Suppose you walk 18.0 m straight west and then 25.0 m straight north. How far are you from your starting point, and what is the compass direction of a line connecting your starting point to your final position? (If you represent the two legs of the walk as vector displacements A and B, as in Figure 21, then this problem asks you to find their sum R = A + B.
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- A flagpole sits at the center of a playground. Initially, a child is located 8.50 m due north of the flagpole. Two minutes later, the child is 6.00 m away from the flagpole in the direction 37.0° south of east. The displacement of the child lies between which two cardinal directions? O South and west O North and east O North and west O South and eastGiven the two vectors A = ( 5.5i - 3j) and B = (-9i - 8j) determine the following: A. Vector C = A + B in vector notation, it's magnitude and its direction counterclockwise from the +x-axis. B. Vector D = A - B in Vector notation, it's magnitude and its direction counterclockwise from the +x-axis.A long distance commercial passenger plane flies North at 910 km/h. At the same time, there is wind of 30 km/h from the West. Use a scaled diagram, Pythagorean Theorem and trigonometry to answer the following . a) What is the magnitude of the resultant velocity? b) What is the direction of the resultant ( North, South, East, West, NE, NW, SE or SW). c). What is the angle of the resultant relative to due East? Round your answer to the nearest tenth.
- The two vectors A and B have the same magnitude are shown in the figure. In which case (or cases) vector A is not equal to vector B?You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 97.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 28° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B. 182.43 x m Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric relationships. eBookhow do i find the net displacement vector, magnitude and direction of it, if i am told a student walks 100m north, 500m west, 700m east and 300m south?
- A plane is coming into land at YVR its ground speed (horizontal speed measured relative to the ground) is 273 km/h. At the same time its vertical altitude is decreasing at 45.7km/h. 1. What is the magnitude of the plane velocity vector? 2. The direction the plane is traveling is 10 degrees south of west. Taking the y-axis as being due north and the x-axis as being due east and the z-axis straight up, what is the velocity vector of this plane in i, j, k notation?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)You are the navigator of a ship at sea. You receive radio signals from two transmitters A and B, which are 101.0 km apart, one due south of the other. The direction finder shows you that transmitter A is at a heading of 29° south of east from the ship, while transmitter B is due east. Calculate the distance between your ship and transmitter B. 113.84 x m Draw a sketch of the situation, showing the locations of the boat and the two transmitters. Use what you know about the angles and distances to apply trigonometric relationships. еВook