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?
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- A plane flies at a speed of 360 mph on a bearing of S45°E. Relative to the ground, the plane's speed is measured as 335 mph with a true bearing of S35°E. Round answers to the nearest whole unit.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 degreeeast 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 position?2. An airplane flying N30° W at 150 km/h encounters a wind blowing E5 N at 40 km/h. Determine the resultant ground velocity of the plane. Include a vector diagram in your solution.
- 10. When granny hit the daycare, her Tesla started skidding in a northward direction at 12 m/s. At the same time, Mikey was running away in an easterly direction at 2.0 m/s. Draw the corresponding velocity vectors. What was Mikey's velocity relative to granny? (Granny was still in the skidding Tesla.) Draw the vector and give the magnitude and angle. W -15 -10 + -5 A N 12 10 ∞ 6 4 -2 -4 -6 -8 -10 -12 -14 S 5 10 15 EA small ship capable of making a speed of 6.5 knots through still water maintains a heading due east while being set to the south by an ocean current. The actual course of the boat is from A to B, a distance of 8.3 nautical miles that requires exactly 1.6 hours. Determine the speed v. of the current and its direction 0 measured clockwise from the north. N(0°) A -E(90°) 11 Answers: Vc = i knots ib) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise is
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- How do i solve this?In the narration below, what is the direction of the resultant displacement of the student? Ā = 175 km 30° N of E B = 150 km 20° W of N C = 190 km due west A. Due west. B. 11.56° N of E. C. 21.45° N of W. D. 48.89° N of E. E. 68.55° N of W.2. Peter is a pilot. He needs to deliver emergency supplies to a location that is 1000km away, N 30° W from his air base. The speed of the plane is set to I 600km/h. The wind velocity is 40km/h at 050°. Determine (i) the direction of the plane (ii) the magnitude of the ground velocity and (iii) Will Peter be able to make the delivery within 2 hours? Justify your responds.