Concept explainers
You are participating in a summer internship with the Coast Guard. You have been assigned the duty of determining the direction in which a Coast Guard speedboat should travel to intercept unidentified vessels. One day, the radar operator detects an unidentified vessel at a distance of 20.0 km from the radar installation in the direction 15.0° east of north. The vessel is traveling at 26.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat, which travels at 50.0 km/h, to travel in a straight line from the radar installation to intercept and investigate the vessel, and asks you for the heading for the speedboat to take. Express the direction as a compass bearing with respect to due north.
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Chapter 4 Solutions
PHYSICS:F/SCI.+ENGRS.,V.1
- You go on a hike with some friends. First, you travel 1.7 miles in a direction due west. Then, you spend some time checking Twitter and not paying attention to where you're walking. Once you look back up from your phone, you are at a ranger station that is 2.1 miles in a direction 27 degrees west of north from your starting point. How far, and in what direction, did you travel while checking Twitter?arrow_forwardA sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 77.0 km due north. The sailor, however, ends up 42.0 km due east of the starting point. (a) How far and (b) in what direction (west of due north) must the sailor now sail to reach the original destination?arrow_forwardAn explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5. 1 km, but when the snow clears, he discovers that he actually traveled 8.0 km at 48° north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp?arrow_forward
- An airplane takes off from Masipag runway which has a bearing of N 28° E. After flying for 3 miles, the pilot turns 90° and heads toward the northwest. After the plane goes 4 miles in this direction, what bearing has the plane from the terminal?arrow_forwardA sailboat sets out from the U.S. side of Lake Erie for a point on the Canadian side, 90.0 km due north. The sailor, however, ends up 50.0 km due east of the starting point. (a) How far and (b) in what direction must the sailor now sail to reach the original destination?arrow_forwardAs it passes Grand Bahamas Islands, the eye of the hurricane Katrina is moving in a direction of 60 0 north of west at a speed of 50 kph. Three hours later, it shifts due north where its speed slows to 25 kph. How far from the Grand Bahamas is the eye of the hurricane 4.5 hrs. after it passes over the island?arrow_forward
- 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?arrow_forwardA Coast Guard cutter detects an unidentified ship at a distance of 19.0 km in the direction 15.0° east of north. The ship is traveling at 24.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel.(a) If the speedboat travels at 42.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north. b) Find the time required for the cutter to intercept the ship.arrow_forwardA plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes direction to fly 230 km at 36.0° south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane? (With precise solution please) A. 351km with a direction of south B. 351km with a direction of 11.8 degrees south of west C. 351km with a direction of 11.8 degrees south of east D. 351km with a direction of eastarrow_forward
- A Coast Guard cutter detects an unidentified ship at a distance of 22.0 km in the direction 15.0° east of north. The ship is traveling at 29.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel. (a) If the speedboat travels at 58.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north. 9.2 X Your response differs from the correct answer by more than 10%. Double check your calculations.° east of north (b) Find the time required for the cutter to intercept the ship. 22.76 X Your response differs from the correct answer by more than 10%. Double check your calculations. minarrow_forwardA Coast Guard cutter detects an unidentified ship at a distance of 18.0 km in the direction 15.0° east of north. The ship is traveling at 28.0 km/h on a course at 40.0° east of north. The Coast Guard wishes to send a speedboat to intercept and investigate the vessel. (a) If the speedboat travels at 40.0 km/h, in what direction should it head? Express the direction as a compass bearing with respect to due north. ° east of north(b) Find the time required for the cutter to intercept the ship. ?minarrow_forwardA plane leaves the airport in Galisteo and flies 170 km at 68.0 east of north; then it changes direction to fly 230 km at 36.0 south of east, after which it makes an immediate emergency landing in a pasture. When the airport sends out a rescue crew, in which direction and how far should this crew fly to go directly to this plane?arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning