Add vectors and split them into parts

Answer Key - Grade 11 Science Worksheet - Building Confidence

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

1. 1.

   A drone flies 3 m east, then 4 m north. How far is it from where it started, Ari?

   5 m
2. 2.

   A drone flies 6 m east, then 8 m north. How far is it from where it started, Bo?

   10 m
3. 3.

   A drone flies 5 m east, then 12 m north. How far is it from where it started, Esme?

   13 m
5. 4.

   In the arrow grid, which arrow shows A + B, Jun?

   • Arrow B by itself
   • The dashed arrow R
   • An arrow from B's tip back to A's tip
6. 5.

   In the arrow grid, how long is arrow R, Kira?

   Use the picture in question 4.

   • 5 m
   • 1 m
   • 7 m
7. 6.

   In the arrow grid, would drawing B first and then A change R, Luz?

   Use the picture in question 4.

   • Yes; R doubles
   • Yes; R points the other way
   • No; R is the same
8. 7.

   A force F points at angle θ above the +x axis. What is its x-component, Milo?

   • F sin θ
   • F tan θ
   • F cos θ
9. 8.

   A force F points at angle θ above the +x axis. What is its y-component, Noah?

   • F ÷ θ
   • F sin θ
   • F cos θ
10. 9.

    For 3 m east plus 4 m north, which gives tan θ, with θ measured from east, Tala?

    • 3 ÷ 4
    • 4 ÷ 5
    • 4 ÷ 3
11. 10.

    A drone flies 6 m east, then 6 m north. At what angle north of east is its displacement, Zee?

    • 45°
    • 60°
    • 90°