13. SCALARS AND VECTORS:Mario leaves his house and walks 8 km North then proceeds 6 km West. Determine Mario's final displacement.d2 = 6 km Westdi = 8 km North9 km 50° North of WestO 10 km, 53° North of WestO 10 km, 56° North of WestO 11 km, 58° North of West

Displacement is shortest distance between initial and final position.

Answered: CALARS AND VECTORS: ario leaves his…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 25PQ: Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the...

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Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?
Figure P3.28 illustrates typical proportions of male (m) and female (f) anatomies. The displacements d1m and d1f from the soles of the feet to the navel have magnitudes of 104 cm and 64.0 cm. respectively. The displacements d2m and d2f from the navel to outstretched fingertips have magnitudes of 100 cm and 86.0 cm, respectively. Find the vector sum of these displacements d3=d1+d2 for both people. Figure P3.28
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
Figure OQ4.1 shows a bird's-eye view of a car going around a highway curve. As the car moves from point 1 to point 2, its speed doubles. Which of the vectors (a) through (e) shows the direction of the cars average acceleration between these two points?
The rectangle shown in Figure P3.56 has sides parallel to the x and y axes. The position vectors of two corners are = 10.0 m at 50.0 and = 12.0 m at 30.0. (a) Find the perimeter of the rectangle. (b) Find the magnitude and direction of the vector from the origin to the upper-right corner of the rectangle.
A postman leaves the post office and drives 1.6 km in the north direction. He then drives in a direction 60.0° south of east for 5.9 km (see Figure) North 60° + East Post office What is his resultant displacement from the post office (in vector form)? O a. -3.51 mi+ 2.95 mj O b. 5.90 mi+ 1.60 mj O c. 2.95 mi+-3.51 mj O d.-1.35 mi+5.11 mj O e. None of the above
Q2. A drone is used to spray pesticide in a farm. It covers (d1=30 m) towards south. Then it flies (d2=40 m) in a direction 350 east of south, then by changing its direction it covers a distance of (d3=50m) in the direction 650 east of north and finally it covers a displacement (d4=65m) in a direction of 300 south of west. Calculate total displacement (d) covered by the drone and its direction.
An airplane undergoes the following displacements: First, it flies 59 kn in a direction 30° east of north. Next, it fies 58 kan due south. Finally, it flies 100 kum 30° north of west. Using analytical methods, determine how far the airplane ends up from its starting point. O A. 70.1 km O B. 74.4 km OC 71.5 km O D. 73 km O E. 68.7 km
A boy walks 4 m South and then walks 7 m at 35 degrees east of south. What is the boy's displacement? Be sure to include magnitude and direction.
Vector A has components ax= -3.0 m/s^2 and ay= +4.0 m/s^2 a. What is the magnitude and direction of vector A? b. What is the direction of vector A? Give an angle with respect to one of the coordinate axes
At the beginning of a 3.0-h plane trip, you are traveling due north at 192 km/h. At the end, you are traveling 239 km/h in the northwest direction (45° west of north). a. Which of the following are the initial and final velocity vectors? SEE ATTACHMENTS b. Find the magnitude of the change in velocity. anser in km/h c. Find the change in direction of your velocity. Enter the angle in degrees where negative indicates north of west and positive indicates south of west. answer in degrees d. What is the magnitude of your average acceleration during the trip? answer in km/h^2
A vector d has a magnitude 2.5 m and points north. What are the magnitudes and directions of the vectors -d d/2 -2.5d 4.0d

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CALARS AND VECTORS: ario leaves his house and walks 8 km North then proceeds 6 km West. Determine Mario's final displacement. d2 = 6 km West di = 8 km North