In the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d₁ = 330 m from the station and at angle 0₁ = 41° above the horizon. The airplane is tracked through an angular change A0 = 118° in the vertical east-west plane; its distance is then d₂ = 850 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon. W ΔΘ Airplane d₁ Radar dish

In the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d₁ = 330 m from the station and at angle 0₁ = 41° above the horizon. The airplane is tracked through an angular change A0 = 118° in the vertical east-west plane; its distance is then d₂ = 850 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon. W ΔΘ Airplane d₁ Radar dish

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: Multiple Concept Example 9 deals with the concepts that are important in this problem. A grasshopper…

Q: A novice golfer on the green takes three strokes to sink the ball. The successive dis- placements…

Q: Consult Multiple Concept Example 9 in preparation for this problem. A golfer, putting on a green,…

Q: A particle moves horizontally in uniform circular motion, over a horizontal xy plane. At one…

A: Given at coordinates (3.20m,4.60m) velocity v=-4.40i^m/s acceleration a=+10.4j^m/s2 to find x and y…

Q: Problem 2: A pilot flies 30 km in a direction 60° north of east, then flies 20 km in a direction 15°…

Q: (a) What is the magnitude (in km) and direction (in degrees south of east) of her displacement…

A: The distance moved by the person towards the south, The distance moved by the person toward the…

Q: A roller-coaster car moves 172 ft horizontally and then rises 115 ft at an angle of 32.0° above the…

Q: While competing in the long jump, a person leaps over a smooth horizontal sand surface. She lands on…

A: Given:- The landing velocity of the person is vf= 7.75 m/s The angle of land below the horizontal…

Q: Instructions for finding a buried treasure include the following: Go 73.0 paces at 235°, turn to…

Q: A novice golfer in the green takes three strokes to dunk the ball. The successful displacement of…

Q: A person walks 2.05 km south and then 2.75 km east, all in 3.00 hours. (a) What is the magnitude (in…

Q: A ladybug is trying to get to a certain flower by following this path. She moves 23 cm to the left,…

Q: The position vector 7 = (3.50t)î + (et + ft²) locates a particle as a function of time t. Vector is…

Q: A hiker lost in the woods walks in specific angles in order to find the way out of the woods. Assume…

Q: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…

A: Solution:-

Q: so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 32.0° above the…

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

Q: You enter an antique classic car road rally with your 1956 Studebaker Golden Hawk. The rally course…

Q: A dog walks due East for 10.5 meters, then turns around and walks due West for 6.0 meters. What is…

Q: a.) Vector A has a magnitude of 6.0 m and points 30° north of east. Vector B⃗ has a magnitude of 4.0…

Q: A novice golfer on the green takes three strokes to sink the ball. The successive displacements are…

Q: A man walks 3.05 km south and then 2.50 km east, all in 3.20 hours. (a) What is the magnitude (in…

A: Given data *A man walks travels distance at the south is, OB = 3.05 km *Another distance traveled by…

Q: One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which…

Q: A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal. What is the…

A: Given, A person walks 14 m East and then walks 33 m at an angle 13° above the horizontal .

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…

Q: moves 5.9 m due east. On the second, it moves 1.8 m at an angle 20° north of east. On the third, it…

A: Net displacement is sum of all the displacement. Assume East as positive x axis and north as…

Q: What is the x-component of the child's initial position?

A: Component of vector Ax = Acosθ

Q: A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river…

Q: Morty is supposed to meet up with Rick, who is 50 mi north and 100 mi east of Morty,after exploring…

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: 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: At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis,…

A: Concept: As per question draw the schematic diagram of the system. For Part (a) The schematic…

Concept explainers

Scalars and Vectors

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

Question

In the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance
d₁ = 330 m from the station and at angle 0₁ = 41° above the horizon. The airplane is tracked through an angular change A0 = 118° in
the vertical east-west plane; its distance is then d₂ = 850 m. Find the (a) magnitude and (b) direction of the airplane's displacement
during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative
angle being below the horizon.
de
731
W
Airplane
d₁
Radar dish

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Final Answer

Trending now

This is a popular solution!

