A sailboat sails from Marblehead Harbor directly east for 45 nautical miles, then 60 degree south of east for 20 nautical miles, returns to an easterly heading for 30 nautical miles, and sails 30 degree east of north for 10 nautical miles, then west for 62 nautical miles. At that time the boat becomes becalmed and the auxiliary engine fails to start. The crew decides to notify the Coast Guard of their position. What is their

A sailboat sails from Marblehead Harbor directly east for 45 nautical miles, then 60 degree south of east for 20 nautical miles, returns to an easterly heading for 30 nautical miles, and sails 30 degree east of north for 10 nautical miles, then west for 62 nautical miles. At that time the boat becomes becalmed and the auxiliary engine fails to start. The crew decides to notify the Coast Guard of their position. What is their

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 31P: In an attempt to escape a desert island, a castaway builds a raft and sets out to sea. The wind...

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A radar station sends a signal to a ship which is located a distance 13.8 kilometers from the station at bearing 136° clockwise from the north. At the same moment, a helicopter is at a horizontal range of 19.6 kilometers, at bearing 146° clockwise from the north, with an elevation of 2.56 kilometers. Let east be the î direction, north be the ĵ direction, and up be the direction. a) What If? The ship begins to sink at a rate of 5.50 m/s. Write the position vector (in km) of the ship relative to the helicopter as a function of time as the ship sinks. Assume that the helicopter remains hovering at its initial position and that the sinking rate remains the same even after the ship sinks under the surface.
ere to search The Lost Drone. You and your team are exploring the edge of an Antarctic mountain range and you send a drone ahead to help navigate. After takeoff you lose sight of the drone and, a few seconds later, the controls malfunction and the drone stops sending visual images and navigational information except for speed and directional data. Changing speeds erratically, the drone heads west until it makes a drastic turn at the 5-minute mark to ß-35° east of south. After nearly ten minutes, the speed drops to zero and the drone stops sending data. It has crashed. Using the speed/directional data, the team draws up the graph shown below. (a) How far is the drone from you? (b) In what direction must you go to retrieve it? Express your result as a geographical direction west of south. 20 Ri Velocity v (m/s) 15 10 E 100 WEST 200 300 Bo East of South 400 500 -71 E 600 *** 34°F Clear S 6:21 1/21/
A cruise ship maintains a speed of 16 knots (nautical miles per hour) sailing from San Juan to Barbados, a distance of 600 nautical miles. To avoid a tropical storm, the captain heads out of San Juan at a direction of 24° off a direct heading to Barbados. The captain maintains the 16-knot speed for 8 hours, after which time the path to Barbados becomes clear of storms. (a) Through what angle should the captain turn to head directly to Barbados?
A ship travels on a N 50° E course. The ship travels until it is due north of a port which is 10 nautical miles due east of the port from which the ship originated. How far did the ship travel?
A sailboat moving in the direction shown is tacking to windward against a north wind. The log registers a hull speed of 6.7 knots. A "telltale" (light string tied to the rigging) indicates that the direction of the apparent wind is 33° from the centerline of the boat. What is the true wind velocity vw? 6.7 knots 430 330 Vw knots Answer: vw = i
A ship leaves a dock at 13 mph. After an hour, it is seen from a lighthouse 12 miles east of the dock to bear N 12°30' W. How far was it from the lighthouse? What is its bearing from the dock?
1) Leaving camp, a hiker walks 5.00 km in a direction 40.0° N of W, then an additional 10.0 km at 25.0° E of N. What third leg of the trip (both magnitude and direction) is needed to bring the hiker back to camp?
Ship A is located 3.5 km north and 2.4 km east of ship B. Ship A has a velocity of 24 km/h toward the south, and ship B has a velocity of 37 km/h in a direction 31° north of east. Should the ship Captains be worried? Choose your coordinates so that north is the positive y-direction and east is the positive z-direction. a. At what time (in hours) the ships are at closest proximity to each other? b. What is the distance (in km) between the ships when they are the closest? x
A helicopter makes a forced landing at sea. The last radio signal received at station C gives the bearing of the helicopter from C as N 57.5° E at an altitude of a = 439 feet. An observer at C sights the helicopter and gives ∠DCB as 13.7°. How far will a rescue boat at A have to travel to reach any survivors at B? (See the figure below. Round your answer to the nearest 10ft.)ft?
A ship leaves its home port expecting to travel to a port 500 km due south. Before it can move, a severe storm comes up and blows the ship 100 km due east. How far is the ship from its destination? In what direction must the ship travel to reach its destination?
A fishing boat in the ocean is moving at a speed of 23.0 km/h and heading in a direction of 40.0° east of north. A lighthouse spots the fishing boat at a distance of 22.0 km from the lighthouse and in a direction of 15.0⁰ east of north. At the moment the fishing boat is spotted, a speedboat launches from a dock adjacent to the lighthouse. The speedboat travels at a speed of 42.0 km/h and heads in a straight line such that it will intercept the fishing boat. (a) How much time, in minutes, does the speedboat take to travel from the dock to the point where it intercepts the fishing boat? min (b) In what direction does the speedboat travel? Express the direction as a compass bearing with respect to due north. ° east of north
A jetliner is moving at a speed of 245 m/s. The vertical component of the plane's velocity is 40.6 m/s. Given sin e = 0.165, the angle theta is equal to: Select one: O e = 10.0° e = 9.5° e = 11.5° e = 11.0° O O