During an enrollment process, an MS student wandered inside the school campus. From the gate, he walked 150 m northward towards the office of the department. From there, he proceeds to the admission office 300 m, 5.00' south of east. He then moved 200 m, at 165 to the cashier to pay for his tuition. Lastly, he went to the Registrar's Office walking 125 m directed at 50' west of north. What is the magnitude and direction of the student's displacement from the school gate?

During an enrollment process, an MS student wandered inside the school campus. From the gate, he walked 150 m northward towards the office of the department. From there, he proceeds to the admission office 300 m, 5.00' south of east. He then moved 200 m, at 165 to the cashier to pay for his tuition. Lastly, he went to the Registrar's Office walking 125 m directed at 50' west of north. What is the magnitude and direction of the student's displacement from the school gate?

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 45P

See similar textbooks

Similar questions

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?
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
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 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?
If one of the two components of a vector is not zero, can the magnitude of the other vector component of this vector be zero?
Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?
Three displacement vectors of a croquet ball are shown in Figure P1.44, where |A|=20.0units, |B|=40.0units, and |C|=30.0units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P1.44
A trapper walks a 5.0-lan straight-line distance from her cabin to the lake, as shown in the following figure. Determine the east and north components of her displacement vector. How many more kilometers would she have to walk if she walked along the component displacements? What is her displacement vector?
A surveyor measures the distance across a straight river by the following method: starting directly across from a tree on the opposite bank, he walks x = 1.00 102 m along the riverbank to establish a baseline. Then he sights across to the tree. The angle from his baseline lo the tree is = 35.0 (Fig. P1.53). How wide is the river? Figure P1.53
Given two displacement vectors A=(3.00i-4.00j-4.00K)m and B=(2.00i+3.00j-7.00K)m , find the displacements and their magnitudes for (a) C=A+B and (b) D=2AB .
A pedestrian walks 6.0 km east and then 13.0 km north. Use a graphical method to find the pedestrian’s resultant displacement and geographic direction.
Express in unit-vector notation the following vectors, each of which has magnitude 17.0 cm. (a) Vector E is directed 27.0 counterclockwise from the positive x axis, (b) Vector F is directed 27.0 counterclockwise from the positive y axis, (c) Vector G is directed 27.0 clockwise from the negative y axis.