Step by step

Solved in 6 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A jogger travels a route that has two parts. The first is a displacement A of 2.65 km due south, and the second involves a displacement → B that points due east. The resultant displacement A + B has a magnitude of 4.75 km. (a) What is the magnitude of B, and (b) what is the direction of A + B as a positive angle relative to due south? Suppose that A - B had a magnitude of 4.75 km. (c) What then would be the magnitude of B, and (d) what is the direction of A - B relative to due south? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units > > >
In the figure, a radar station detects an airplane approaching directly from the east. At first observation, the airplane is at distance d₁-320 m from the station and at angle 0₁ - 44° above the horizon. The airplane is tracked through an angular change A0 - 123° in the vertical east-west plane; its distance is then d₂ - 750 m. Find the (a) magnitude and (b) direction of the airplane's displacement during this period. Give the direction as an angle relative to due west, with a positive angle being above the horizon and a negative angle being below the horizon. (a) Number (b) Number W Units Units AP Airplane d₂ Radar dish
A plane flies 479 km east from city A to city B in 45.0 min and then 950 km south from city B to city C in 1.10 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east).
I start walking. The 1st leg of my trip I walk dA =95m at θA=21° south of east. The 2nd leg of my trip I walk. dB=95m at θB =27° north of east. On my final leg I walk dC =85m at θC=58° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north. What is magnitude of my displacement vector (in meters) as measured from the origin, and what is the angle of my displacement vector as measured counter clockwise from the x-axis.
A plane flies 493 km east from city A to city B in 45.0 min and then 983 km south from city B to city C in 1.30 h. For the total trip, what are the (a) magnitude and (b) direction of the plane's displacement, the (c) magnitude and (d) direction of its average velocity, and (e) its average speed? Give your angles as positive or negative values of magnitude less than 180 degrees, measured from the +x direction (east). (a) Number i Units (b) Number Units (c) Number i Units (d) Number i Units (e) Number Units II
one afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.56 km. They start at the west side of the lake and head due south to begin with. (a) what is the distance they travel? (b) the magnitude of the couple's displacement? (c) what is the direction(relative to due east) of the couple's displacement?
First, a woman walks 25 m in a direction 49° north of east. Then she walks 23 m heading 15° north of east. Finally, she turns and walks 32 m in a direction 68° south of east. What is the total distance she covers? What is her total displacement?
At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball? yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?
A GPS tracking device is placed in a police dog to monitor its whereabouts relative to the police station. At time t₁ = 23 min, the dog's displacement from the station is 1.2 km, 33° north of east. At time t₂ = 57 min, the dog's displacement from the station is 2.0 km, 75° north of east. Find the magnitude and direction of the dog's average velocity between these two times. 1.4 m/s, 31° west of north 0.80 m/s, 42° west of north 1.6 m/s, 42° north of east 0.52 m/s, 88° north of east 0.67 m/s, 21° west of north
a submarine travels at a constant velocity of 180.0 m/s for 92.0 minutes at 90.0 degrees. then the sub accelerates to a constant velocity of 200.0 m/s for 2.25 hours at 155 degrees. what is the sub's resultant displacement vector?
= 3.98 m to the north, A novice golfer on the green takes three strokes to sink the ball. The successive displacements of the ball are d₁ d₂ = 2.06 m northeast, and d3 = 1.16 m at 30.0° west of south (see the figure below). Starting at the same initial point, an expert golfer could make the hole in what single displacement? magnitude direction WE S m o north of east d₂ d₁ 30.0° dz
9. The displacement vectors A T and B shown in Figure P3.9 both have of magnitudes 3.00 m. The direction of vec- 30.0°. Find gra- tor A is 0 phically (a) А+ В, (Ь) А - В (c) B- A, and (d) A – 2B (Report all angles counterclock- wise from the positivex axis.)