Solution Found!
You fly 32.0 km in a straight line in still air in the
Chapter 3, Problem 21(choose chapter or problem)
Problem 21PE
You fly 32.0 km in a straight line in still air in the direction 35.0º south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0º south of west and then in a direction 45.0º west of north. These are the components of the displacement along a different set of axes—one rotated 45º.
Questions & Answers
QUESTION:
Problem 21PE
You fly 32.0 km in a straight line in still air in the direction 35.0º south of west. (a) Find the distances you would have to fly straight south and then straight west to arrive at the same point. (This determination is equivalent to finding the components of the displacement along the south and west directions.) (b) Find the distances you would have to fly first in a direction 45.0º south of west and then in a direction 45.0º west of north. These are the components of the displacement along a different set of axes—one rotated 45º.
ANSWER:
Step 1 of 3
The magnitude and direction of the displacement is given. We have to find the component of the displacement along the south and west, then we have to find the component along the two axes when the axes are set at 45° south of west and west of north.
If we then add the components, we will get the total distance.