An airplane with a speed of 40 km/h is heading 78º east of north with a wind blowing west at 18 km/h. What is the speed of the airplane relative to the ground?

Two cars approach each other at an intersection. Car A is traveling south at 30 m/s, while car B is traveling 70 degrees north of east at 50 m/s. What is the speed (in m/s) of car A as seen by the driver of car B?

A plane is headed due west with an air speed of 224 m/s. The wind blows south at 17.5 m/s. Find the velocity of the plane relative to the earth? Find the magnitude and the direction south of west?

A boat whos speed in still water is 5.0m/s headed west across a river. The river current is 2.5m/s south. If the river is 2395 wide, how long does it take the boat to cross the river.

A plane is headed due west with an air speed of 207 m/s. The wind blows south at 20.0 m/s. Find the velocity of the plane relative to the earth.To solve this problem it will be necessary to determine the plane's velocity relative to the the air. What is the plane's east-west velocity relative to the air? (Define the positive direction to be east.)Additionally, to solve this problem it will be necessary to determine the air's velocity relative to the earth. What is the air's north-south velocity relative to the earth? (Define the positive direction to be north.)

A sailboat sails from Marblehead Harbor directly east for 45 nautical miles, then 60 degree south of east for 20 nautical miles, returns to an easterly heading for 30 nautical miles, and sails 30 degreeeast of north for 10 nautical miles, then west for 62 nautical miles. At that time the boat becomes becalmed and the auxiliary engine fails to start. The crew decides to notify the Coast Guard of their position. What is their position?

After flying for 20 min in a wind blowing 39 km/h at an angle of 22° south of east, an airplane pilot is over a town that is 60 km due north of the starting point. What is the speed of the airplane relative to the air?

A swimmer swims across a river at a velocity of 0.8 ms-1 in a direction perpendicular to the river banks. The water flows down the river at 0.6 ms-1. Find the resultant velocity of the swimmer and the direction.

A jet airliner moving at 474 mph due east moves into a region where the wind is blowing at 326 mph in a direction 460 north of west. What is the new velocity of the aircraft?

A boat traveling across a river has a resultant velocity of 10 km/h and travels 34 degrees with respect to the shore.  A) What is the boats velocity in m/s?     B) What is the velocity of the river in m/s?