Two ships, A and B, leave port at the same time. Ship A travels northwest at 24 knots and ship B travels at 28 knots in a direction 37° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and (b) direction |(measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 170 nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180 degrees to 180 degrees. Round your angles to the nearest degree.) (a) Number Units knots 3.20 Units (b) Number ° (degrees) (c) Number Units Units (d) Number (degrees)

Two ships, A and B, leave port at the same time. Ship A travels northwest at 24 knots and ship B travels at 28 knots in a direction 37° west of south. (1 knot = 1 nautical mile per hour; see Appendix D.) What are (a) the magnitude (in knots) and (b) direction |(measured relative to east) of the velocity of ship A relative to B? (c) After how many hours will the ships be 170 nautical miles apart? (d) What will be the bearing of B (the direction of the position of B) relative to A at that time? (For your angles, takes east to be the positive x-direction, and north of east to be a positive angle. The angles are measured from -180 degrees to 180 degrees. Round your angles to the nearest degree.) (a) Number Units knots 3.20 Units (b) Number ° (degrees) (c) Number Units Units (d) Number (degrees)

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

Given A= 2i - 3j and B= 5i + 4j find the magnitude and direction of (A x B)
A plane that is capable of travelling at 140 m/s wishes to travel due north from City A to City B, 500 km away, but encounters a constant crosswind that blows 25 m/s due west. What must the plane’s heading be in order to reach its destination? Suppose the pilot has no navigational expertise and decides to aim straight for City B. How far west of City B will the plane end up?
A person in a rowboat is 3 km from a point P on a straight shore while his destination is 5m directly east of point P. If he is able to row 4 km per hour and walk 5 km per hour, how far from his destination must he land on the shore in order to reach his destination in the shortest possible?
A field biologist is studying the migration patterns of northern gannets (a type of seabird). On one particularday, she records that they fly 5.0 km northeast, then turn toward to the south of east by 30 degrees and fly 4.0 kmin the new direction. How far north or south of their original position are the birds?
A passenger walks from one side of a ferry to the other as it approaches a dock. If the passenger's velocity is 1.5 m/s due north relative to the ferry, and 4.5 m/s at an angle of 30 degrees west of north relative to the water, what are the magnitude and direction of the ferry's velocity relative to the water?
A velocity vector, with magnitude v= 50.8m/s , is directed vertically upwards. The coordinate axes are chosen such that the x axis is rotated clockwise by an angle θ= 45.6∘ below the horizontal, as shown. What is the x component, in meters per second, of the velocity vector, v→? What is the y component, in meters per second, of the velocity vector, v→?
Starting at the origin, a person walks 350 meters in a direction 30.0° South of West, then 570 meters in a direction 35.0° West of North. If the person now wishes to walk in a straight line back to the origin, what must be the magnitude and direction of the displacement?
. Given 4 vectors with magnitude of 200 for V1, 200 for V2, and 150 for V3 and 100 for V4. V1 has an inclination of 30*NE, V2 is 37* SE, V3 0*W and V4 is 45*NW. What is the resultant and its direction?
What is the magnitude and direction of the resultant of these vectors: 100N due south and 100N 30˚ north of west (A)100N northeast (B) 100N at 60˚ North of east (C) 100N at 30˚ South of west (D)100N at 40˚North of east
Ship A is sailing due south at 16 mi/h, and ship B, 32 miles south of A, is sailing due east at 12 mi/h. At what rate are they approaching or separating (a) at the end of 1 h, and (b) at the end of 2 h?
what is the resultant magnitude and directions? Given the vectors A= 6i + 9j, B = -9i + 9j, and C= 15i - 10j
A wildlife researcher is tracking a flock of geese. The geese fly 4.5 kmkm due west, then turn toward the north by 30 ∘∘ and fly another 5.0 kmkm . How far west are they of their initial position? What is the magnitude of their displacement?