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- A rescue boat is on their way to respond to a distress call. The distress call is located 25 km [E]. The boat has a speed in still water of 60.0 km/h. If the water current is flowing at 10.0 km/h [N35°E] a) Along what heading should the boat point? b) How long does it take to reach the distress call?A plane flies through wind that blows with a speed of 150 km/hr in the direction N 60° W. The plane has air speed of 500 km/hr and headed in the direction N 40° E. Determine the actual speed and direction of the plane.A ship is travelling due North at 27 mph. A current is flowing at a bearing of South 60 degrees West at 8 mph. Find the actual speed and direction of the boat.
- 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 ship is headed due north at a constant 22 miles per hour. Because of the ocean current, the true course of the ship is 15°. If the currents are a constant 20 miles per hour, in what direction are the currents running?A ship is on course for The Netherlands, heading North at 7.00 m/s. The ocean current is moving at 1.50 m/s in a direction of 40.0 degrees NE. What is the resultant velocity of the ship, and it's resultant direction?
- In the 2016 Olympics in Rio, after the 50 m freestyle competition, a problem with the pool was found. In lane 1 there was a gentle 1.2 cm/s current flowing in the direction that the swimmers were going, while in lane 8 there was a current of the same speed but directed opposite to the swimmers’ direction. Suppose a swimmer could swim the 50 m in 25.0 s in the absence of any current. How would the time it took the swimmer to swim 50.0 mm change in lane 1?A ship capable of making a speed of 12 knots through still water is to maintain a true course due west while encountering a 2.4-knot current running from north to south. What should be the heading of the ship (measured clockwise from the north)? How long t does it take the ship to proceed 27 nautical miles due west? Answers: 0 = t = i i O hrA 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.
- The speedboat B is cruising to the north at 83 mi/hr when it encounters an eastward current of speed vc = 20 mi/hr but does not change its heading (relative to the water). Determine the subsequent velocity of the boat relative to the wind and express your result as a magnitude vrel and compass direction e measured clockwise from north. The current affects the motion of the boat; the southwesterly wind of speed vw = 23 mi/hr does not. 34 B Uw Answers: Vrel = i mi/hr iAn airplane is traveling due east at speed of 700 mph. The wind is blowing at a speed of 80 mph at an angle of S 63 E. What is the resultant speed and direction of the plane?A diver explores a shallow reef off the coast of Belize. She initially swims 90.0 m north, makes a turn to the east and continues for 200.0 m, then follows a big grouper for 80.0 m in the direction 30 north of east. In the meantime, a local current displaces her by 150.0 m south. Assuming the current is no longer present, in what direction and how far should she now swim to come back to the point where she started?