A student takes a much needed break from her studies and wanders around in the Arnold Arboretum.First, the student travels through a displacementN (+y)== 400 m, directed 40.0° W of S.%3DThen the student undergoes a displacementD2= 800 m, directed 30.0° N of W.E (+x)%3DThus, the student undergoes a resultant displacement R=D, +D, ·In the following, assume that the +y direction is defined as due North andthat the +x direction is defined as due East, as shown in the figure.16. True or False: Displacement D, has a scalar x component equal to 306 m?A. True.B. False.17. Displacement D, has a y component-vector equal toA. 400 m.B. - 400 m.C. 693 m j.î .E. 400 m j.D. 693 m18. True or False: D1,x is positive while D2,x is negative?A. True.B. False.19. The student's resultant displacement R has a magnitude ofA. 1044 m.B. - 856 m.C. 955 m.D. 1200 m.E. 400 m.20. The student's resultant displacement is directedA. 5.63° N of W.B. 84.4° N of W.C. 5.63° S of W.D. 84.4° S of W.E. 84.4° S of E.

Answered: Image /qna-images/answer/09d04748-6e17-4332-8a1a-52b96ad995c6.jpg

Answered: A student takes a much needed break…

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter2: Vectors

Section: Chapter Questions

Problem 51P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

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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 .
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vi=(3.00i2.00j)m/s and is at the origin. At t = 3.00 s, the particles velocity is vf=(9.00i+7.00j)m/s. Find (a) the acceleration of the particle and (b) its coordinates at any time t.
What is the y component of the vector (3i8k) m/s? (a) 3 m/s (b) 8 m/s (c) 0 (d) 8 m/s (e) none of those answers
A fireman d = 50.0 m away from a burning building directs a stream of water from a ground-level fire hose at an angle of i = 30.0 above the horizontal as shown in Figure P3.18. If the speed of the stream as it leaves the hose is vi = 40.0 m/s, at what height will the stream of water strike the building? Figure P3.18
If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive, (c) negative, (d) of opposite sign.
Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
Consider the three displacement vectors A=(3i3j)m, B=(i4j)m, and C=(2i+5j)m. Use the component method to determine (a) the magnitude and direction of the vector D=A+B+C and (b) the magnitude and direction of E=AB+C.
A delivery man starts at the post office, drives 40 km north, then 20 km west, then 60 km northeast, and finally 50 km north to stop for lunch. Use the analytical method to determine the following: (a) Find his net displacement vector. (b) How far is the restaurant from the post office? (c) If he returns directly from the restaurant to the post office, what is his displacement vector on the return trip? (d) What Is his compass heading on the return trip? Assume the +x-axis is to the east.
A small plane flies at 200 km/h in still air. If the wind blows directly out of the west at 50 km/h, (a) in what direction must the pilot head her plane to move directly north across land and (b) how long does it take her to reach a point 300 km directly north of her starting point?
A snow-covered ski slope makes an angle of 35.0 with the horizontal. When a ski jumper plummets onto the hill, a parcel of splashed snow is thrown up to a maximum displacement of 1.50 m at 16.0 from the vertical in the uphill direction as shown in Figure P3.16. Find the components of its maximum displacement (a) parallel to the surface and (b) perpendicular to the surface. Figure P3.16
After a ball rolls off the edge of a horizontal table at time t = 0, its velocity as a function of time is given by v=1.2i9.8tj where v is in meters per second and t is in seconds. The balls displacement away from the edge of the table, during the time interval of 0.380 s for which the ball is in flight, is given by r=00.3803vdt To perform the integral, you can use the calculus theorem [A+Bf(x)]dx=Adx+Bf(x)dx You can think of the units and unit vectors as constants, represented by A and B. Perform the integration to calculate the displacement of the ball from the edge of the table at 0.380 s.
In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind shifts a great deal during the day, and she is blown along the following straight lines: 2.50 km and 45.0 north of west, then 4.70 km and 60.0 south of east, then 130 km and 25.0 of west, then 5.10 km due east, then 1.70 km and 5.00 east of north, then 7.20 km and 55.0 south of west, and finally 2.80 km and 10.0 north of east. Use the analytical method to find the resultant vector of all her displacement vectors. What is its magnitude and direction?

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