two dimensional kinematics
posted by ringo .
A jetliner with an airspeed of 1000 kmlhr sets out on a 1500 km flight due south. To maintain
a southward direction, however, the plane must be pointed fifteen degrees west of south. Ifthe
flight takes 1 00 min, what is the wind velocity?

if the wind speed is s, set up the x and ycomponents of the vectors:
first, work with velocity vectors only.
1500km in 100 min = 900km/hr
so, using the law of cosines,
s^2 = 1000^2 + 900^2  2(100)(90)cos30°
s = 1340 km/hr
Respond to this Question
Similar Questions

PHYSICS
Two planes fly from toronto to philadelphia. Plane a flies via pittsburgh whereas passenger on plane B have a direct flight. Pittsburgh is 350km due south of Toronto and 390km due west of Philadelphia. The airspeed of both planes is … 
Oceanography
On a sunny day in an estuary, the surface irradiance is 1.6*10^17 photons cm^2 s^1. What is k if the irradiance is 7.3*10^13 photons cm^1 s^1 at 16 m depth? 
Physics
A jetliner can fly 6.50 hours on a full load of fuel. Without any wind it flies at a speed of 2.15 102 m/s. The plane is to make a roundtrip by heading due west for a certain distance, turning around, and then heading due east for … 
physics
A jetliner can fly 5.57 hours on a full load of fuel. Without any wind it flies at a speed of 2.43 x 102 m/s. The plane is to make a roundtrip by heading due west for a certain distance, turning around, and then heading due east for … 
science
An airplane pilot sets a compass course due west and maintains an airspeed of 225km/h . After flying for a time of 0.520h , she finds herself over a town a distance 122km west and a distance 15km south of her starting point. Part A … 
Physics
An airplane needs to fly due south. The plane can fly at a speed of 720.0 km/hr in still air. If there is a wind blowing to the northeast at 70.0 km/hr, in what direction should the plane fly to maintain its heading of due south? 
Physics
A plane head north with an airspeed of 420 km/h. However, relative to the ground, it travels in a direction 7.0 west of north. if the wind's direction is towards the southwest (45.0 south of west), what is the wind speed? 
Math
A plane leaves an airport and flies South 58 Degrees East for 2 hours, then changes course to South 43 Degrees West and flies for 3 hours. How far away is the plane from the airport if it keeps a constant speed of 500km/h? 
Physics
An jet flies between two points on the ground that are 500 km apart with an airspeed of 200 m/s. The destination is directly north of the point of origin of the flight.. If a constant wind blows at 10 m/s toward the west during the … 
Math
find the velocity and direction of flight of a plane that is headed at 126 degrees with a ground speed of 215 mph in a 34 mi wind from south 36 degrees west