Add vectors and split them into parts

Grade 11 Science Worksheet - Challenge Me

NameDate

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

  1. A boat crosses a river 60 m wide, pointing straight across at 3 m/s. The current flows at 2 m/s. How far downstream does it land, Ari?

  2. A boat crosses a river 90 m wide, pointing straight across at 3 m/s. The current flows at 1 m/s. How far downstream does it land, Bo?

  3. A boat crosses a river 48 m wide, pointing straight across at 4 m/s. The current flows at 2 m/s. How far downstream does it land, Esme?

  4. In the arrow grid, what is the size of the net force on the cart, Jun?

    • 25 N
    • 70 N
    • 10 N
    • 50 N
  5. In the arrow grid, about what angle north of east does the net force point, Kira?

    Use the picture in question 4.

    • About 37°
    • About 90°
    • About 45°
    • About 53°
  6. In the arrow grid, what single extra force would keep the cart from moving, Luz?

    Use the picture in question 4.

    • 50 N, 53° south of west
    • 70 N, 53° south of west
    • 50 N, 37° south of west
    • 50 N, 53° north of east
  7. Milo says two 10 N forces always add to 20 N. Agree or disagree?

    • Agree: angles don't change a sum
    • Disagree: it depends on the angle
    • Agree: forces just add
    • Agree: the x-part is F sin θ
  8. Pia says a boat pointed straight across a river lands straight across. Agree or disagree?

    • Agree: the current doesn't affect a boat
    • Disagree: the current carries it downstream
    • Agree: speeds just add up
    • Agree: the x-part is F sin θ
  9. A boat crosses at 4 m/s for 20 s while a 3 m/s current flows. How far downstream does it drift, Tala?

    • 100 m
    • 80 m
    • 0 m
    • 60 m
  10. A drone flies 12 m/s north in a 5 m/s wind blowing east. What is its speed over the ground, Zee?

    • 12 m/s
    • 17 m/s
    • 7 m/s
    • 13 m/s
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Add vectors and split them into parts

Answer Key - Grade 11 Science Worksheet - Challenge Me

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

  1. A boat crosses a river 60 m wide, pointing straight across at 3 m/s. The current flows at 2 m/s. How far downstream does it land, Ari?

    40 m
  2. A boat crosses a river 90 m wide, pointing straight across at 3 m/s. The current flows at 1 m/s. How far downstream does it land, Bo?

    30 m
  3. A boat crosses a river 48 m wide, pointing straight across at 4 m/s. The current flows at 2 m/s. How far downstream does it land, Esme?

    24 m
  4. In the arrow grid, what is the size of the net force on the cart, Jun?

    • 25 N
    • 70 N
    • 10 N
    • 50 N
  5. In the arrow grid, about what angle north of east does the net force point, Kira?

    Use the picture in question 4.

    • About 37°
    • About 90°
    • About 45°
    • About 53°
  6. In the arrow grid, what single extra force would keep the cart from moving, Luz?

    Use the picture in question 4.

    • 50 N, 53° south of west
    • 70 N, 53° south of west
    • 50 N, 37° south of west
    • 50 N, 53° north of east
  7. Milo says two 10 N forces always add to 20 N. Agree or disagree?

    • Agree: angles don't change a sum
    • Disagree: it depends on the angle
    • Agree: forces just add
    • Agree: the x-part is F sin θ
  8. Pia says a boat pointed straight across a river lands straight across. Agree or disagree?

    • Agree: the current doesn't affect a boat
    • Disagree: the current carries it downstream
    • Agree: speeds just add up
    • Agree: the x-part is F sin θ
  9. A boat crosses at 4 m/s for 20 s while a 3 m/s current flows. How far downstream does it drift, Tala?

    • 100 m
    • 80 m
    • 0 m
    • 60 m
  10. A drone flies 12 m/s north in a 5 m/s wind blowing east. What is its speed over the ground, Zee?

    • 12 m/s
    • 17 m/s
    • 7 m/s
    • 13 m/s