Vectores Ejercicios

Exercises




1. A fast boat is directed with a velocity of 13m/s 50° from West to North respect the water while it crosses a river with a current that flows at 5m/sdue East. There is also wind that blows at 15m/s 60° East of South. What is the velocity of the boat respect to the shore (Resultant velocity)? A: VR=(9.94m/s, 14.32° North ofEast)





2. During a test flight, a pilot followed the next instructions. First, he had to fly 40km due East, then 90km 20° East of North, then other 50km due Westand finally 60km 60° from East to South. What must be his final displacement to return to his initial position? A: D5=(60.35km, 32.71° South of West)



3. Three forcesact upon a box. The first force is of 16N at 45° respect to the positive x-axis. The second force is of 20N at -40° respect to the negative x-axis. If the resultant force is15.2N at -58° respect to the positive x-axis, what is the third force? A: F3=(38.97N, -71.97° respect to the positive x-axis)



4. A boat needs to keep a velocity of50km/h 75° West of South (resultant velocity) to reach its destiny. The water current flows at 36km/h 67° South of East. With what velocity must the captain direct the boat toobtain the necessary resultant velocity? A: V2=(65.55km/h, 17.95° North of West)



5. A golf player hits the golf ball three times to make a hole. With the first hit theball travels 18ft due North. With the second hit, the ball travels another 8ft in a direction of 60° from East to South. And after the third, it travels 3 ft due West. How faris the hole from the initial point and in which direction should he have hit the ball to make a hole in one? Give the answer in SI units. A: DR=(3.39m, 84.84° North of East)