Add vectors and split them into parts
Grade 11 Science Worksheet

Circle the best answer, or write your answer on the line.
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?
Bo pulls a cart's handle with 20 N at 30° above the ground. What is the horizontal part of the pull, to the nearest 0.1 N?
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?
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
In the arrow grid, what is tan θ for arrow F's angle above the x-axis, Luz?
Use the picture in question 4.
- 10 ÷ 8
- 6 ÷ 8 = 0.75
- 8 ÷ 6
- 6 ÷ 10
A = (3, 4) N and B = (5, −1) N. What is A + B, Milo?
- (2, 5) N
- (8, 3) N
- (8, 5) N
- (15, −4) N
A = (6, 2) m and B = (−6, 3) m. What is A + B, Noah?
- (12, 5) m
- (0, 1) m
- (0, 5) m
- (−36, 6) m
A drone flies (40, 30) m, then (20, −30) m. What is its total displacement, Pia?
- (800, −900) m
- (60, 0) m
- (60, 60) m
- (20, 60) m
A boat points straight across a river. Does a faster current change the crossing time, Tala?
- Yes; the boat must fight the current
- Yes; a faster current makes it longer
- Yes; a faster current makes it shorter
- No; only the across-speed sets it
A boat moves 4 m/s across a river with a 3 m/s current. What is its speed relative to the shore, Zee?
- 7 m/s
- 5 m/s
- 4 m/s
- 1 m/s