A sailboat sets out from one point for a point 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. How far must the sailor now sail to reach the original destination? 406 km 103 km 305 km 507 km O 204 km

A sailboat sets out from one point for a point 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. How far must the sailor now sail to reach the original destination? 406 km 103 km 305 km 507 km O 204 km

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 4WUE: A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance...

See similar textbooks

Related questions

Q: A space shuttle’s coordinates as functions of time are given by x(t) = 7.0 t^3 and y(t) = 4.0t^2 -…

A: Coordinates of space shuttle are given: x - coordinate (x) = 7t3…

Q: Given A= 2i - 3j and B= 5i + 4j find the magnitude and direction of (A x B)

A: Answer Magnitude=23 Direction = k

Q: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: The condition given in the question is plotted as given diagram.

Q: An airplane travels at 4.5 x 10^2 km due east and then travels an unknown distance due north.…

A: Distance is the path covered in total journey.

Q: A hiker begins a trip by first walking 25.0 km 45.0° south of east from her base camp. On the second…

Q: An object travels along the vector d1 = 4m į + 5m j and then along the vector d2 = 2m į - 3m j. How…

Q: Vector A has a magnitude of 2.00 m and vector B has a magnitude of 5.00 m. If the direction of each…

Q: Starting from a location with position vector r1x = -16.9 m and r1.y = 26.5 m, a rabbit hops around…

Q: a tourist strolling around the city walk 1.72 km north, 1.55 km west, then 2.86 km south. How far is…

A: Analyze the diagram of the given situation.

Q: A person walks 23.0° north of east for 3.40 km. How far due north and how far due east would she…

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.17. The plane…

A: Using the given figure- The displacement vector of the airplane from point O to A,…

Q: A hiker leaves his campsite and walks in a straight line for a distance of 1610 m at an angle of 30°…

Q: An airplane is flying in the direction 53° west of north at 725 km/hr. Find the component form of…

A: flying direction, θ=53o West of Northmagnitude of velocity, v=725 km/hr

Q: An unidentified naval vessel is tracked by the Navistar Global Positioning System. With respect to a…

A: SOlution: Given that x1 = 2 km west y1 = 1.6 km south t1 = 0.3 h x2 = 6.4 km west y2 = 6.5 km north…

Q: A commuter airplane starts from an airport and takes theroute shown in Figure P1.71. The plane first…

A: The location of the cities is depicted below:

Q: A person walks 15.0° north of east for 3.60 km. How far due north and how far due east would she…

Q: A car starts at the origin and travels 5 km to the north, then 3 km to the west, then 4 km to the…

Q: You walk 55 m to the north, then turn 60° to your right and walk another 45 m. How far are you from…

Q: Which equation would give the x-component of Vector A with a magnitude of 76.50 m, 75° South of…

A: x component of a vector = A cosθ

Q: Three short flights takes an airplane to its final destination which is a city 500 km due 70^o south…

A: Given data- An airplane takes three short flight to its final destination which is a city 500 km due…

Q: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind…

A: d1→ = 2.50 km (-cos45oi^ + sin45oj^)d1→ = -1.767i^ + 1.767j^ km d2→ = 4.70 km (+cos60oi^ -…

Q: If you walk 38 steps at an angle of 76 (relative to the positive x-axis) and then turn and go 45…

A: Displacement is the shortest distance between two pointsIf an object moves from position r1 →to r2…

Q: A person walks 33.0° north of east for 2.30 km. How far due north and how far due east would she…

A: In the picture, AB = 2.30 km He has to travel AC along east and BC along north

Q: In a forest, control point B is 4.00 km east of control point A. Starting from point A, a ranger…

Q: 19.An escaped convict name Baby Ama runs 1.70 km due east of the prison. He then runs 1.83 km due…

A: Let us consider the convict runs x km due East (along x-direction) and then runs y km due North…

Q: A car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate…

A: Vectors: A vector is quantity which has both magnitude and direction.Magnitude defines the size of…

Q: Using the standard cartesian coordinate system, which of the following vectors have a POSITIVE…

A: To find which of the given vectors have positive x component

Q: Problem IVOOI To reach a picnic basket, an ant walks from his hill located at 4.00 m, 52.0° North of…

A: Draw the position diagram of the ant and the basket.

Q: The Ferris wheel revolves once every two minutes. It has a radius of 60 ft and its center is located…

A: Given, The Ferris wheel revolves once every two minutes. The Ferris wheel has a radius of 60 ft and…

Q: As a test of orienteering skill, your physics class holds a contest in a large, open field. Each…

Q: Which of the following equations would give the y-component of vector W with magnitude of 981N,…

A: Y component of a vector = A sinθ

Q: An object is moving in space with an acceleration a(t) = -t i+3 j+(t – 3) k. SUTM Find the velocity…

A: Given a(t)→ = -ti^ + 3j^ + (t-3)k^ to find the velocity vector v(t) we have to integrate the…

Q: A car drives around a circular track of diameter 161 m at a constant speed of 40.8 m/s. During the…

A: "Since you have asked multiple question, as per our guidelines we will solve the first question for…

Q: "Jojo is riding a boat to travel across a river whose current has velocity of 1.20 m/s westward. If…

A: Given data: Velocity of the river (vr) = 1.20 m/s, westward Velocity of the boat (vb) = 1.85 m/s

Q: A man goes 20m due west and then 15m due north . How far is he from the starting point.

