In the control tower at a regional airport, an air traffic controller monitors two aircraft as their positions change with respect to the control tower. One plane is a cargo carrier Boeing 747 and the other plane is a Douglas DC-3. The Boeing is at an altitude of 2500 m, climbing at 10° above the horizontal, and moving 30° north of west. The DC-3 is at an altitude of 3000 m, climbing at 5° above the horizontal, and cruising directly west. (a) Find the position vectors of the planes relative to the control tower. (b) What is the distance between the planes at the moment the air traffic controller makes a note about their positions?

Q: The vectors A and B are given by: A= 5 i - 3 j, and B=4i- 5 j. Find the direction of: C = A+ B (Mark…

A: The two vectors are , A = 5i - 3j , B = 4i - 5j To find = Direction of C = A + B

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

A:

Q: You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B,…

A: Write down the given values using suitable variables. Here d signifies transmitter between A and B,…

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

A:

Q: A police officer is driving due north at a constant speed of 28 m/s relative to the ground when she…

A: As per the question, Given data: Velocity of car with respect to ground = 28 m/s Velocity of truck…

Q: A football is thrown with a velocity of 10.2 m/s at an angle of 36° to the horizontal. What is 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: 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: A person sitting in a train that is moving at 17.63 m/s due east is watching a crow fly over. The…

A:

Q: Suppose Alex is navigating using a compass. She starts walking at an angle 60° north of east and…

A:

Q: A person travels 35 m East and then 55 m in a direction that is 32° from the positive x axis.

A:

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: A stuntman runs horizontally off the right edge of the top of a building that is 4.47 m high at a…

A: The objective of the question is to find the horizontal component of the stuntman's final velocity…

Q: An airliner passes over an airport at noon traveling 530 mi/hr due east. At 1:00 PM, another…

A: Solution: Given: v1 = speed of first airliner = 530 mi/hr v2 = speed of second airliner = 580 mi/hr…

Q: A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude…

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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: An airplane wished to fly due north. The airplane can achieve 300 km/hr in still air. If there is a…

A:

Q: A pirate ship is 506 m away from a fort that is being defended by artillery that is sea level. The…

A: Given data *The pirate ship is at a distance is R = 506 m *The speed of the cannonball is u = 95 m/s…

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

A:

Q: A ship sets out to sail to a point 172 km due north. An unexpected storm blows the ship to a point…

A: The distance of the ship from its original position is, d=172 km2+111 km2=204.71 km

Q: A coast guard ship is traveling at a constant velocity of 3.20 m/s, due east, relative to the water.…

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Q: Consider that a woman flies 42km in a direction 60° north of east and then flies 32km in a direction…

A: The vector representation of the distance travelled by the women is given below:…

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°

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

A:

Scalars and Vectors

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