An airplane starts from an airport located at the origin 0 and flies 150 miles in the direction 20 degrees north of east to City A. From A, an airplane then flies 200 miles in the direction 23 degrees west of north to city B. From B, the airplane flies 242 miles in the direction 10 degrees south of west to city C. Express the location of city C as vector. Illustrate and find the distance from 0 to C.

Q: MY NOTES ASK S&P are shown below. S = 46, & P = 12. Let R=S-P. Determine the components, magnitude,…

A: S→ = 46 units @ 80 degree clockwise from -y axis P→ = 12 units @ 80 degree clockwise from +x axis

Q: Suppose you first walk A = 12.0 m in a direction 20.0 degrees west of north and then B = 20.0 m in a…

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Q: A plane is flying with an airspeed of 140 miles per hour and heading 150°. The wind currents are…

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Q: You first walk 10 m at an angle of 30° east of north. Then you walk 15 m at an angle of 45° south of…

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Q: An airplane flies due west at an airspeed of 446 mph. The wind blows in the direction of 42' south…

A: This question is based on resultant of vectors.

Q: Your instructor purchases a drone. He gets out of the roof of a building and flies the drone 140…

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Q: A) A vector travels 56 units to the right and 40 units up. Find the magnitude of the vector (or, in…

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Q: A breeder wants to fence off his four-sided plot of flat land, as shown in the figure. He measures…

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Q: The vector A has magnitude of 5.0 and a direction of 14 , while B has a magnitude of 4.0 and a…

A: The below shows diagram showing the addition of vectors A and B.

Q: Answer the following questions based on the Vector 1: 390 miles @ 22.6° N of East Vector 2: 336…

A: Vector 1 = 390 miles 22.6 N of eastVector 2 = 336 miles 59.6 W of NorthVector 3 = 80 miles due south

Q: The summit of a mountain, 2330 mm above base camp, is measured on a map to be 4850 mm horizontally…

A: Displacement is a vector quantity whose length gives the shortest distance between the initial and…

Q: A Red Cross helicopter takes off from headquarters and flies 70 km in the direction 240° from North.…

A: Displacement 1, d1=70km, 240o from north Displacement 2, d2=115km, 305o from north

Q: Draw your vector diagram, labeling each vector and the resultant vector

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Q: ▼ Part A Find the magnitude of the vector A₁ represented by the pair of components: A₁ = -7.70 cm,…

A: Components of each vector is given (different for each subpart)Magnitude of vector?Direction of…

Q: A unit vector has a direction 230º. Write it as ê = a i + b j. Type in your answer in the box.…

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Q: An airplane flies 200 km due west from city A to city B and then 250 km in the direction of 33.0°…

A: Firstly aeroplane fly 200 km west then the displacement travel by plane from A to B = -200i^ Then…

Q: Vector D = -A - B + C, Ax = 12, Ay = -9, Bx =9 and C has a magnitude of 25 and points at 130. Use…

A: Consider the given vector equation is,

Q: 32. A small plane flies 40.0 km in a direction 60° north of east and then flies 30.0 km in a…

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Q: Vector A has a magnitude of 21.0 m and makes an angle of 30° above the positive z axis. Vector B has…

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Q: Figure below shows two vectors, P and Q. Based on the information provided in the picture determine…

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Q: vector B = Bxi + Byj, when added to vector C = 3.0i + 4.0j, yields a resultant vector A that is in…

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Q: Referring to the vectors in the figure, express the sum A⃗ +B⃗ +C⃗  in unit vector notation.(Figure…

A: The x-component of the vector sum is given by

Q: QUESTION 1 The vector V has a magnitude of 199.51 km and makes an angle of 78.88 degrees with the…

A: Given : V = 199.51 km θ = 78.88 degrees

Q: A plane is flying with an airspeed of 140 miles per hour and heading 150°. The wind currents are…

A: Given, speed of the plane is vp=140mi/h the direction of the plane is toward 150o speed of the wind…

Q: Calculate the y component of the displacement vector r, which has magnitude 11.4 metres and is at…

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Q: (a) Next, draw vector V representing a ship traveling 383 miles on a bearing of N 55° W. (b) Find…

A: Meaning of N 55° W : To visualize it, imagine facing North, and then turn 55 degrees towards the…

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.