A commercial jet sets its speed to 525 mph, and points its nose in the direction of 15 degrees west of north (-105 degrees from +x-axis). However, a strong jet stream is blowing at 110 mph at a direction of 20 degrees. The actual resultant velocity of the aircraft is the sum of these two vectors. a. Find the final velocity b. For this airspeed and wind velocity, find the angle west of due north that the nose will need to point in order for the final velocity to be due north.

Q: Ship A is located 3.5 km north and 2.4 km east of ship B. Ship A has a velocity of 24 km/h toward…

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Q: c. A person throws a ball with an initial velocity of 17 m/s, 65° above the horizontal. J v=17 m/s…

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Q: A car is driving directly north on the freeway at a speed of 111 km/h and a truck is leaving the…

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Q: Within the jet stream, a plane flies 170_m/s at 27° South of West. The jet stream itself is moving…

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Q: Draw each of the following vectors to scale.  Indicate the scale that you have used.  Use graphing…

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Q: An airplane has an airspeed of 550 ​km/h bearing 43° north of east. The wind velocity is 60 km/h in…

A: velocity of airplane (v)= 550 km/hr @43o north of east velocity of wind (v') = 60 km/hr @28o north…

Q: A straight river flows east at a speed of 12 mi/h. A boater starts at the south shore of the river…

A: Since, you have uploaded a question with multiple sub-parts and the first sub-part is solved, we…

Q: A boy riding a skateboarder shoots off a ramp with a velocity of 10 m/s, directed at an angle of 35°…

A: Given  Velocity v=10m/s θ=35 Initial height h=1m

Q: a. Can a vector have nonzero magnitude if a component is zero?If no, why not? If yes, give an…

A: (a) A vector can have a non-zero magnitude even if a component is zero since there may be other…

Q: You wish to row straight across a 63-m-wide river. You can row at a steady 1.3 m/s relative to the…

A: A.    Given that the river is 63m wide, speed of the person rowing the boat relative to water is…

Q: Someone drives 215 km west before turning to go 98 km southwest at 45 degrees. a. How far are they…

A: Initially, the person covers a distance  in west direction.After that, the person travels a distance…

Q: ommy the turtle is 255 cm east of his house. He started the afternoon by travelling at 90.0cm in a…

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Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

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Q: Jack and Jill ran up the hill at 3.0 m/s. The horizontal component of Jill’s velocity vector was 2.5…

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Q: Canada geese migrate essentially along a north- south direction for well over a thousand kilometers…

A: Given that: The speed of the goose is vg=100 km/h The speed of the wind is vw=34 km/h The covered…

Q: You are watching an archery tournament when you start wondering how fast an arrow is shot from the…

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Q: A plane has an airspeed of 200 mph. The pilot wishes to reach a destination 600 mi due east, but a…

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Q: A person in the passenger basket of a hot-air balloon throws a ball horizontally outward from the…

A: The velocity when the ball is ascending is The angle above the horizontal is

Q: The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send…

A: Given that The angle turned after 5 minutes is β=35o east of south  The velocity vs time graph The…

Q: A velocity vector has a magnitude of 720 m/s. Two students draw arrows representing this vector.…

A: The magnitude of the velocity vector is 720 ms−1. In Clarisse’s scale 1 cm→100 ms−1. When drawing an…

Q: Protons in a particle accelerator drop 1.3 μm over the 1.5-km length of the accelerator. What is…

A: Distance dropped by the proton = 1.3 μm Total length of accelerator (d) = 1.5 km = 1500 m

Q: 61. E An ocean liner leaves New York City and travels 18.0° north of east for 155 km. How far east…

A: Given value--- An ocean liner leaves New York City and travels 18.0° north of east for 155 km. We…

Q: An SR-71 reconnaissance aircraft, the world's fastest aircraft, is flying east at 3000 km/h. a. If…

A: Solution: Given: u = velocity of aircraft (Eastward) = 3000 km/h v = velocity of crosswind…

Q: Setup with a labeled diagram. Calculate V is m/s and its horizontal Vx and vertical Vy components.…

A: Given data: The aeroplane takes off speed is: V=288 km/h The angle of takes off is: θ=23∘ The…

Q: cannon is aimed across Bottomless Gorge at an angle of 22.6° above the horizontal. The mouth of the…

A: Let the angle of projection is θ with the horizontal. Horizontal velocity VH​=Vcosθ=100cosθ Vertical…

Q: A cannonball shot from a buried cannon is fired at an angle of 37 degrees above a level field. The…

A: The initial velocity of the cannonball, vi=50 m/s   The fired angle, θ=37°

Q: A physics student adds two displacement vectors with magnitudes of 8.0 km and 6.0 km. Which one of…

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Q: Suppose you first walk 10.5 m in a direction 20° west of north and then 22.5 m in a direction 40°…

A: It is given that the vectors have been resolved in components. Given that A = 10.5 m , 200…

Q: While vacationing in the mountains you do some hiking. In the morning, your displacement is S…

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Q: A student drives 1.67 km due west to get coffee before class. The trip to get coffee takes her 6.00…

A: to determine the student's average velocity, we need to calculate the displacement and divide it by…

Q: Question 1: A helicopter flies with an airspeed of 42.5 m/s [W]. If the wind is traveling with a…

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Q: (b) What is the y-component of the average velocity of the plane during the second leg of the trip,…

A: Velocity of the plane while traveling to the north east to city B. Hence plane travel from East (+x…

Scalars and Vectors

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