A plane is travelling from Portland to Seattle, which is 100 miles due north of Portland. There is a constant wind traveling southeast at 30 mph (w = 30). If the plane needs to get to Seattle in 1 hour while flying due north, at what speed (relative to the wind) and angle should the pilot fly?

Q: A projectile is launched with v₁ = 20, at an angle of 60° above horizon at a horizontal distance of…

A:

Q: A high-tech drone flies over Miami, FL in a direction 59° west of north with a speed of 39 km/h.…

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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: 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: A rocket is launched at ground level with an initial speed of 189 ft/s, at an angle of 34° above the…

A: The objective of the question is to find the vertical distance from where the rocket was launched to…

Q: You can use any coordinate system you like in order to solve a projectile motion problem. To…

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

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

A:

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: soccer player kicks the ball toward the goal, which is 30.2 m in front of her. The ball leaves her…

A: Distance of the goal post is S = 30.2 m Initial velocity of the ball is u = 24 m/s Angle of…

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: A placekicker is about to kick a field goal. The ball is 20.1 m from the goalpost. The ball is…

A:

Q: A arrow is launched at ground level with an initial speed of 160 ft/s, at an angle of 32° above the…

A:

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: A daredevil drove his motorcycle up an incline at 30 degree angle with the horizontal and got air…

A: Write a given values of this question. θ=30∘h=11mv=20m/s Acceleration in x- direction is zero.…

Q: An experimental plane just after takeoff climbs with a speed of 300 km/h at an angle of 30 degrees…

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Q: During the battle of Bunker Hill, Colonel William Prescott ordered the American Army to bombard the…

A: The vertical and horizontal components of the initial velocity is:

Q: During the battle of Bunker Hill, Colonel William Prescott ordered the American Army to bombard the…

A: The initial vertical velocity of the projectile is given by, v0,y=v0sinθ Here, v0 is the initial…

Q: A plane flies 471 km east from city A to city B in 42.0 min and then 919 km south from city B to…

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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 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: What bearing and airspeed are required for a plane to fly 700 miles due north in 3.5 hours if the…

A: Use vector resultant formula

Q: Sheena can row a boat at 2.10 mi/h in still water. She needs to cross a river that is 1.20 mi wide…

A:

Q: A plane flies 445 km east from city A to city B in 49.0 min and then 964 km south from city B to…

A: Given:-  A plane flies a distance d1= 445 km  east from city A to city B.  The time to travel a…

Q: An airplane flies 3 km due north from one city to another. Its airspeed is 132 m/s and a constant…

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Q: Oasis B is 8.0 km due east of oasis A. Starting from oasis A, a camel walks 20 km in a direction…

A: Given, Position of oasis B from oasis A, d=8 i km, i represents east Displacements of camel, d1=20…

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: You tossed out a ball from a building at a height of 50.0 meter abov of 9.00 m/s and angle of 25° to…

A: Given:- The height of the ball from the ground h = 50 m  initial velocity vi = 9.0 m/s and angle of…

Scalars and Vectors

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