. A sailor in a small boat encounters shifting winds. She sails 8 km suth, then 15 km 30° E of N, and then 12 km 25° N of W. Use polygon method to determine the magnitude and direction of her resultant displacement. MA

. A sailor in a small boat encounters shifting winds. She sails 8 km suth, then 15 km 30° E of N, and then 12 km 25° N of W. Use polygon method to determine the magnitude and direction of her resultant displacement. MA

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 50PQ: An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225...

See similar textbooks

Related questions

Q: From the window of a building, a ball is tossed from a height Yo above the ground with an initial…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: An artillery shell is fired with an initial velocity of 300 m/s at 64.5° above the horizontal. To…

Q: From the window of a building, a ball is tossed from aheight y0 above the ground with an initial…

A: Initial velocity of the ball,

Q: The driver drives the car 60 km east, then 80 km south, then 100 km southwest and then 120 km 30…

Q: After flying for 15 min in a wind blowing 45 km/h at an angle of 22° south of east, an airplane…

Q: The basketball player likes to release his foul shots with an initial speed vo= 23.5 ft/sec. What…

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis…

A: If v is the initial velocity, θ is the projection angle, g is the acceleration due to gravity, the…

Q: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion Felis…

A: H = 11.1 ft = 3.38 m Angle of projection = 47.8 oUsing, equation of motion in Y direction Vy2 -…

Q: A jet airliner moving initially at 310 mi/h due East enters a region where the wind is blowing at…

A: GivenVjet =310 mi/h in x directionVair = 100 mi/h 34.0o north of east

Q: After flying for 16 min in a wind blowing 42 km/h at an angle of 20° south of east, north of the…

A: Let assume that the wind blowing with a velocity with respect to the groundvwg, the velocity of the…

Q: A plane is travelling from Portland to Seattle, which is 100 miles due north of Portland. There is a…

Q: h an initial velocity of magnitude 21.5 m/s and at an angle of 44.3° abo- nd (b) vertical components…

Q: A jet airliner, moving initially at 300mi/h to the east, suddenly enters a region where the wind is…

Q: 2. An automobile travels 60 km due east and then 50 km due north. Wh the magnitude of the resultant…

Q: ne the magnitude and direction (relati or distance and time, respectively. X km o north of west 5.35

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

Q: n the Superbowl, a quarterback throws a football while standing at the very center of the field on…

A: Consider the given data as below. Initial velocity, vo=40 i^+35 j^+32 k^ Assume upward as k^…

Q: Can you please answer this question and show the steps

A: (a) The velocity of speedboat is The distance travelled by the boat during 2 minutes is

Q: A strong wind blows to the west at a speed of 38.7 mi/h relative to the ground causing a commercial…

Q: 2. An airplane that is flying due east at 90km/h and is being blown due south at 50km/h. In what…

A: 2) In vector form actual velocity of plane V = 90i - 50 j So actual speed = √(902+502) = 102.96…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: Given: An artillery shell is fired with an initial velocity, v=290 ms at 57.0o above the horizontal.…

Q: *32. ao A jogger travels a route that has two parts. The first is a dis- placement A of 2.50 km due…

A: Draw the position diagram of the jogger as:

Q: e flies 493 km east from city A to city B in 45.0 min and the n south from city B to city Cin 1.30…

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: Mayan kings and many school sports teams are named for the puma, cougar, or mountain lion-Felis…

A: Here, 12ft=12ft×0.3048m1ft=3.6576m

Q: A jet airliner moving initially at 3.00 × 10² mi/h due east enters a region where the wind is…

A: Hey, since there are multiple subparts questions posted, we will answer first three questions. If…

Q: A whale comes to the surface to breathe, and then dives at an angle θ = 16.0° below the horizontal.…

A: Refer the figure below.

Q: 1. Gian walks 4 m East and then proceeds 3 m North. What is his final destination? 2. An airplane…

Q: 6 During a baseball practice session, the cutoff man A executes a throw to the third baseman B. If…

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

A: The free body diagram is shown below: The velocity of the salmon relative to the water is as…

Q: After flying for 15 min in a wind blowing 42 km/h at an angle of 25° south of east, an airplane…

A: GivenA wind blowing 42 km/h at an angle 25°south of east

Q: 2/186 A marathon participant R is running north at a speed uR = 10 mi/hr. A wind is blowing in the…

A: a) Draw the velocity diagram.

Q: ship sets sail from Rotterdam, The Netherlands, intending to head due north at 7.5 m/s relative to…

Q: (I) If Vx = 9.80 units and Vy the magnitude and direction of V. -6.40 units, determine

A: The resultant magnitude will be,

Q: What is the maximum height of a projectile shot at an angle of 45.1° with respect to the horizontal…

A: Initial speed (u) = 31.5 msLaunch angle (θ) = 45.1o

Q: A stunt car leaves a 15° upward ramp at 35 The car jumps over a ravine and lands on the other side…

A: Angle at which the stunt car leaves the ramp (θ) = 15o upwards Speed of car (u) = 35 msHeight (h) =…

Q: Practicel: As shown below, If D = A + B+C What is the magnitude and direction of D wiuh respect to…

A: “Since you have asked multiple question, we will solve the first question for you. If youbwant any…

Q: Calculate the resultant vector using component method. A 40 km, 20o w of N A, = 57 km, 15° N of E A=…

