An airplane is headed on a bearing of 111° at an airspeed of 222 km per hour. At 46 km per hour wind is blowing from a direction of 190°. Find the ground speed and resulting bearing of the plane.

A light plane attains an airspeed of 490 km/h. The pilot sets out for a destination 790 km due north but discovers that the plane must be headed 19.0° east of due north to fly there directly. The plane arrives in 2.00 h. What were the (a) magnitude and (b) direction of the wind velocity? Give the direction as an angle relative to due west, where north of west is a positive angle, and south of west is a negative angle. (a) Number i (b) Number Units Units

An airplane flies horizontally from east to west at 266 mi/hr relative to the air. If it flies in a steady 36 mi/hr wind that blows horizontally toward the southwest ​(45° south of​ west), find the speed and direction of the airplane relative to the ground.   The speed of the airplane is approximately? the direction of the airplane relative to the ground is?

Two ships A and B leave the same port at 3:00 p.m. Ship takes a course N 43°43'W at 30 km per hour while B sails due north. At 5:00 pm., B is directly east of A. What is the speed of ship B and what is the distance between the two ships?

A migrating salmon heads in the direction N 45° E swimming 8. 5 mi/hr relative to the water. The ocean currents in the area flow due East at 3 mi/hr. Find the true velocity of the fish as a vector and find its speed, the magnitude of this velocity vector.

An explorer is caught in a whiteout (in which the snowfall is so thick that the ground cannot be distinguished from the sky) while returning to base camp. He was supposed to travel due north for 5.1 km, but when the snow clears, he discovers that he actually traveled 8.4 km at 46° north of due east. (a) How far and (b) in what direction (south of due west) must he now travel to reach base camp? (a) Number i 34.99 (b) Number 1.48 Units Units km ° (degrees)

A pilot is in his plane with the intention of flying to Nunavut. From the current location, Nunavut is [N 9.0W]. The flight tracker estimates the distance from Toronto to Nunavut is approximate 3.0x103km. The plane hasthe capability to fly at an airspeed of 890 km/hr. The pilot aims the plane at a heading [N], and lands in Nunavutdirectly. If the flight takes 3.33 hrs to complete: a. What is the velocity of the plane relative to the Earth? b. What was the wind velocity present on that day?

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?

A ferryboat is traveling in a direction 22.0° north of east with a speed of 3.16 m/s relative to the water. A passenger is walking with a velocity of 2.53 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 i IN (b) Number MI Units Units

Athena is planning a flight from Toronto to Montreal, which lies due east of Toronto. Her aircraft flies at a speed of 800.0 km/h in still air. A wind of 50.0 km/h is blowing from [W 30.0° N]. In what direction must she aim the airplane to fly directly to Montreal ?