A jogger runs 63 meters in a direction 20 degrees east of north (A)and then 31 meters in a direction 35 degrees south of east(B). What is the total distance, in meters, covered by the jogger? note C is a resultant vector

A jogger runs 63 meters in a direction 20 degrees east of north (A)and then 31 meters in a direction 35 degrees south of east(B). What is the total distance, in meters, covered by the jogger? note C is a resultant vector

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

Similar questions

Let C = A + B. Vector C has a length of 5.00 cm and points north. Vector A has length 2.30 cm and a direction of 58.0 degrees north of east. (Let north = +y and east= +x).a) Draw a vector addition diagram showing C = A + B and label all 3 vectors. Use a straight edge and draw them to scale in cm if possible (you can estimate the angle).b) What is the magnitude of vector B? c) What is the angle of B in degrees west of north? d) Let D = C x A (vector product of C and A). What is the magnitude and direction of vector D?e) What angle (in degrees) does vector E= 2.00i+ 4.00j-3.00k make with the +y axis?
Each of the following vectors is given in terms of its x- and y-components. Find the magnitude of vector Ã and the angle it makes with respect to the positive x-axis, measured counterclockwise, when Ax = 4.00 and Ay = -4.00. A = Find the magnitude of vector B and the angle 0 it makes with respect to the positive x-axis, measured counterclockwise, when Bx = -3.00 and By = 3.00. B = 0A = C = ов = Find the magnitude of vector and the angle 0c it makes with respect to the positive x-axis, measured counterclockwise, when Cx = 0.00 and Cy = -2.00. 0c =
A vector A is added to B=6i-8j. The resultant vecor is in the positive x direction and has a magnitude equal to A. What is the magnitude of A?
Consider two vectors A and B. À = 11 + 13Ĵ and B = 14î - 16) Find the unit vector that points in the same direction as the vector A + 2B. Write the unit vector in the form 1 √ (U‚Î + U‚}) N = = U₁ =
A vector in the x-y plane has a magnitude of 46.53 and an x-component of 5.07. Find the angle (in degrees) it makes with the positive x-axis counterclockwise. Give the formula first then solve.
Borsalino wants to buy some ice cream in the nearest convenience store. He has to walk 5.3 meters, 12 degrees in the north of east direction to reach the doorstep of the convenience store. He then enters the store and walks straight to cashier, two meters due northwest. Let Á be the displacement vector with a magnitude of 5.3 meters directed 12 degrees in the north of east direction, and let B be the displacement vector with a magnitude of two meters due northwest. Express vectors Á and B in unit vector component form. À = + B - + The net displacement is given by the vector sum: :Ř=À +B. Ř- By Pythagorean theorem,the magnitude of the displacement is: |Ř = meters. The direction of the resultant displacement is: 0 = north of east.
What is the magnitude of the component vector Ax shown in the figure? What is the sign of the y component Ayof vector A shown in the figure?
During a walk through a park, a person wanders to look at three different gardens. The person makes three successive displacements as follows, 30 paces due north (vector A), 50 paces @ 15o south of east (vector B), and 40 paces due west (vector C). Using the head-to-tail method of vector addition make a rough sketch of the resultant displacement vector. Using the component method of vector addition, determine the magnitude (in paces) and direction of the resultant displacement vector. ________ @ __________
The displacement vector from your house to the library is 590 mm long, pointing 25 ⁰⁰ north of east. What are the x-component (x-axis is directed from west to east) of this displacement vector? What are the y◆-component (y-axis is directed from south to north) of this displacement vector?
A traveler is exploring an unfamiliar cave in the Northern Luzon. She follows a passage 180 m straight west, then 210 m in a direction 45° east of south, and then 280 m at 30° east of north. After a fourth unmeasured displacement, she finds herself back where she started. Draw the diagram following her path, then solve for the magnitude and direction of the fourth displacement. You may also try drawing a scale diagram of the given vectors using your ruler and protractor, then measure the fourth displacement to check your quantitative answer.
An ocean liner leaves New York City and travels 17.5 ° north of east for 111 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? N W S (a) Number i Units (b) Number i Units
Given Five vectors whose lengths and dirction – senses are as follows: Aa is 1.5inch long and 90 degrees, Aa2 is 1.25 inch long and 315 degrees, Aa3 is 2 incheslong and 0 degrees; Aa4 is 1.25 inch long and 225 degrees; Aa5 is 1.5 inch longand 45 degrees. Find the vector sum of the first four and subtract Aa5 from theresultant vector.