In the narration below, what is the direction of the resultant displacement of the student? * To reach the venue of an international conference in physics education, a physical-science-major student made the following displacements via plane: Å - 175 km, 30° N of E, B - 150 km, 20° W of N, C = 190 km, due west |3D

In the narration below, what is the direction of the resultant displacement of the student? * To reach the venue of an international conference in physics education, a physical-science-major student made the following displacements via plane: Å - 175 km, 30° N of E, B - 150 km, 20° W of N, C = 190 km, due west |3D

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter3: Vectors And Two-Dimensional Motion

Section: Chapter Questions

Problem 60AP: Figure P3.60 illustrates the difference in proportions between the male (m) and female (f)...

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Three displacement vectors of a croquet ball are shown in Figure P3.22, where A=20.0 units, B=40.0 units, and C=30.0 units. Find (a) the resultant in unit-vector notation and (b) the magnitude and direction of the resultant displacement. Figure P3.22
You drive 7.50 km in a straight line in a direction 15° east of north. (a) Find the distances you would have to drive straight east and then straight north to arrive at the same point. (This determination is equivalent to find the components of the displacement along the east and north directions.) (b) Show that you still arrive at the same point if the east and north legs are reversed in order.
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
Question text (a) In flying the 77 miles from Champaign to Peoria, a student pilot sets a heading that is 10° off course and maintains an average speed of 96 miles per hour. After 15 minutes, the instructor notices the course error and tells the student to correct his heading. Through what angle will the plane move to correct the heading? (b) How many miles away is Peoria when the plane turns?
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1. Find the resultant using (a) the head-to-tail method, and (b) the parallelogram method: A clever adventurer on a treasure hunt reads the following instructions from his map: Walk 347 m east of a large acacia tree, then 764 m at a direction 25° north of east, then 465 m in a southwesternly direction. Because he studied physics in college, he uses vector addition using graphical methods to make his search easier. According to his graphs, how far and in what direction should he walk to get directly to the treasure? 2.Find the magnitude and direction of the resultant for Number 1 by finding the components of each displacement, and then summing them up
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4. A hiker begins a trip by first walking 25.0 km 45.0° south of east from her base camp. On the seco magnitude nd day she walks 40.0 km in a direction 60.0° north of east, at which point she discovers a forest ranger’s tower. (a) Determine the components of the hiker’s displacements in the first and second days. (b) Determine the components of the hiker’s total displacement for the trip. (c) Find the magnitude and direction of the displacement from base camp.
While vacationing in the prairie you go on a nature walk. First you walk 160 m south, then a coyote chases you 260 m southwest, then you walk 300 m in a direction 40° east of north. First draw an accurate graphical representation of your motion using a ruler and a protractor. Then use either trigonometry or components to find the displacement (in m) that will return you to your starting point by the most direct route.