A river flows due NORTH at 2.0 m/s, a boat makes a direct crossing the river (shortest distance) and maintain a constant speed of 5.0 m/s relative to the water.  If you are a captain of the boat, which direction would you steer the boat?                                                                                                                West of North (A) West of South (B)                East (C)

A bee flies east at a speed of 1.00 m/s relative to air. The wind has a speed of 5.0 km/hr with respect to Earth in the direction 25° west of south. How long will it take the bee to cross a field that is 500m wide? 18 min 16 min 6.3 min 20 min The bee can not cross the field.

Answer parts A and B

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?

John and Mary are skating at an ice rink. John skates at a constant speed of 7.1 m/s, with respect to the ice surface, directly south. Mary skates at a constant speed of 10.5 m/s in a direction of 31° west of south, with respect to the ice What are the magnitude and direction of Mary's velocity with respect to John? Give the magnitude in m/s, and give th direction as measured relative to due south. magnitude m/s direction o west of south

A boy decides to propose to his girlfriend in a hot air balloon. They are in the balloon, and it is moving 15 degrees south of east at a velocity 10 m/s relative to the air. When the balloon has a height of 90 m the boy is about to propose to but he drops the ring. The wind is also blowing to the east at 12 m/s relative to the ground. They now need to find the ring. a) What is the horizontal distance ( magnitude and direction) the ring lands on the ground from where it drops out of the balloon? b) What is the final velocity of the ring right before it hits the ground? c) Draw the vertical position vs time graph, velocity vs time graph, and acceleration vs time graph of the ring.

the captain of a small plane starts his journey by proceeding west. the speed of the plane with respect to still air is 130 km/h a sudden south wind starts to blow at a constant speed of 69.0 km/h.  as seen by people on the ground what is the angle made between the direction of motion of the plane with repect to the west?

A train at a constant 80.0 km/h moves east for 36.0 min, then in a direction 55.0° east of due north for 26.0 min, and then west for 46.0 min. What are the (a) magnitude and (b) angle (relative to east) of its average velocity during this trip?

An aircraft has to fly between two cities, one of which is 600.0 km north of the other. The pilot starts from the southern city and encounters a steady 100.0 km/h wind that blows from the northeast. The plane has a cruising speed of 284.0 km/h in still air. In what direction (relative to east) must the pilot head her plane? Enter the angle in degrees where positive indicates north of east and negative indicates south of east How long does the flight take? h