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?
- 8 N along x, 6 N along y
- 6 N along x, 8 N along y
- 14 N together
- 10 N along x, 0 along y
In the arrow grid, what is the magnitude of arrow F, Kira?
Use the picture in question 4.
- 10 N
- 2 N
- 14 N
- 48 N
In the arrow grid, what is tan θ for arrow F's angle above the x-axis, Luz?
Use the picture in question 4.
- 8 ÷ 6
- 6 ÷ 8 = 0.75
- 6 ÷ 10
- 10 ÷ 8
A = (3, 4) N and B = (5, −1) N. What is A + B, Milo?
- (8, 3) N
- (8, 5) N
- (2, 5) N
- (15, −4) N
A = (6, 2) m and B = (−6, 3) m. What is A + B, Noah?
- (0, 1) m
- (0, 5) m
- (12, 5) m
- (−36, 6) m
A boat points straight across a river while the current flows downstream. Where does it land, Ren?
- Upstream of the point straight across
- Back where it started
- Downstream of the point straight across
- At the point straight across
A boat points straight across a river. Does a faster current change the crossing time, Tala?
- No; only the across-speed sets it
- Yes; a faster current makes it shorter
- Yes; a faster current makes it longer
- Yes; the boat must fight the current