Add vectors and split them into parts
Grade 11 Science Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
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?
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?
In the arrow grid, what is the size of the net force on the cart, Jun?
- 10 N
- 25 N
- 70 N
- 50 N
In the arrow grid, about what angle north of east does the net force point, Kira?
Use the picture in question 3.
- About 53°
- About 37°
- About 90°
- About 45°
In the arrow grid, what single extra force would keep the cart from moving, Luz?
Use the picture in question 3.
- 70 N, 53° south of west
- 50 N, 53° south of west
- 50 N, 37° south of west
- 50 N, 53° north of east
Milo says two 10 N forces always add to 20 N. Agree or disagree?
- Agree: the x-part is F sin θ
- Disagree: it depends on the angle
- Agree: angles don't change a sum
- Agree: forces just add
Noah says a component can never be bigger than its vector. Agree or disagree?
- Disagree: x = F tan θ can be bigger
- Disagree: the y-part is F cos θ
- Disagree: components add up to more
- Agree: a leg can't beat the hypotenuse
To land at the point straight across a river, which way should a boat point, Ren?
- Angled upstream
- Straight across
- Angled downstream
- Straight upstream
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
- 60 m
- 0 m
A drone flies 12 m/s north in a 5 m/s wind blowing east. What is its speed over the ground, Zee?
- 7 m/s
- 12 m/s
- 17 m/s
- 13 m/s