a typhoon is moving at 55 km/h in the direction 40° south of east. find the horizontal and vertical components of its velocity

Q: You throw a ball from an initial height of 3.03 m above the ground, with an initial speed is 15.1…

A: Given data: Initial height h=3.03 m. Initial speed vo=15.1 m/s. Launch angle θ=42.4°. The…

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: A whale travels 25.0 km [E 30° N] and then moves 45.0 km [N 43.0° W]. What is the total displacement…

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Q: Pan am Flight 7 was one of the famous planes to disappear into the Bermuda Triangle, which is en…

A: This can be solved by vector addition method. First draw the vectors as follows: First ,the plane…

Q: A Coast Guard ship is traveling at a constant velocity of 4.91 m/s, due east, relative to the water.…

A: The velocity of the coast guard ship relative to the water is: The initial position of the object…

Q: ryboat raveling in a a speed ve to the water. A passenger is walking with a velocity of 1.67 m/s due…

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Q: After covering the time that the windless journey is usually completed, how far is the plane from…

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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: The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the…

A: According to the data Vair =30km/h from the N45W Vplane=150km/h in the N

Q: A migrating salmon heads in the direction N 45° E, swimming at 5 mi/h relative to the water. The…

A: Given Data -----  migrating salmon heads in the direction N 45° E. migrating salmon swimming at 5…

Q: An airplane is flying at a heading S 75° W at a speed of 230 miles per hour relative to the air. The…

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

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Q: A sailboat moving in the direction shown is tacking to windward against a north wind. The log…

A: Speed of the boat, vb=5.1 knots The angle made by the apparent wind velocity with respect to the…

Q: A falcon is flying at a bearing of 199o with an airspeed of 190 miles per hour. The wind is blowing…

A: we need to use vector addition. We can break down the velocity of the falcon and the velocity of the…

Q: At a latitude of Φ=33°, at an altitude of 30000 km above the Earth's center, what is the…

A: To determine the acceleration vector of an object at a specific latitude and altitude, we need to…

Q: A Coast Guard ship is traveling at a constant velocity of 4.01 m/s, due east, relative to the water.…

A: We will answer the question by adding the relative velocity vectors. The detailed steps are given…

Q: In the figure, a radar station detects an airplane approaching directly from the east. At first…

A: Given: At first, the distance between the station and the airplane is, d1=390 m. At first, the angle…

Q: Alex is flying a plane to a location 1000 km due north of her present location. There is 45km/h wind…

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Q: A particle moving in the x-y plane has a position vector given by r = 0.81t²i +0.74t³j, where r is…

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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: Suppose that a wind is blowing in the direction S45°E at a speed of 50 km/h. A pilot is steering a…

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Q: A train at a constant 56.0 km/h moves east for 29.0 min, then in a direction 47.0° east of due north…

A: We are given 3 different displacements and time taken for these displacements. We first find the net…

Q: A Coast Guard ship is traveling at a constant velocity of 3.59 m/s, due east, relative to the water.…

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Q: A plane is flying 32 degrees Northeast with a velocity of 175 m/s. The wind is blowing at 9 m/s with…

A: Given: The velocity of the plane is 175 m/s. The velocity of the wind is 9 m/s.

Q: After flying for 18 min in a wind blowing 38 km/h at an angle of 22° south of east, an airplane…

A: Given: The speed of the wind is 38 kmh. The angle made is 22∘. The distance of the town is 57 km.…

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: At t = 0 an object starts from the origin and moves with a constant acceleration of a = ( − 4.72 –…

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Q: The compass of an aircraft indicates that it is headed due east, and its airspeed indicator shows…

A: According to the question, Also, it is given that, V→pw=150 kmhr Here, V→pw is the velocity of…

Q: A train at a constant 56.0 km/h moves east for 29.0 min, then in a direction 47.0° east of due north…

A: Given:- A train has a constant velocity of v =56.0 km/h  the train travels in the direction of the…

Q: A plane is flying directly into a headwind at 300.0 km/h relative to the air. The air is blowing at…

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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: A projectile is launched with Vg 8.3 m/s and initial angle = 1.01 radians above the horizontal. w is…

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Q: A rocket is launched from a level ground following the path given by y=x−x^3/90, where x is the…

A: Path of the Rocket is given by, y=x - x3/90 velocity vector , V'= Vxi +Vyj…

Q: A light plane attains an airspeed of 490 km/h. The pilot sets out for a destination 790 km due north…

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Q: An airplane flies horizontally from east to west at 266 mi/hr relative to the air. If it flies in a…

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Q: Two ships A and B leave the same port at 3:00 p.m. Ship takes a course N 43°43'W at 30 km per hour…

A: Let the port be denoted by O The two ships make a right angle triangle OBA. Angle between OB and OA…

Q: A soccer ball is kicked with a speed of 9.0 m/s at an angle of 25° above the horizontal. Write the…

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Q: A pilot starting from Athens, New York, wishes to fly to Sparta, New York, which is 381 km from…

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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.