A boat is traveling at 54 knots in a direction of 48°. It encounters wind moving at 14 knots in a direction of 20°. What is the true velocity and direction of the boat? Round to the nearest whole number. a 67 knots; 42° b 4,447 knots; 68° c 49 knots; 47° d 67 knots; 68°

Q: A plane headed due south is traveling with an airspeed of 200 miles per hour. The wind currents are…

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Q: Sam moves South for 1200km then he turns 70° S of E for 500km. What is his direction and…

A: Consider the diagram for the position of San as follows.

Q: A plane is flying at 36.0° south of west at 150. mi/h and encounters a wind from 75.0° north of east…

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Q: The velocity of a puck is 1.7 m/s at 23° north of east. Determine the x & y components of the…

A: velocity of a puck (v) = 1.7 msangle (θ) = 23o north of east

Q: olown along the following straight lines: 2.50km 35.0° north of east; then 4.70 km 60.0° south of…

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Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: The given distances travelled with respect to x-axis are,

Q: 27 A piece of block is moved 6m towards east and 4m at West 30° North. What is the direction of…

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

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Q: Table 2. Range and height for different launch speeds (initial velocities) Launch angle = 45° Launch…

A: Let, θ be the launch angle and g be the acceleration due to gravity. 6) Write the expression for the…

Q: 43

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Q: An airplane drops a vertical distance of 26m and moves forward a Horizontal Distance of 412m what is…

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Q: A Polynesian boater leaving Vanunu wishes to make landfall on an island 210Km directly south. She…

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Q: A sailboat is traveling east at 8.5 m/s. A sudden gust of wind gives the boat an acceleration a =…

A: The initial velocity of the sailboat is 8.5 m/s in east direction. The acceleration of the sailboat…

Q: A river is flowing at a rate of 7.62 m/s due South. You are canoeing across the river at a speed of…

A: Given that:- Velocity of river=7.62m/s due south

Q: A car travels along the following paths: i) 40 miles, 53.0° Nof E ii) 60 miles, 25° N of W iii) 50…

A: As per given data, First calculating the net displacement and then we can find the direction of net…

Q: A ball is kicked with an initial horizontal velocity of 16 m/s and initial vertical velocity of 10…

A: The given values are,

Q: A ball is thrown with a velocity of 30.0 miles per hour at an angle of 60 degrees from the top of a…

A: Given data The initial velocity of the ball is u = 30 mph = 44 ft/sec. The angle of inclination of…

Q: Two ships leave the port at the same time. One travels 40° west of north at a speed of 50kph. The…

A: Velocity of first ship = 50 kph @40o west of north Velocity of second ship = 33 kph@13o west of…

Q: A football is kicked with an initial velocity of 23.0 m/s, 37.0° above the horizontal. What is the…

A: GIven  Initial velocity v=23m/s Angle θ=37

Q: 2) A train at a constant 42.0 km/h moves east for 36.0 min, then in a direction 53.0° east of due…

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Q: A ship is on course for The Netherlands, heading North at 7.00 m/s. The ocean current is moving at…

A: horizontal component of velocity is  vx=1.5m/scos40°=1.149m/s

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

A: The angle turned after 5 minutes is east of south The velocity vs time graphThe area under the…

Q: A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km…

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Q: a bottle rocket is launched with a velocity of 30 m/s at an angle of 25 above the horizontal. what…

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Q: A train at a constant 46.0 km/h moves east for 46.0 min, then in a direction 54.0° east of due north…

A: Given: speed of train (v) = 46.0 km/h time for which train moves in east direction t1 = 46.0 min.…

Q: A bird flies the following the displacements below at constant speed and is being chased by a dog,…

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Q: In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great…

A: d1 = 2.5 km @45o north of west d2 = 4.70 km@60o south of east d3 = 5.1 km due east d4 = 7.2 km @55o…

Q: Andrea is paddling a kayak. She starts from a dock and paddles 13.5km S550W. Then she decides to…

A: First displacement of Andrea (d1→) = 13.5 km ( 55 degree west of south)= 13.5 ( - sin55oi^ -…

Q: A plane headed due south is traveling with an airspeed of 180 miles per hour. The wind currents are…

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Q: The river runs straight north-south with a current 4mph south. You paddle straight from west to east…

A: Solution:   Given Data,     vp=Speed of person along the west-east =3 mph  vc=Speed of current along…

Q: An object must fly to a town located 200km [SW] of its current position. There is a strong wind of…

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Q: An airplane pilot wishes to fly directly westward. According to the weather bureau, a wind of 75.0…

A: Given: Velocity of air (wind),VA/G=75 km/hr Velocity of plane w.r.t air, VP/A=310 km/hr Let's define…

Q: A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one…

A: first phase of displacement =5 km , north east second phase of displacement = 4 km , 30 degrees…

Q: A plane is capable of flying 180 km/h in still air. The pilot, takes off from an airfield and heads…

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Q: determine the two times t₁ and t2 when the velocity of the ball makes an angle of 34° with the…

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Q: A football player kicks a ball with a velocity of 32.0 m/s in a direction 50° above the horizontal.…

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Q: A small ship capable of making a speed of 6.5 knots through still water maintains a heading due east…

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Q: A student drives 10 km to the north and then 20 km 30 degrees South of the east. By using the…

A: Given value--- d1 = 10 km to the North. d2 = 20 km , 30 degree south of the east. We have to…

Q: A train at a constant 48.0 km/h moves east for 26.0 min, then in a direction 50.0° east of due north…

A: Given  As per given data we have the vector diagram.

Q: A quarterback throws a football with a velocity of 41 mph and a direction of 168°. The wind on the…

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Q: Given a velocity, V= 5m/s at 120°. What are the x and y components?

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Q: Question 22: At what angle a student must throw a ball in order to achieve the maximum ranget (a)…

A: Please note : As per answering guidelines I can answer the first question only. Since, this is not a…

Projectile Motion