An airplane left an airport and flew 105 mi in the direction of North 50.4000 deg E, then turned and flew 493 mi in the direction of South 11.9000 deg E. How far (mi) and in what direction should it return to the the airport?

Q: A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude…

A: Given,

Q: spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction…

A:

Q: Vector F goes 10.0 meters in a direction of 150 from the x-axis. What are the x-component and…

A:

Q: Your friend skis 2.00 kmkm east and then 1.90 kmkm north. How far is he from the starting point?…

A: Please see the answer below.

Q: A cruise ship leaving a port travels 50 km and 45 degrees north of west and then 70 km and 70…

A: First the ship travels from A to B and then B to C. AB→=50 km-cos45oi^+sin45oj^BC→=70…

Q: Given the following vectors, find the resultant using analytical method: 1. A 50 m at 55 B = 150 m…

A:

Q: A man pushing a mop across a floor causes it to undergo two displacements. The first has a magnitude…

A:

Q: A spelunker is surveying a cave. She follows a passage that takes her a distance 190 m straight…

A:

Q: .• A dog in an open field runs 12.0 m east and then 28.0 m in a direction 50.0° west of north. In…

A:

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

A: Vector.

Q: A kayak on a lake is moving at a constant speed of 4.2 m/s in a direction 43.3° north of west. After…

A:

Q: Calculate the x-component and the y-component (in m) of the vector with magnitude 12.0 m and…

A: x-component =12 cos 54°                        =7.05 my-component=12 sin 54°…

Q: A kayak on a lake is moving at a constant speed of 2.0 m/s in a direction 42.5° north of west. After…

A: The distance will be the product of speed and time taken.

Q: "You are out for an early morning walk. You walk 5.0 m, South and 12.0 m, East. Then, you decided to…

A: Let   A = 5m, south  Ax= 0 m, Ay= - 5m B= 12m, east Bx= 12m, By= 0 m C= 4m, south west D = 6m, west

Q: An airplane is known to be heading north at 87.71 m/s, though its velocity relative to the ground is…

A: Resultant velocity of airplane (vr→) = 87.71 j^ m/sVelocity of plane with repect to ground (V→pg) =…

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 ship sails 20 kilometers 20 degrees north of east. It then turns 130 degrees to the west, giving…

A:

Q: A runway dog walks 0.64 km due N.He then runs fue W to a hotdog stand.If the magnitude of the dog's…

A:

Q: Compute the route of a snail taking 1.9 m displacement at 18 degrees south east

A: The vector diagram of the snail's route is shown below. Here, d is the displacement vector.

Q: A girl delivering newspapers covers her route by traveling 3.00 blocks west, 4.00 blocks north, then…

A: Draw the position diagram for the girl.

Q: Vector G is 40.3 m long in a -35.0° direction. Vector H is 63.3 m long in a 270° direction. Find the…

A:

Q: Two people are moving a heavy crate. One pushes on the crate with a force A which has a magnitude of…

A: Given: The force exerted by A is F=424.3 N. The force exerted by B is F'=303.8 N.   The expression…

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

A:

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

A:

Q: A plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes…

A:

Q: A second force (F) of magnitude 150 N is directed West and a third force (F3) of magnitude 230 N is…

A:

Q: An airport wishes to send out a rescue crew. Which direction and how far should this crew fly to go…

A:

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

A:

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: The vector -5.2 A→ has a magnitude of 37 mm and points in the positive x direction. Find the x…

A:

Q: A boat travels on a course of bearing N 37 degree 109 W for 79.5 miles. How many miles north and how…

A: Given: The angle is θ=37°. The distance is d=79.5 mi. The expression for miles travelled by boat in…

Q: S displacement measures 200 m, 40 degrees North of West. Its horizontal component S = 200 m 153.21 m…

A: Given, A displacement measures 200 m, 40 degrees north of west.

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…

A:

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: A plane is travelling with a speed of 315ms¹ travelling on a bearing of 320° while it experiences a…

A:

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

A: Given that:- Basic concepts of vector.

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

A:

Q: An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles,…

A: Given: Bearing of runaway, N 28° E

Q: Express each force in Cartesian vector form and then determine the resultant force. F₂ = 175 lb 60°…

A:

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

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

Q: A person desires to reach a point that is 3.40 km from her present location and in a direction that…

A: Given: D = 3.4 km at 35 degree north of east

Q: An fighter aircraft has left the airbase and travels 30 km due south. On the other hand, a bomber…

A:

Q: war airship leaves the port in Liberio and flies 175 km at 48.0" East of North and then changes…

A:

Q: Determine the magnitude and direction of the resultant force. Express the resultant force using…

A:

Q: A ship is traveling at 32 km/h in the South Atlantic, 30 degrees N of W, when it meets a wind with…

A:

Q: A þird flies 12 km in the direction of S 60° W and then 5 km due west. Find bird's distancė and…

A: Given:  r1→=12km S60°Wr2→=5km east

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.