Scalars and vectors
Grade 11 Science Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Two tugboats pull a barge with forces of 300 N and 400 N at right angles to each other. What is the size of the net force, Ari?
Two tugboats pull a barge with forces of 50 N and 120 N at right angles to each other. What is the size of the net force, Bo?
Two tugboats pull a barge with forces of 200 N and 210 N at right angles to each other. What is the size of the net force, Esme?
A cart rolling east at 5 m/s slows to 2 m/s, still rolling east. What is the change in its velocity, Kira?
- 7 m/s west
- 7 m/s east
- 3 m/s east
- 3 m/s west
A skater moving north at 4 m/s turns and moves east at 3 m/s. What is the size of the change in velocity, Luz?
- 3 m/s
- 7 m/s
- 1 m/s
- 5 m/s
Noah runs half a lap round a circular track 100 m across. The track is 314 m round. What are the distance and the displacement?
- 314 m and 0 m
- 100 m and 157 m
- 157 m and 157 m
- 157 m and 100 m
Pia rides in a car that drives 60 km north in 1 h, then 80 km east in 1 h. What are its average speed and average velocity?
- 70 km/h and 50 km/h
- 35 km/h and 25 km/h
- 70 km/h and 70 km/h
- 50 km/h and 50 km/h
Read this first
Use this
Arrow grid (example data).
In the arrow grid, what speed does arrow A show, Ren?
- 10 m/s
- 7 m/s
- 14 m/s
- 5 m/s
Which statement about arrows A and B is right, Tala?
Use the picture in question 8.
- They are equal vectors, since both are 10 m/s long
- A + B is 20 m/s, since both are 10 m/s
- They are opposite vectors: the same size and opposite directions, so A + B = 0
- They have different sizes, since B points south and west
How does arrow C compare with arrow A, Zee?
Use the picture in question 8.
- The same size as A, but a different direction
- A different direction from A, and 20 m/s long
- Same direction as A and twice the size, 20 m/s
- The same direction as A, but 28 m/s long