An Airplane leaves point A and attempts to fly due north at a velocity of 200 m/s. There is a crosswind of 25 m/s towards the east. How far off course is the airplane after 1 hour?
X = 25 m/s.
Y = 200 m/s.
Tan A = Y/X = 200/25 = 8.00
A = 82.9o
Vp = Y/sin A = 200/sin82.9 = 202 m/s. =
Velocity of the plane.
d = 202m/s[82.9] * 3600s = 728,147 m. @
82.9o
To find out how far off course the airplane is after 1 hour, we need to consider the effect of the crosswind on its path.
The airplane is flying due north with a velocity of 200 m/s, while there is a crosswind blowing towards the east with a velocity of 25 m/s. This means that the airplane will experience a horizontal force due to the crosswind, known as a drift force.
To calculate the drift distance, we can use the formula:
Drift distance = Crosswind velocity * Time
In this case, the crosswind velocity is 25 m/s and the time is 1 hour (which is equivalent to 3600 seconds).
Plugging in the values, we get:
Drift distance = 25 m/s * 3600 s = 90,000 meters
Therefore, the airplane will be off course by 90,000 meters after 1 hour.