You are traveling on an airplane. The velocity of the plane with respect to the air is 150 m/s due east. The velocity of the air with respect to the ground is 37 m/s at an angle of 30° west of due north. 1) What is the speed of the plane with respect to the ground? m/s 2) What is the heading of the plane with respect to the ground? (Let 0° represent due north, 90° represents due east). ° East of due North 3) How far east will the plane travel in 1 hour? m

Q: Vector A points in the positive y-axis direction. Vector B is directed at an angle of 60.0° below…

A: Vector A points in the positive Y axis ; Vector B directed at an angle 60° below the positive…

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: An airplane has an airspeed of 540 kilometers per hour bearing N45°E. The wind velocity is 30…

A: The air speed of an airplane v1=540 [ cos ( 45 ) i + sin ( 45 ) j ] =540i2+j2 The wind velocity is…

Q: Let B = 4.85 m at 60.0°. C and A have equal magnitudes. The direction angle of Ċ is larger than that…

A:

Q: A plane is flying with an airspeed of 165 miles per hour and heading of 145°. The wind currents are…

A: The Velocity of plane Vp=165 miles per hourThe velocity of wind Vw=20 miles per hour

Q: A roller-coaster car moves 172 ft horizontally and then rises 115 ft at an angle of 32.0° above the…

A:

Q: You drive 8.00 km in a straight line in a direction 25 degrees east of North. Find the distances…

A: Distance moved (d)= 8 km Direction of travel (θ) = 25 degree east of north

Q: On the map, let the +x-axis point east and the +y-axis north. An airplane flies at 810 km/h…

A: GivenV = 810 km/h

Q: Steve is driving in his car to take care of some lands. The first land has him driving to a location…

A:

Q: Vector A has x, y, and z components given by 7, 2, and 5 units.  What is the angle the vector makes…

A: Given Ax = 7 units Ay = 2 units Az = 5 units

Q: A vector representing 170 N is oriented at 32◦ with the horizontal. What is the magnitude of its…

A: Given data:  Force (F) = 170 N Angle (θ) = 32°, with the horizontal Required: The magnitude of the…

Q: Suppose you walk 15 m in a direction exactly 19° south of west then you walk 25.5 m in a direction…

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Q: Starting in Albany, you travel a distance 430 miles in a direction 39.5 degrees north of west. Then,…

A: Given the distance travel 430 miles in a direction 39.5o North of west.the distance travel 320 miles…

Q: If a resultant vector has an x-component of -43cm and a y-component of 34cm, what is the direction…

A:

Q: A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the…

A: Displacement vector = 4(cos45°i + Sin45°j) + 3(-cos60°i + Sin60°j) + 5(-Cos20°i + Sin20°j)  = (-…

Q: Sarah is traveling 22km due South. She turns 20° S or E for 16km. She then turns due N for 40km, she…

A:

Q: Starting from a tree you walk 15 m due north and then 50 m in the direction 53° south of west. What…

A: To find the distance needed to return to the tree, we need to find the resultant displacement from…

Q: You    are    lost    in    the    woods.        When    you    left    camp    you    walked…

A:

Q: 7. A train is traveling 22 degrees north northwest (i.e. 22 degrees west of due north) at a speed of…

A: Given, vTG =40 mph @  220 NorthwestvPT=3 mph @ 480 Southwest

Q: Which equation would give the x-component of Vector A with a magnitude of 76.50 m, 75° South of…

A: x component of a vector = A cosθ

Q: If a poodle is roaming in the direction N 38 degrees E at a speed of 2 mph . What is the poodle's…

A:

Q: An airplane has a cruising speed (speed of plane with respect to the air) of 567 mph. The wind is…

A: Velocity is a vector quantity. This means we have to pay attention to the angle between the…

Q: Len-Len walked 50 m. South and then 100 m. East. What is her displacement in polar coordinate form?…

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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…

Q: Suppose you first walk 9.5 m in a direction 20.0° west of north and then 17.5 m in a direction 40.0°…

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Q: Two airplanes are flying in the air at the same height. Airplane A is flying east at 451 mi/h and…

A:

Q: Consider the following two vectors: Ủ = (1.4) î + (2.1) Ĵ + (4.1) k v = (-6.5) + (-7.9)ĵ+ (13) k

A: Given, U→=1.4i^+2.1j^+4.1k^ V→=-6.5i^-7.9j^+13k^ From dot product of two vectors we get,…

Q: Starting in Albany, you travel a distance 130 miles in a direction 15.8 degrees north of west. Then,…

A: Analyze the diagram of the given situation. Note: The direction in east and north is taken to be…

Q: An airplane pilot wishes to fly to his destination 500 mi due west, but the wind is blowing at 28.7…

A: Here: |v→p|=169.1 mph|v→w|=28.7 mph|v→PG|= velocity of plane with respect to ground

Q: A person walks 66˚ west of north for 2.93 km. How far due north and how far due west would she have…

A: Answer  option(1)1.19 km north and 2.68 km west

Q: At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Gabby works as an aerial photographer. On one trip she takes off from the airport and flies 52km on…

A: here, she takes off from the airport and flies OA = 52km on a bearing N46°E. she then turns and…