components of a vector of magnitude 100 making an angle of 45? with the…

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Q: A girl delivering newspapers travels 1 block west, 3 blocks north, and then 5 blocks east. What is…

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Q: If a ball has a vertical component of 3cm and a horizontal component of 4cm. What is the magnitude…

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Q: What is the resultant vector of a vector A 5m going to South and vector B 6 m going to West?

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Q: A vector  A  has components  Ax = −6.50 m  and  Ay = 8.50 m.  Find the magnitude (in m) and the…

A: (a) Magnitude of A is 10.7m.

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

A: A = 5 m West, B = 10 m at 30° South of West C = 15 m South  Write the displacements in the vector…

Q: under what circumstances would a vector have components that are equal in magnitude?

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Q: What vector subtracted from 100km North give 200 km North 60 degrees East?

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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: A vector  A  has components  Ax = −4.00 m  and  Ay = 3.50 m.  Find the magnitude (in m) and the…

A: Given:X-component of the vector, Ax = −4.00 mY-component of the vector, Ay = 3.50 m

Q: Given vectors a=(4,8) and b=(-3,0) Find the magnitude of the resultant vector: T = 2 a + 36

A: Represent the vectors a and b in their resolved component.

Q: What is the resultant vector that represents the overall travel history a dolphin if its movement is…

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Q: A vector has a horizontal component of -14 and vertical component of 22, what is the magnitude of…

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Q: Vector A has components Ax = -15.0 and A, -4.01. What is the magnitude of this vector? Find the…

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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 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: the x-direction and the y-direction of the displacement vector are Rx = 0.3 mi and Ry = 0.2 mi, what…

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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: A vector has component Ax=-3.50m and Ay=6.00m. Find the magnitude (in m) and the direction (in…

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Q: A car travels 87 miles north and then 114 miles west. What is the magnitude of the car's resultant…

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Q: A vector  A  has components  Ax = −3.00 m  and  Ay = 6.00 m.  Find the magnitude (in m) and the…

A: Given,

Q: What is the direction of the resultant vector from +x-axis counter clockwise of vectors A = 2.0 m,…

A: Given Data: Vector A length, A=2 m & inclination angle, θA=35° Vector B length, B=5 m &…

Q: Which of the following could not be the magnitude of the vector sum of a 25-meter displacement…

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Q: A football player runs directly down the field for 35m before turning to the right at an angle of…

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Q: Displacement vector  A→A→ is directed to the west and has magnitude 2.76 km. A second displacement…

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Q: What is the resultant of vectors A=5m South and B=15m 60° South of West using the polygon method?

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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: The x-component and the y-component of the vector with a magnitude of 25.0 m and a direction of…

A: The x component of any vector a is,  ax=acosθ The y component of vector a is,  ay=asinθ Here, a is…

Q: Given vectors a=(9,-6) and b=(3,-2) Find the magnitude of the resultant vector: T = 3à +26

A: Given  a=(9,-6) b=(3,-2) r=3a+2b (where r, a and b are vectors)

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: What is the standard diretion of a vector with respect to positive axis if its direction is 30…

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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: A person walks first 10 km north and 20 km east then the resultant distance is

A: Distance is the total length of the path taken by the person. Displacement is the shortest distance…

Q: Vector A has components Ax = -16.1 and A, = -4.32. What is the magnitude A of this vector? Determine…

A: The x-component of A→, Ax=-16.1 The y-component of A→, Ay=-4.32

Q: A cross-country skier skis 1.0 km north and then 2.0 km east. How far and in what direction is she…

A: Given, skier skis 1.0 km north and then 2.0 km east Let resultant displacement be R km and let…

Q: A displacement vector is 23 km in length and directed 65° south of east. What are the components of…

A: clearly, x component is positive and y component is negative

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: Determine the resultant (magnitude and direction) of the following vectors: 80 N, 55 degrees North…

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Q: Determine the magnitudes of vectors  and  so that their resultant is a horizontal vector of…

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Q: Calculate the sum (resultant) of the two vectors. Vector A = 17.25 cm, 34.5° South of East Vector B…

A: A→= 17.25 cm @34.5o south of east B→ = 11.64 cm @28o North of west

Q: Find the distance traveled and the displacement of the following vectors: 6 m due south, 10 m due…

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Q: Consider the vectors: A = 106gwt @30° and B = 156gwt @135°

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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.