* Question Completion Status: Quèstion 4 Adam walks from Point P to Point Q. The curved part of his path is a semicircle. What is the magnitude of his displacement from point P to point Q? 10m 5 m O a. 31.4 Оb.25.7 Oc. 15 O d.5

* Question Completion Status: Quèstion 4 Adam walks from Point P to Point Q. The curved part of his path is a semicircle. What is the magnitude of his displacement from point P to point Q? 10m 5 m O a. 31.4 Оb.25.7 Oc. 15 O d.5

Name: * Question Completion Status:Quèstion 4Adam walks from Point P to Poi
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Description: * Question Completion Status:Quèstion 4Adam walks from Point P to Point Q. The curved part of his path is a semicircle. What is the magnitude of his displacement from point P to point Q?10m5 mO a. 31.4Оb.25.7Oc. 15O d.5

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 57P: Vector A is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in...

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A man in a maze makes three consecutive displacements. His first displacement is 8.00 m westward, and the second is 13.0 m northward. At the end of his third displacement he is back to where he started. Use the graphical method to find the magnitude and direction of his third displacement.
Problems 74 and 75 are paired. 74. N A classroom clock has a small magnifying glass embedded near the end of the minute hand. The magnifying glass may be modeled as a particle. Class begins at 7:55 and ends at 8:50. The length of the minute hand is 0.300 m. a. Find the average velocity of the magnifying glass at the end of the minute hand using the coordinate system shown in Figure P3.74. Give your answer in component form. b. Find the magnitude and direction of the average velocity. c. Find the average speed and in the CHECK and THINK step, compare to the average velocity.
Review. The biggest stuffed animal in the world is a snake 420 m long, constructed by Norwegian children. Suppose the snake is laid out in a park as shown in Figure P3.39, forming two straight sides of a 105 angle, with one side 240 m long. Olaf and Inge run a race they invent. Inge runs directly from the tail of the snake to its head, and Olaf starts from the same place at the same moment but runs along the snake. (a) If both children run steadily at 12.0 km/h. Inge reaches the head of the snake how much earlier than Olaf? (b) If Inge runs the race again at a constant speed of 12.0 km/h. at what constant speed must Olaf run to reach the end of the snake at the same time as Inge? Figure P3.39
A rectangular parallelepiped has dimensions a, b, and c as shown in Figure P3.45. (a) Obtain a vector expression for the face diagonal vector R1. (b) What is the magnitude of this vector? (c) Notice that R1,ck, and R2 make a right triangle. Obtain a vector expression for the body diagonal vector R2.
Three displacements are A = 200 m due south, R = 250 m due west, and C = 150 m at 30.0 east of north, (a) Construct a separate diagram for each of the following possible ways of adding these vectors: R1=A+B+C; R2 = B + C + A; R3 = C + B + A. (b) Explain what you can conclude from comparing the diagrams.
Figure P3.60 illustrates the difference in proportions between the male (m) and female (f) anatomies. The displacements d1m. and d1f from the bottom of the feet to the navel have magnitudes of 104 cm and 84.0 cm, respectively. The displacements d2m and d2f have magnitudes of 50.0 cm and 43.0 cm, respectively. (a) Find the vector sum of the displacements dd1 and dd2 in each case. (b) The male figure is 180 cm tall, the female 168 cm. Normalize the displacements of each figure to a common height of 200 cm and re-form the vector sums as in part (a). Then find the vector difference between the two sums. Figure P3.60
A hiker starts at his camp and moves the following distances while exploring his surroundings: 75.0 m north, 2.50 102 m east, 125 m at an angle 30.0 north of east, and 1.50 102 m south. (a) Find his resultant displacement from camp. (Take east as the positive x-direction and north as the positive y-direction.) (b) Would changes in the order in which the hiker makes the given displacements alter his final position? Explain.
Figure P3.40 shows a map of Grand Canyon National Park in Arizona. You need a ruler and protractor for this problem, a. Paul hikes from Cape Royale to Point Sublime. Find the magnitude and direction of his displacement, ignoring any difference in altitude between the two points, b. Lil hikes from Point Sublime to Cape Royale. Find the magnitude and direction of her displacement. Compare your answer with that of part (a).
Miguel, an Ultimate Frisbee player, is running three drills (Fig. P3.17). In the first drill. Miguel runs a distance d straight down the field and then makes a 90 turn to the right, running an additional distance d. In the second drill, Miguel runs a distance d straight down the field and makes a 95 turn to the right before running an additional distance d. In the final drill, Miguel runs a distance d straight down the field and makes an 85 turn to the right before running an additional distance d. a. In which case did Miguel end up farthest from his starting point? In which case did he end up closest to his starting point? b. In which case(s) does Miguel end up farther away from his starting point than distance d? c. At what angle will his distance away be exactly d?
Vector A is 3.00 units in length and points along the positive x-axis. Vector B is 4.00 units in length and points along the negative y-axis. Use graphical methods to find the magnitude and direction of the vectors (a) A + B and (b) A B.
An archer shoots an arrow at a 75.0 m distant target; the bull's-eye of the target is at same height as the release height of the arrow. (a) At what angle must the arrow be released to hit the bull's-eye if its initial speed is 35.0 m/s? In this part of the problem, explicitly show how you follow the steps involved in solving projectile motion problems. (b) There is a large tree halfway between the archer and the target with an overhanging horizontal branch 3.50 m above the release height of the arrow. Will the arrow go over or under the branch?
Two students air on a balcony a distance h above the street. One student throws a ball vertically down-ward at a speed v0; at the same time, the other student throws a ball vertically upward at the same speed. Answer the following symbolically in terms of v0, g, h, and t. (a) Write the kinematic equation for the y-coordinate of each ball, (b) Set the equations found in part (a) equal to height 0 and solve each for t symbolically using the quadratic formula. What is the difference in the two balls' time in the air? (c) Use the time-independent kinematics equation to find the velocity of each ball as it strikes the ground, (d) How far apart are the balls at a time t after they are released and before the strike the ground?