A biker travelled 270.0 meters 42° N of E to point A, then 80.0 meters west to point B, and finally, 120.0 m northwest to reach point C. (a) How far and in what direction should he travel to go back to where he started? (Ans: 267.92 m, 82.32° S of W) (b) From the starting point, how far and in what direction should he go to reach point B in a straight line? (Ans: 217.25 m, 56.26° N of E)

A biker travelled 270.0 meters 42° N of E to point A, then 80.0 meters west to point B, and finally, 120.0 m northwest to reach point C. (a) How far and in what direction should he travel to go back to where he started? (Ans: 267.92 m, 82.32° S of W) (b) From the starting point, how far and in what direction should he go to reach point B in a straight line? (Ans: 217.25 m, 56.26° N of E)

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 71P: A commuter airplane starts from an airport and takes the route shown in Figure P1.71. The plane...

See similar textbooks

Similar questions

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.
The polar coordinates of a point are r = 5.50 m and = 240. What are the Cartesian coordinates of this point?
A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across from a tree on the opposite bank, the surveyor walks 100 m along the river to establish a baseline. She then sights across to the tree and reads that the angle from the baseline to the tree is 35 . How wide is the river?
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
Vector B is 5.0 cm long and vector A is 4.0 cm long. Find the angle between these two vectors when |A+B|=3.0cm and |AB|=3.0cm .
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
Vector A has x and y components of 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and 6.60 cm, respectively. If AB+3C=0, what are the components of C?
A person walks 30.0 north of east for 3.80km. How far due north and how far due east would she have to walk to arrive at the same location?
A duck swims 4 m northeast, 3 m 60 degrees, and 5 m at 20 degrees north of west. How far is the duck from where he started? What angle (with respect to east) would the duck need to travel to get back where he started?
You found a treasure map! It said, start at the well, go 100 m straight south, then 30 m, 40 degrees North of West, then 25 m straight east, and finally, 45 m, 75 degrees south of east. Using component method of vector addition, how far from the well and in what direction is the hidden treasure?
add the following vectors and determine the resultant. 6 m/s, 225 degrees and 2 m/s, 90 degrees
A dog in an open field runs 10.0 m east and then 30.0 m in a direction 55.0(degree) west of north. In what direction and how far must the dog then run up end up 10.0 m south of her original starting point? Please include a complete solution.