Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.58, then this problem asks you to find their sum R=A+B.)

Solve the following problem using analytical techniques: Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 3.58, then this problem asks you to find their sum R=A+B.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 35P

See similar textbooks

Similar questions

At one point in space, the direction of the electric field vector Is given In the Cartesian system by the unit vector . If the magnitude of the electric field vector is E=400.0V/m , what are the scalar components , and of the electric field vector at this point? What is the direction angle of the electric field vector at this point?
A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
A skater glides along a circular path of radius 5.00 m in clockwise direction. ‘When he coasts around one- half of the circle, starting from the west point, find (a) the magnitude of his displacement vector and (b) how far he actually skated. (c) What is the magnitude of his displacement vector when he skates all the way around the circle and comes back to the west point?
Solve the following problem using analytical techniques: Suppose you walk 18.5 m straight west and then 26.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum R = A + B. Give the direction in degrees north of west.)
Solve the following problem using analytical techniques: Suppose you walk 17.5 m straight west and then 25.5 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum R = A + B. Give the direction in degrees north of west.) magnitude direction B A R A+B=R m ° north of west W N S E
Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum R = A + B.) B A R Ө A+B=R X W N S How far, in meters, are you from your starting point? (Enter a number.) m E What is the compass direction of a line connecting your starting point to your final position measured in degrees west of north? (Enter a number.)
Proceeding from landmark A, a vehicle moves along city streets 10 km north, then 14.2 km northeast, and finally 2 km south, and arrives at landmark B. What is the distance traveled, and the magnitude of the displacement between the two landmarks? From the previous problem, what angle east of north does the displacement vector lie?
Solve the following problem using analytical techniques:Suppose you walk 18.0 m straight west and then 25.0 mstraight north. How far are you from your starting point, andwhat is the compass direction of a line connecting yourstarting point to your final position? (If you represent the twolegs of the walk as vector displacements A and B , then this problem asks you to find their sumR = A + B .)Note that you can also solve this graphically. Discuss why theanalytical technique for solving this problem is potentiallymore accurate than the graphical technique
Suppose you first walk A = 11.0 m in a direction 0₁ = 17° west of north and then B = 24.5 m in a direction 0₂ = 39.0° south of west. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem finds their sum R = A + B. Give the direction in degrees south of west.) distance direction A+B=R B 0₂ R m A YA W -0₁ ° south of west N S X E
Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum R = A + B.) YA B m A R Ꮎ A+B=R How far, in meters, are you from your starting point? X W N S E What is the compass direction of a line connecting your starting point to your final position measured in degrees west of north?
A commuter airplane starts from an airport and takes the route shown in Figure P3.17. 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. distance km angle o west of north y(km) 250 E B W E 200 20.0° b R 150 00 110° a S0.0 x (km) 50 100 150 200 Figure P3.17