An airplane has an airspeed of 540 kilometers per hour bearing N45°E. The wind velocity is 30 kilometers per hou in the direction N30°W. Find the resultant vector representing the path of the plane relative to the ground. What i the ground speed of the plane? What is its direction? What is the actual ground speed of the aircraft? kilometers per hour (Round to the nearest tenth as needed.)
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- Can anyone answer this 5-part question?An engineer designs a roller coaster so that a car travels horizontally angle of 46.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-axis.) 202 ft, then climbs 137 ft at an angle of 31.0° above the horizontal. It then moves 137 ft at an magnitude ft direction ° counterclockwise from the +x-axisBilly Bob goes 10.0m North and then 15.5m West. Include a vector diagram of this trip and indicate how far Billy Bob has travelled, and in what direction (so many people messed the direction thingy up that I'm asking it again! Practice makes perfect!
- Asap likeVectors ?⃗ and ?⃗ lie in the ?? ‑plane. Vector ?⃗ has a magnitude of 18.1 and is at an angle of 160.5∘ counterclockwise from the +? ‑axis. Vector ?⃗ has a magnitude of 26.9 and is 195.3∘ from the +? ‑axis. Resolve ?⃗ and ?⃗ into components, and express using ??? unit vectors, ?⃗ =???+???+??? ?⃗ =???+???+??? where ??, ??, ?? and ??, ??, and ?? are the calculated values of the ? ‑, ? ‑, and ? ‑components of vectors ?⃗ and ?⃗ , respectively. Find the magnitude and unit vector for the cross product between ?⃗ and ?⃗ .Suppose you walk 18.0 m straight west and then 25.0 m straight north. (If you represent the two legs of the walk as vector displacements A and B, as in the figure below, then this problem asks you to find their sum R = A + B.) YA B m A R Ꮎ A+B=R How far, in meters, are you from your starting point? X W N S E What is the compass direction of a line connecting your starting point to your final position measured in degrees west of north?
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