Add vectors and split them into parts

Grade 11 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. Ari pulls a cart's handle with 10 N at 60° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

  2. Esme pulls a cart's handle with 40 N at 37° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

  3. In the arrow grid, what are the components of arrow F, Jun?

    • 6 N along x, 8 N along y
    • 10 N along x, 0 along y
    • 14 N together
    • 8 N along x, 6 N along y
  4. In the arrow grid, what is the magnitude of arrow F, Kira?

    Use the picture in question 3.

    • 14 N
    • 10 N
    • 48 N
    • 2 N
  5. A = (3, 4) N and B = (5, −1) N. What is A + B, Milo?

    • (8, 5) N
    • (15, −4) N
    • (2, 5) N
    • (8, 3) N
  6. A = (6, 2) m and B = (−6, 3) m. What is A + B, Noah?

    • (0, 5) m
    • (0, 1) m
    • (−36, 6) m
    • (12, 5) m
  7. A drone flies (40, 30) m, then (20, −30) m. What is its total displacement, Pia?

    • (20, 60) m
    • (60, 0) m
    • (800, −900) m
    • (60, 60) m
  8. A boat points straight across a river while the current flows downstream. Where does it land, Ren?

    • Back where it started
    • Upstream of the point straight across
    • At the point straight across
    • Downstream of the point straight across
  9. A boat points straight across a river. Does a faster current change the crossing time, Tala?

    • Yes; the boat must fight the current
    • No; only the across-speed sets it
    • Yes; a faster current makes it longer
    • Yes; a faster current makes it shorter
  10. A boat moves 4 m/s across a river with a 3 m/s current. What is its speed relative to the shore, Zee?

    • 4 m/s
    • 7 m/s
    • 1 m/s
    • 5 m/s
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Add vectors and split them into parts

Answer Key - Grade 11 Science Worksheet

Circle the best answer, or write your answer on the line.

  1. Ari pulls a cart's handle with 10 N at 60° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

    5 N
  2. Esme pulls a cart's handle with 40 N at 37° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?

    31.9 N
  3. In the arrow grid, what are the components of arrow F, Jun?

    • 6 N along x, 8 N along y
    • 10 N along x, 0 along y
    • 14 N together
    • 8 N along x, 6 N along y
  4. In the arrow grid, what is the magnitude of arrow F, Kira?

    Use the picture in question 3.

    • 14 N
    • 10 N
    • 48 N
    • 2 N
  5. A = (3, 4) N and B = (5, −1) N. What is A + B, Milo?

    • (8, 5) N
    • (15, −4) N
    • (2, 5) N
    • (8, 3) N
  6. A = (6, 2) m and B = (−6, 3) m. What is A + B, Noah?

    • (0, 5) m
    • (0, 1) m
    • (−36, 6) m
    • (12, 5) m
  7. A drone flies (40, 30) m, then (20, −30) m. What is its total displacement, Pia?

    • (20, 60) m
    • (60, 0) m
    • (800, −900) m
    • (60, 60) m
  8. A boat points straight across a river while the current flows downstream. Where does it land, Ren?

    • Back where it started
    • Upstream of the point straight across
    • At the point straight across
    • Downstream of the point straight across
  9. A boat points straight across a river. Does a faster current change the crossing time, Tala?

    • Yes; the boat must fight the current
    • No; only the across-speed sets it
    • Yes; a faster current makes it longer
    • Yes; a faster current makes it shorter
  10. A boat moves 4 m/s across a river with a 3 m/s current. What is its speed relative to the shore, Zee?

    • 4 m/s
    • 7 m/s
    • 1 m/s
    • 5 m/s