y B. 123° east 40° x 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 ŔA. The position vector ŔA 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 ŔB (the magnitude of ŔB 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.

y B. 123° east 40° x 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 ŔA. The position vector ŔA 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 ŔB (the magnitude of ŔB 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.

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 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Let C = A + B. Vector C has a length of 5.00 cm and points north. Vector A has length 2.30 cm and a direction of 58.0 degrees north of east. (Let north = +y and east= +x).a) Draw a vector addition diagram showing C = A + B and label all 3 vectors. Use a straight edge and draw them to scale in cm if possible (you can estimate the angle).b) What is the magnitude of vector B? c) What is the angle of B in degrees west of north? d) Let D = C x A (vector product of C and A). What is the magnitude and direction of vector D?e) What angle (in degrees) does vector E= 2.00i+ 4.00j-3.00k make with the +y axis?
Vector V is in standard position and makes an angle of 30 degree with the positive x-axis.Its magnitude is 18. Write V in component form ka, bl and in vector component formai + bj.
Vector A has a magnitude of 27.5 units and it points in a direction 320° counterclockwise from the positive x-axis. What are the x- and y-components of A? Answe is Ax = _ ans Ay = _.
Vector F1 = 625 N makes an angle of 270o when rotated counterclockwise from the +x axis. Vector F2 = 875 N makes a 120o angle from Vector F1 when rotated counterclockwise. What is the value for Rx?
A surveyor sights a target at C from points A and B, recording the angles shown. Determine the magnitudes of the position vectors a and b Ai a b 42.5° 63.8° 200 m B North A Fig. P1.36 East
Assuming the +x-axis is horizontal and points to the right, resolve the vectors given in the following figure to their scalar components and express them in vector component form. yA 1. 60° A = 10.4 30° 30° 20.2 6 D = 20.2 53 37° A = В - F = C = 12.4 B = 5.4
A pilot needs to fy to a destination 350 km north of his current position in 2.0 hours. An air traffic controller tells him that the wind velocity (as seen on the ground) is 27 km/h [E34 °S]. a) Sketch the overall vectors of the plane to the ground, the plane to the air and the air to the ground. Write the equation for the velocity of the plane relative to the ground with the appropriate subscripts. b) What is the minimum speed that the pilot would need to fly if there was no wind? c) Determine the heading of the plane (in what direction must the pilot fly to compensate for the wind?). Show your work. Label your vectors and label x and y components. d) Determine the speed of the plane with respect to air that the pilot would need to take in order to reach the desired destination on time.
The displacement vector from your house to the library is 590 mm long, pointing 25 ⁰⁰ north of east. What are the x-component (x-axis is directed from west to east) of this displacement vector? What are the y◆-component (y-axis is directed from south to north) of this displacement vector?
Object 1 is located at position (2,3)m. Object 2 is located at position (8,11)m. a) What is the displacement vector (Ar12) that points from the position of Object 1 to the position of Object 2? b) What is the magnitude of the displacement vector ( |712|)? (A: 10 m)
A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 80.0 m long and the next to be 105 m. These sides are represented as displacement vectors A from B in Figure 15. She then correctly calculates the length and orientation of the third side C. What is her result?
Vector C has a magnitude of 25.8 m and points in the -y- direction. Vectors A and B both have positive y-components, and make angles of a = 41.4° and ß = 26.7° with the positive and negative x-axis, respectively. If the vector sum A+B+C = 0, what are the magnitudes of A and B? |A| = |B| = m m B A Figure is not to scale.
In the given vectors: A.) Compute the X and Y components ( Tabular Form) B.) Determine the magnitude and diraction of the resultant ( use component method ) A= 30 km 20° North of East B= 10 km West C= 15 km nORTH