Resultant Displacement and Angles

This video tutorial focuses on solving problems involving resultant displacement. It covers several examples, including journeys by Karen, Tim, John, Susan, and Kim, to illustrate how to calculate the magnitude and direction of resultant displacement using vector addition and trigonometry. The tutorial explains the use of the Pythagorean theorem and inverse tangent function to find angles and discusses different ways to describe vector directions. The video also demonstrates breaking down vectors into components and calculating net displacement.

What is the magnitude of Karen's resultant displacement after walking 5 meters east and 12 meters north?

• 15 meters

• 17 meters

• 13 meters

• 10 meters

In Karen's displacement problem, what is the angle of displacement measured from the positive x-axis?

• 60 degrees

• 45 degrees

• 67.38 degrees

• 90 degrees

What is the magnitude of Tim's resultant displacement after traveling 30 feet west and 40 feet north?

• 50 feet

• 60 feet

• 40 feet

• 30 feet

In Tim's displacement problem, what is the angle of displacement measured from the positive x-axis?

• 180 degrees

• 90 degrees

• 126.9 degrees

• 53.1 degrees

What is the net displacement in the x-direction for John's journey?

• 150 meters

• 190 meters

• 40 meters

• 80 meters

What is the magnitude of John's resultant displacement?

• 200 meters

• 190 meters

• 150 meters

• 170 meters

What is the magnitude of Susan's resultant displacement after her journey?

• 5 miles

• 6.766 miles

• 7 miles

• 8 miles

In Susan's displacement problem, what is the angle of displacement measured from the positive x-axis?

• 10 degrees

• 45 degrees

• 17.2 degrees

• 30 degrees

What is the magnitude of Kim's resultant displacement after her journey?

• 650 meters

• 500 meters

• 560.3 meters

• 600 meters

In Kim's displacement problem, what is the angle of displacement relative to west?

• 1.5 degrees south of west

• 2.51 degrees south of west

• 3 degrees south of west

• 4 degrees south of west