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Vectors and Projectiles 2: Component Addition

Problem
Points
0/8
0/10
Total Score
0/18
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Assignment Overview

Use principles of component addition of vectors with the Pythagorean theorem and SOH CAH TOA to solve the following vector addition problems.

 1. VP7Q1
Points: 0/8

A hiker takes a trip which consists of two segments. Path A is 43.3 km long heading 58.6 degrees N of East. Path B is 93.5 km long in a direction 23.2 degrees N of W. Resolve each displacement vector into its components; consider using a table like the one below to orgnanize your results. Use - signs for a westward or southward direction. Then sum the columns to determine the resultant's x- and y-components. Finally determine the magnitude and the direction of the resultant.

  1. Ax

    Vector A in x-direction

    km

  2. Ay

    Vector A in y-direction

    km

  3. Bx

    Vector B in x-direction

    km

  4. By

    Vector B in y-direction

    km

  5. Rx

    Resultant vector in x-dir

    km

  6. Ry

    Resultant vector in y-dir

    km

  7. Resultant's magnitude

    km

  8. Resultant's direction

    ° CCW from East

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 2. VP7Q2
Points: 0/10

A hiker takes a trip which consists of three segments. Path A is 11.1 km long heading 58.8 degrees North of East. Path B is 10.4 km long in a direction due East. Path C is 3.3 km long heading 47.3 degrees East of South. 

 1) Resolve each displacement vector into its components; consider using a table like the one below to orgnanize your results. Use - signs for a westward or southward direction. 

2) Then sum the columns to determine the resultant's x- and y-components. 

3) Finally determine the magnitude and the direction of the resultant.

  1. Ax

    Vector A in x-direction

    km

  2. Ay

    Vector A in y-direction

    km

  3. Bx

    Vector B in x-direction

    km

  4. By

    Vector B in y-direction

    km

  5. Cx

    Vector C in x-direction

    km

  6. Cy

    Vector C in y-direction

    km

  7. Rx

    Resultant vector in x-dir

    km

  8. Ry

    Resultant Vector in y-dir

    km

  9. Resultant's magnitude

    km

  10. Resultant's direction

    ° CCW from East

Help Links

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