Q: To start an avalanche on a mountain slope, an artillery shell is fired with an initial velocity of…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A jet airliner moving initially at 3.80 ✕ 102 mi/h due east enters a region where the wind is…

A: Since the jet is moving only in the horizontal direction relative to air, the vertical component of…

Q: heads east 3 miles, turns and walks 1.5 miles north, and finally turns and walks 1.5 miles weat.…

A: Displacement is the shortest distance between initial and final point

Q: A flock of ducks is trying to migrate south for the winter, but they keep being blown off course by…

Q: Vector !A is in the direction 34.00 clockwise from the y-axis. The x-component of !A is Ax = -16.0m.…

A: The given data are: θ=34°Ax=-16 m

Q: .A man walks 2.5 km, 53 degrees I of E. Then he walks another Okm East. How far is the man rom the…

A: Resultant of two vectors can be determined by parallelogram law of vector the resultant of two…

Q: On a day when the wind is blowing toward the south at 3 m/s , a runner west at 1.9 m/s.wh s.what is…

A: Given : vy = -3 m/s (negative because of South direction) vx = -1.9 m/s (negative because of west…

Q: After flying for 15 min in a wind blowing 42 km/h at an angle of 20° south of east, an airplane…

A: The vector diagram,

Q: A=48N due West ,B=35N due North,C=50N N33°E, D=62N S 25.5° W ,E=70N W57°S find the Resultant of…

Concept explainers

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.

Question

5. A sailor in a small boat encounters shifting winds. She sails 8 km South, then 15 km 30° E
of N, and then 12 km 25° N of W. Use polygon method to determine the magnitude and
direction of her resultant displacement.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 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

Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?
A delivery man starts at the post office, chives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use a graphical method to find his net displacement vector.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day and he is blown along the following directions: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 1.30 km and 25.0 south of west, then 5.10 km straight east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use a graphical method to find the castaway’s final position relative to the island.
1. You are trying to find your family's hidden treasure by your ancestor using a map. The map says that starting from your house, first, you need to walk 3.00m, East. After that, you again walk 3.00m, 60O N of E. Then go 2.00m North. And finally move 4.00m, 300 S of W. If the treasure's location is the resultant vector. Find the magnitude and direction of the treasure. (Use component method)
2. A sailor in a small sailboat encounters shifting winds. She sails 2.00 km east, then 3.50 km 45° southeast, and then an additional distance in an unknown direction. Her final position is 5.80 km directly east of the starting point. Find the magnitude and direction of the third leg of the journey. Draw the vector addition diagram and solve analytically.
Please answer ASAP. 1.) To deliver food to a customer, Jungkook, the FoodPanda rider, drives 4.00 km north, then 6.00 km east, then 8.00 km in a direction 60.0° north of east. What is Jungkook’s net displacement? A.14.8 km, 42.5° north of east B.14.8 km, 47.5° north of east C.15.2 km, 31.7° north of east D.15.2 km, 58.3° north of east 2.) A cyclist is moving along a highway at 12 km/h and is heading north. He feels a wind blowing from the west to east at 5 km/h. What is the velocity of the cyclist relative to a stationary observer on the highway? A.12 km/h, north B.13 km/h, 67° north of east C.13 km/h, 67° north of west D.13 km/h, 23° north of west 3.) A 20.0-cm tall toy car is placed 60.0 cm in front of a converging mirror whose focal length is 30.0 cm. Which is the CORRECT description of the image formed? A.The image is upright, real, and 40. cm tall. B.The image is inverted, real, and 20.0 cm tall. C.The image is inverted, virtual, and 40. cm tall. D.The image is upright,…
5. A ball is thrown following a projectile motion, it is known that the horizontal distance (range) the ball can travel is given by R= sin 24, where r is the range (in feet), vy is the initial speed (in ft/s), B is the angle of elevation the bal is thrown, and g=32 ft/s? is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 8 (0< @ < 45°) is doubled. b. If a balt travels a horizontai distance of 20 t when kicked at an angle of a with initial speed of 20/2 fus, find the horizontal distance it can travel when you double z. Hint: use result of item (a).
2. An airplane flying N30° W at 150 km/h encounters a wind blowing E5 N at 40 km/h. Determine the resultant ground velocity of the plane. Include a vector diagram in your solution.
1. Hurricane Iota is considered the strongest hurricane in history to hit Nicaragua. As Iota passed over Nicaragua, the eye of the hurricane moved with a velocity of 235 km/h in a direction 35.0" south of east. The course of the hurricane then shifts direction, 25.5° north of east with a velocity of 249 km/h. Determine: a) The resultant velocity in unit vector notation, b) The magnitude of the resultant velocity, and c) The direction of the resultant velocity vector.
5. A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R = sin 20, where r is the range (in %3D feet), vo is the initial speed (in f/s), 0 is the angle of elevation the ball is thrown, and g=32 ft/s? is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 8 (0< 0 < 45°) is doubled. xiii b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of a with initial speed of 20V2 ft/s, find the horizontal distance it can travel when you double a. Hint: use result of item (a).
A displacement vector is 21 km in length and is directed 60 degrees S of E. Which of the following is TRUE? A. Its x- and y- components are 11 km and 10 km, respectively. B. Its x- and y- components are both 10 km. C. Its x- and y- components are 10 km and 11 km, respectively. D. Its x- and y- components are both 11 km.