A vector with magnitude 5 points in a direction 190 degrees counterclockwise from the positive x axis. Write the vector in component form, and show your answers accurate to 3 decimal places.
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- Please make easy to readAn airplane is traveling due north at 600 mph. The wind is blowing southwest at 20 mph. The airplane's actual vector as measured from the ground will be given by Vg =Va+Vw What is the airplane's speed as measured from the ground? Round to the nearest mile per hour.The current in a river is pushing a boat in direction 24 degree north of east with a speed of 16 km/hr. The wind is pushing the same boat in a direction 81 degree south of east with a speed of 7 km/hr. Find the velocity vector of the boat's engine (relative to the water) if the boat actually moves due east at a speed of 50 km/hr relative to the ground. Find the engine speed to push the boat and its direction.
- Find the unit vector in the direction ofAt an air show, a jet has a trajectory following the curve y = 3x². When the jet is at the point (5, 75), it has a speed of 550 km/h. Determine the velocity vector at this point. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give your answer using component form or standard basis vectors.) velocity:A carousel with three rows of animals has an angular speed of six revolutions per minute The second row of animals is at a distance of 5 feet from the center. Find the linear speed of the second row of animals. Express your answer in terms of pie, and then round your answer to the nearest integer.