A ferryboat is traveling in a direction 42.0 ° north of east with a speed of 6.20 m/s relative to the water. A passenger is walking with a veiocity of 2.60 m/s due east relative to the boat. What is (a) the magnitude and (b) the direction of the velocity of the passenger with respect to the water? Give the directional angle relative to due east. (a) Number Units (b) Number Units

You are lost at night in a large, open field. Your GPS tells you that you are 100 m from your truck, in a direction 50.0o west of south. You walk 50.0 m due west along a ditch.  How much farther must you walk to reach your truck?

A plane with a speed relative to still air of 78.5m/s is heading due south. After one hour an observer on the ground below sees that the plan has only traveled 255 km, and that the plane is 25.0°to the westof a direct path south. (a) What is the magnitude of the wind velocity? (b) What is the angle of the wind velocity relative to due west?

At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 9.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 60.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?   What if? The receiver that catches the football travels 60.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?