Scalars and vectors

Grade 11 Science Worksheet - Building Confidence

NameDate

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

  1. 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?

  2. 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?

  3. 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?

  4. A ball hits a wall moving 8 m/s east and rebounds at 6 m/s west. What is the change in its velocity, Jun?

    • 14 m/s east
    • 2 m/s east
    • 14 m/s west
    • 2 m/s west
  5. A cart rolling east at 5 m/s slows to 2 m/s, still rolling east. What is the change in its velocity, Kira?

    • 3 m/s west
    • 7 m/s west
    • 3 m/s east
    • 7 m/s east
  6. 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?

    • 7 m/s
    • 5 m/s
    • 3 m/s
    • 1 m/s
  7. Milo runs 3 laps of a 400 m track in 300 s. What are the average speed and the average velocity?

    • 4 m/s and 0 m/s
    • 4 m/s and 4 m/s
    • 0 m/s and 0 m/s
    • 1.3 m/s and 0 m/s
  8. 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?

    • 157 m and 100 m
    • 100 m and 157 m
    • 314 m and 0 m
    • 157 m and 157 m
  9. Read this first

    Use this

    Arrow grid (example data).

  10. In the arrow grid, what speed does arrow A show, Ren?

    • 10 m/s
    • 7 m/s
    • 14 m/s
    • 5 m/s
  11. Which statement about arrows A and B is right, Tala?

    Use the picture in question 9.

    • A + B is 20 m/s, since both are 10 m/s
    • They are equal vectors, since both are 10 m/s long
    • They are opposite vectors: the same size and opposite directions, so A + B = 0
    • They have different sizes, since B points south and west
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Scalars and vectors

Answer Key - Grade 11 Science Worksheet - Building Confidence

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

  1. 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?

    500 N
  2. 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?

    130 N
  3. 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?

    290 N
  4. A ball hits a wall moving 8 m/s east and rebounds at 6 m/s west. What is the change in its velocity, Jun?

    • 14 m/s east
    • 2 m/s east
    • 14 m/s west
    • 2 m/s west
  5. A cart rolling east at 5 m/s slows to 2 m/s, still rolling east. What is the change in its velocity, Kira?

    • 3 m/s west
    • 7 m/s west
    • 3 m/s east
    • 7 m/s east
  6. 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?

    • 7 m/s
    • 5 m/s
    • 3 m/s
    • 1 m/s
  7. Milo runs 3 laps of a 400 m track in 300 s. What are the average speed and the average velocity?

    • 4 m/s and 0 m/s
    • 4 m/s and 4 m/s
    • 0 m/s and 0 m/s
    • 1.3 m/s and 0 m/s
  8. 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?

    • 157 m and 100 m
    • 100 m and 157 m
    • 314 m and 0 m
    • 157 m and 157 m
  9. Read this first

    Use this

    Arrow grid (example data).

  10. In the arrow grid, what speed does arrow A show, Ren?

    • 10 m/s
    • 7 m/s
    • 14 m/s
    • 5 m/s
  11. Which statement about arrows A and B is right, Tala?

    Use the picture in question 9.

    • A + B is 20 m/s, since both are 10 m/s
    • They are equal vectors, since both are 10 m/s long
    • They are opposite vectors: the same size and opposite directions, so A + B = 0
    • They have different sizes, since B points south and west