"A river flows from south to north at 5.0 km/h. On this river, a boat is heading east to west perpendicular to the current at 7.0 km/h. How fast and in what direction is the boat traveling?" 8.6 km/h and 36 degrees north of west 7.6 km/h and 46 degrees north of west 6.6 km/h and 39 degrees north of west 8.6 km/h and 36 degrees west of north

Q: A plane flies east for 620 km, then south east for 440 km, then 53 degrees south of west for 550 km.…

A: Given value--- east for 620 km, south east for 440 km. 53 degrees south of west for 550 km. We…

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 85.5 km/h…

A: Given Constant speed of the two boats is given as v=85.5 km/h Time of travels is t=0.500 h Angles…

Q: A Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0°…

A:

Q: Transcribed image text: 1. A small plane takes off from the island of Pango and flies for 90.0…

A: Given,1. Flight from Pango to Tango:- Time: 90.0 minutes = 1.5 hours- Speed: 250 MPH- Direction: 15…

Q: An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be…

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

A:

Q: A Coast Guard cutter detects an unidentified ship at a distance of 16.0 km in the direction 15.0°…

A:

Q: A cruise ship is moving through the water with a speed of 4.80 km/hr in a direction 34.0° east of…

A:

Q: The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a…

A:

Q: An airplane needs to head due north, but there is a wind blowing from the southwest at 80 km/hr. The…

A: Draw the velocity diagram for the air and plane.

Q: An ocean liner leaves New York City and travels 15.7° north of east for 145 km. How far east and how…

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Q: You are walking on a bearing of 32 degrees. You turn right 115 degrees and continue walking forward.…

A:

Q: An airplane pilot wishes to by to his destination 500 mi due west, but the wind is blowing at 24.9…

A:

Q: I ship sails 10 kilometers 40 degrees north of east. It then turns 100 degrees to the west, giving…

A: Given  I ship sails 10 kilometers 40 degrees north of east. It then turns 100 degrees to the west,…

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: e direction of the resultant of vector A moving 21 km/hr, north and vector B heading 12 km/hr, East

A: consider north as positive y direction and east as positive x direction therefore  resultant vector…

Q: The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a…

A:

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

A:

Q: A man jogs due east for a distance of 1.42 miles, turns around and goes due west for 3.06 miles, and…

A:

Q: A light plane attains an airspeed of 530 km/h. The pilot sets out for a destination 750 km due north…

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Q: An airplane is 175 miles north and 84 miles  east of an airport. Pilot wants to fly directly to…

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Q: Find the angle θ in ° N of E

A: Kindly note that here when vectors are shifted it is always shifted in parallel. The x and y…

Q: An airplane was flying in a speed of 120 km/h with the direction of true bearing 155° for 1.4 hours…

A: (a) The total distance of an airplane is, d=∆vt=120 km/h-45 km/h1.4 h=75 km/h1.4 h=105 km

Q: You are riding a sailboat in the open sea. Because of the winds in the area, you sail 2.00 km east,…

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: An airplane pilot wishes to fly due west. A wind of 72.0 km/hkm/h is blowing toward the south.   If…

A: The wind speed Vw=72 km/h The speed of a plane with respect to air VP/A=305 km/h

Q: A Coast Guard cutter detects an unidentified ship at a distance of 22.0 km in the direction 15.0°…

A:

Q: The eye of a hurricane passes over Grand Bahama Island in a direction 60.0° north of west with a…

A: In this question we need to find net displacement of hurricane. First of all, we will determine…

Q: A pilot wants to fly due north, but finds that he must direct his plane 19.0° to the east to…

A: Given data The velocity of the plane's airspeed is Vpw = 200 km/h. The plane is directed to an…

Q: Two racing boats set out from the same dock and speed away at the same constant speed of 82.5 km/h…

A: The speed of the two boats are same,The direction of the blue boat south of west,The direction of…

Q: A fishing boat leaves port on a bearing of 33° and travels 12.7 mi. The boat then turns due east and…

A: The correct answer is option (2) i.e. 14.2 mi; 41.2°

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.