Q: An airplane flies 200 km due west from city A to city B and then 300 km in the direction of 30.0°…

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

Q: In the sport of orienteering, participants must plan carefully to get from one checkpoint to another…

Q: A canon was launched with an initial speed of 104 m/s at an angle of 41.1° above the horizontal. The…

A: A canon was launched with an initial speed of u=104 m/s at an angle of 41.1° above the horizontal.…

Q: A commuter airplane starts from an airport and takes the route shown in Figure P3.19. The plane…

Q: The pilot of a private plane flies 20.0 km in direction 60° north of east, then 30.0 km straight…

A: Consider the figure,

Q: A boat is sailing due east parallel to the shoreline at a speed of 11 miles per hour. At a given…

A: This question is based on motion in a plane and basic trigonometry. We need to use the trigonometric…

Q: A car travels 12km due west, 15km due south and 45 km in a direction 50° north of east. Calculate…

A: Suppose given that Vector is R and it makes angle with +x-axis, then it's components are given by:…

Q: Using the component method determine the resultant(magnitude and direction) of the following: B = 20…

Q: A snowmobile is originally at the point with position vector 30.5 m at 95.0° counterclockwise from…

A: Write down the given values using suitable variables. Here r signifies initial position vector, u…

Q: A boy named Jose walks westward for 5 km and then northward for 5 km and then 5 km southwest. If he…

Q: A car drives around a circular track of diameter 83 m at a constant speed of 37.3 m/s. During the…

A: Given : Diameter = 83 m then, radius =83/2 m Constant speed = 37.3 m/s

Q: Three vectors, of magnitudes 10 mm, 15 mm and 50 mm, are added together. Which one of the following…

A: When two vectors A and B of magnitude a and b are added then the magnitude of the resultant vector…

Q: A car starts from the origin and travels 7.23 m in the direction 42.74 degrees south of west. Then…

Q: Q3:(20 marks) The pilot of a private plane flies 20.0 km in a direction 60° north of east then 0.3km…

A: Answer:- x = 20 Cos(60)0 = 20 × (1/2) = 10 km y = 20 Sin (60)0 = 20 × (✓3 /2) = 10(✓3) = 10…

Concept explainers

Scalars and Vectors

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

Question

A sailboat sets out from one point for a point 90.0 km due north. The sailor, however, ends
up 50.0 km due east of the starting point. How far must the sailor now sail to reach the
original destination?
406 km
O 103 km
305 km
507 km
O 204 km

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 3

VIEW

Step by step

Solved in 3 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

You fly 32.0 km in a straight line in still air in the direction 35.0° south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0° south of west and then in a direction 45.0° west of north. These are the components of the displacement along a different set of axes—one rotated 450°.
Find the horizontal and vertical components of the 100-m displacement of a superhero who flies from the top of a tall building following the path shown in Figure P1.40. Figure P1.40
A commuter airplane starts from an airport and takes the route shown in Figure P1.71. The plane first flies to city A, located 175 km away in a direction 30.0 north of east. Next, it flies for 150. km 20.0 west of north, to city B. Finally, the plane flies 190. km due west, to city C. Find the location of city C relative to the location of the starting point. Figure P1.71
Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28
As she picks up her riders, a bus driver traverses four successive displacements represented by the expression (6.30 b)i (4.00 b cos 40)i (4.00 b sin 40)j + (3.00 b cos 50)i (3.00 b sin 50)j (5.00 b)j Here b represents one city block, a convenient unit of distance of uniform size; i is east; and j is north. The displacements at 40 and 50 represent travel on roadways in the city that are at these angles to the main east-west and north-south streets, (a) Draw a map of the successive displacements, (b) What total distance did she travel? (c) Compute the magnitude and direction of her total displacement. The logical structure of this problem and of several problems in later chapters was suggested by Alan Van Heuvelen and David Maloney, American Journal of Physics 67(3) 252-256, March 1999.
A hiker walks from (x1, y1) = (4.00 km. 3.00 km) to (x2, y2) = (3.00 km, 6.00 km), (a) What distance has the traveled? (b) The hiker desires to return to his starting point. In what direction should he go? (Give the angle with respect to due cast.) (See Sections 3.2 and 3.3.)
Figure OQ3.3 shows a birds-eye view of a car going around a highway curve. As the car moves from point 1 to point 2, its speed doubles. Which of the vectors (a) through (e) shows the direction of the cars average acceleration between these two points?
Figure OQ1.13 shows two vectors D1 and D2. Which of the possibilities (a) through (d) is the vector D22D1, or (e) is it none of them? Figure OQ1.13
In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.50 km 45.0° north of west; then 4.70 km 60.0° south of east; then 1.30 km 25.0° south of west; then 5.10 km straight east; then 1.70 km 5.00° east of north; then 7.20 km 55.0° south of west; and finally 2.80 km 10.0° north of east. What is his final position relative to the island?
Starting at the origin, a person walks 350 meters in a direction 30.0° South of West, then 570 meters in a direction 35.0° West of North. If the person now wishes to walk in a straight line back to the origin, what must be the magnitude and direction of the displacement?
An airplane flies 59 km at 30.0° east of north before turning to go 58 km due south and then finally, it flies 100 km at 30.0° north of west. How far is the plane from its starting point?
A person in a rowboat is 3 km from a point P on a straight shore while his destination is 5m directly east of point P. If he is able to row 4 km per hour and walk 5 km per hour, how far from his destination must he land on the shore in order to reach his destination in the shortest possible?