A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north. Find the magnitude and direction of the car's resultant displacement. Step 0. Draw the vectors for better visualization. Label the vectors. Step 1. Get the components of each vector in the x and y axes. Step 2. Add all the components in the x axis to determine Ry. Add all the components in the y axis to determine R, Step 3. Solve for the magnitude of the resultant vector, R. Solve for the direction of the resultant vector, R.

University Physics Volume 1
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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter2: Vectors
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Problem 63P: Assuming the +x-axis is horizontal to the right for the vectors in the preceding figure, find (a)...
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A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of
north. Find the magnitude and direction of the car's resultant displacement.
Step 0. Draw the vectors for better visualization. Label the vectors.
Step 1. Get the components of each vector in the x and y axes.
Step 2.
Add all the components in the x axis to determine Ry.
Add all the components in the y axis to determine R,
Step 3.
Solve for the magnitude of the resultant vector, R.
Solve for the direction of the resultant vector, R.
Transcribed Image Text:A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north. Find the magnitude and direction of the car's resultant displacement. Step 0. Draw the vectors for better visualization. Label the vectors. Step 1. Get the components of each vector in the x and y axes. Step 2. Add all the components in the x axis to determine Ry. Add all the components in the y axis to determine R, Step 3. Solve for the magnitude of the resultant vector, R. Solve for the direction of the resultant vector, R.
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