Item 1 A radar station, located at the origin of xy plane, as shown in ( Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is R₁. The position vector R₁ has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is RB (the magnitude of RB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward. Figure esc B 1 123° 40° east- A 8: F2 < 1 of 1 80 F3 ▼ Part A 888 F4 Define the displacement of the airplane while the radar was tracking it: RBA = RB-RA. What are the components of RBA? Express RBA in terms of the unit vectors i and 3, in meters. ► View Available Hint(s) RBA = Submit Provide Feedback 195] ΑΣΦ S → X Incorrect; Try Again; 7 attempts remaining D Previous Answers FS MacBook Air F6 8. F7 ? m DII FB 1 ( F9 f F10 ( . C M Re

Item 1 A radar station, located at the origin of xy plane, as shown in ( Figure 1), detects an airplane coming straight at the station from the east. At first observation (point A), the position of the airplane relative to the origin is R₁. The position vector R₁ has a magnitude of 360 m and is located at exactly 40° above the horizon. The airplane is tracked for another 123° in the vertical east-west plane for 5.0 s, until it has passed directly over the station and reached point B. The position of point B relative to the origin is RB (the magnitude of RB is 880 m). The contact points are shown in the diagram, where the x axis represents the ground and the positive y direction is upward. Figure esc B 1 123° 40° east- A 8: F2 < 1 of 1 80 F3 ▼ Part A 888 F4 Define the displacement of the airplane while the radar was tracking it: RBA = RB-RA. What are the components of RBA? Express RBA in terms of the unit vectors i and 3, in meters. ► View Available Hint(s) RBA = Submit Provide Feedback 195] ΑΣΦ S → X Incorrect; Try Again; 7 attempts remaining D Previous Answers FS MacBook Air F6 8. F7 ? m DII FB 1 ( F9 f F10 ( . C M Re

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 33P: A trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following...

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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?
Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point? What is your displacement vector? What is the direction of your displacement? Assume the +x -axis is horizontal to the right.
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 .
Check your Understanding A blue fly lands on a sheet of graph paper a point located 10.0 cm to the right of its left edge and 8.0 cm above its bottom edge and walks slowly to a point located 5.0 cm from the left edge and 5.0 cm from the bottom edge. Choose the rectangular coordinate system with the origin at the lower left-side comet of the paper and find the displacement vector of the fly. Illustrate your solution by graphing.
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 trapper walks a 5.0-km straigt4ine distance from his cabin to the lake, as shown in the following figure. Use a graphical method (the parallelogram rule) to determine the trapper’s displacement directly to the east and displacement directly to the north that sum up to his resultant displacement vector. If the trapper walked only in directions east and north, zigzagging his way to the lake, how many kilometers would he have to walk to get to the lake?
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?
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?
In a total time of 3.0 minutes, a duck on a pond paddles 31 m [N33oE] and then paddlesanother 57 m [E28oS]. Solve for the displacement graphically (with a ruler andprotractor) and then answer the questions. The scale diagram should have a scale, labeled axes, correct vector length and directions, vectorlabels, appropriate significant digits based on your measuring device and final answer withmagnitude to correct sig figs, with unit and direction. Using the displacement you determined from your graph, what was the duck’s average velocityfor the trip? What total distance did the duck travel? What was the average speed of the duck for the whole trip?
kimming lai right-na ne lake, A saliboat is OSs a lad ke witrn a constant aCceler lon. ituation, we are using a systeri wi re the X2 plane is in plane positive y direction is vertically upward. All angles below are measured in the xz plane, counterclockwise from the positive x direction when view from above the lake (that is, from a point on the positive y axis). (Use a standard rectangular coordinate system where +x is to the right, +y is vertically upward, and +z is toward you. ) The sailboat's acceleration is 0.583 m/s2 at an angle of 210° for a 4.00 s time interval. At the start of this interval (noted as t = 0), it is moving with a velocity of 1.77 m/s at 30.0° and is at the position 29.7 m at 160°. Determine the following (in vector notation) for the sailboat at t = 4.00 s. (Express your answer in vector form.) (a) the position vector r(t = 4 s) (b) the velocity vector v(t = 4 s) = m/s (c) the acceleration vector a(t = 4 s) = m/s?
Sir Fabro Wants to subtract the position dis placement vectrs. The 2. magnitude of the two vectors 6= 30m at 240°. Deter mine A= 50m, 40° North of East the mag nitu de (R) of the resultant rectors are and difference (R= A- B) and the direction (O8) with the tx - axis
The vector À has "x" and "y" components of -8.70 cm and 15.0 res pectively; uector cm/ B has cx" and ca com ponents of 13.2 cm and - 6.60 cm, respectiuely.. If Ã -B t3 Z= A. What are the com ponents of C ?