1. A river has a current flowing with a velocity of 2.0 meters per second due east. A boat travels at 3.0 meters per second relative to the river and is headed due north. In the adjacent diagram, the vector starting at point P represents the velocity of the boat relative to the river water. The magnitude of the resultant velocity of the boat is 2. A river has a current flowing with a velocity of 2.0 meters per second due east. A boat travels at 3.0 meters per second relative to the river and is headed due north. In the adjacent diagram, the vector starting at point P represents the velocity of the boat relative to the river water. What is the direction of the resultant velocity relative to the south riverbank?
3. Two forces, a 60-newton force east and an 80-newton force north, act concurrently on an object located at point P, as shown in the diagram below. Determine the magnitude of the resultant force, R
4. Two forces, a 60-newton force east and an 80-newton force north, act concurrently on an object located at point P, as shown in the diagram below. Determine the measure of the angle, in degrees, between north and the resultant force, R.
5. A football is thrown at an angle of 30° above the horizontal. The magnitude of the horizontal component of the ball’s initial velocity is 13.0 meters per second. The magnitude of the vertical component of the ball’s initial velocity is 7.5 meters per second. [Neglect friction.] Calculate the time needed by the football to reach its highest point in the air.
6. The vector diagram below represents the horizontal component, FH, and the vertical component, FV, of a 24-newton force acting at 35° above the horizontal. What are the magnitudes of the horizontal and vertical components?
5.