15) (ex) You hike to a position 7.0 miles from the origin, at an angle of -35 degrees (or 325 degrees). Call this initial displacement R₁. From this location, you hike through an unknown displacement, R₂. You end up at a position 8.0 miles from the origin, at an angle of 250 degrees. This your resultant displacement vector R. (a) Make a diagram showing all three vectors roughly to scale. (b) Use the component method to determine the magnitude and direction of R₂. (Use clear, standard notation; show all details of your work. See PSL 3.4,6.)

Physics for Scientists and Engineers: Foundations and Connections
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Chapter3: Vectors
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Problem 50PQ: An aircraft undergoes two displacements. If the first displacement is directed at an angle of 225...
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15) (ex) You hike to a position 7.0 miles from the origin, at an angle of -35 degrees (or 325 degrees).
Call this initial displacement R₁. From this location, you hike through an unknown displacement, R₂.
You end up at a position 8.0 miles from the origin, at an angle of 250 degrees. This your resultant
displacement vector R. (a) Make a diagram showing all three vectors roughly to scale. (b) Use the
component method to determine the magnitude and direction of R₂. (Use clear, standard notation;
show all details of your work. See PSL 3.4,6.)
Transcribed Image Text:15) (ex) You hike to a position 7.0 miles from the origin, at an angle of -35 degrees (or 325 degrees). Call this initial displacement R₁. From this location, you hike through an unknown displacement, R₂. You end up at a position 8.0 miles from the origin, at an angle of 250 degrees. This your resultant displacement vector R. (a) Make a diagram showing all three vectors roughly to scale. (b) Use the component method to determine the magnitude and direction of R₂. (Use clear, standard notation; show all details of your work. See PSL 3.4,6.)
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