A swimmer headsheads directly across a river, swimming at 1.32 m/s relative to the water. She arrives at a point 41.0 m downstream from the point directly across the river, which is 67.9 m wide. What is the speed of the river current? Problem 3-56b: What is the swimmer's speed relative to the shore? Problem 3-56c: In what direction should the swimmer head in order to arrive at the point directly opposite her starting point? Give your answer as the angle relative to the direction directly across the river.?

A small ship capable of making a speed of 6.5 knots through still water maintains a heading due east while being set to the south by an ocean current. The actual course of the boat is from A to B, a distance of 8.3 nautical miles that requires exactly 1.6 hours. Determine the speed v. of the current and its direction 0 measured clockwise from the north. N(0°) A -E(90°) 11 Answers: Vc = i knots i

Susan is an airline pilot flying from one city to another city 1357 km away due east. Her airplane is capable of flying 590 km/h in still air. In the absence of wind, she would simply aim her airplane due east and arrive at her destination 2.30 h later (a very simple Chapter 2 question). Unfortunately for her (and for you), there is a cross-wind (due north or due south -- you need to figure out which direction) which remains constant througout her trip. To account for the wind, she aims the airplane in the direction 27.0° south of east. City #1 City #2 Draw a vector diagram showing how the velocities of the plane relative to the air (õpA), а. plane relative to the ground (õpg), and air relative to the ground (VAG) are related to one another. The following should be obvious from your diagram: (1) the direction of each velocity vector, and (2) which two velocities add up to the third. b. Calculate the wind speed. C. How long does it take for Susan to reach her destination?

The engine of a boat drives it across a river that is 1800 m wide. The velocity vBW of the boat relative to the water is 4.0 m/s, directed perpendicular to the current (flowing east). The velocity vWS of the water relative to the shore is 2.0 m/s.  What is the velocity vBS of the boat relative to the shore? (Note: velocity is vector so it has both magnitude and direction!) How long does it take for the boat to cross the river?