Solution Found!
Velocity vectors Assume the positive x-axis points east
Chapter 12, Problem 11RE(choose chapter or problem)
Velocity vectors Assume the positive x-axis points east and the positive y-axis points north.
(a) An airliner flies northwest at a constant altitude at 550 mi/hr in calm air. Find a and b such that its velocity may be expressed in the form v=ai+bj.
(b) An airliner flies northwest at a constant altitude at 550 mi/hr relative to the air in a southerly crosswind \(w=\langle 0,40\rangle\). Find the velocity of the airliner relative to the ground.
Questions & Answers
QUESTION:
Velocity vectors Assume the positive x-axis points east and the positive y-axis points north.
(a) An airliner flies northwest at a constant altitude at 550 mi/hr in calm air. Find a and b such that its velocity may be expressed in the form v=ai+bj.
(b) An airliner flies northwest at a constant altitude at 550 mi/hr relative to the air in a southerly crosswind \(w=\langle 0,40\rangle\). Find the velocity of the airliner relative to the ground.
ANSWER:Solution 11RE
Step 1:
Velocity vectors
Assume the positive x-axis points east and the positive y-axis points north.
(a). An airliner flies northwest at a constant altitude at 550 mi/hr in calm air. Find a and b such that its velocity may be expressed in the form v = ai + bj.
The resultant vector is the altitude
Now the velocity vector can be written in the form
Therefore and