Question

In: Physics

a pilot has his small airplane heading due north at 50 km/h. after two hours of...

a pilot has his small airplane heading due north at 50 km/h. after two hours of flight he finds himself 40 km east and 70 km north of his starting point. find the velocity of the crosswind that is driving the plane off-course?

Solutions

Expert Solution

Given:

Time of flight,

Speed of plane,

North means y-direction

so

----------

Let be the speed of the wind

And let be the resultant velocity

-----

===========================================

Consider the resultant vector

Speed = Distance/time

, where is the resultant distance

Given Resultant distance,

---------

==============================================

--------

Magnitude,

Direction,

( negative y and positive x, so 4th quadrant)

============

ANSWER:

=======================================================


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