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Grade 11 · Science · Physics

11th grade Displacement and velocity, with a frame of reference worksheet

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Displacement and velocity, with a frame of reference

Grade 11 Science Worksheet - Building Confidence

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

  1. East is positive. Ari's cart goes from x = -8 m to x = 14 m in 11 s, rolling 40 m in all. What is its average velocity?

  2. East is positive. Bo's cart goes from x = 12 m to x = -6 m in 9 s, rolling 30 m in all. What is its average velocity?

  3. East is positive. Esme's cart goes from x = -20 m to x = -5 m in 6 s, rolling 45 m in all. What is its average velocity?

  4. In the position-time graph, a cart moves from x = 12 m to x = 0 m in 6 s. What is its velocity, Jun?

    • 0 m/s, since it ends at the origin
    • +2 m/s, since a speed cannot be negative
    • 12 m/s, the starting position
    • −2 m/s: it moves toward the origin

  5. In the position-time graph, the lines for carts A and B cross at 5 s. What is true at that moment, Kira?

    • The same speed, so the same velocity of 2 m/s
    • Both carts stop, since they reach the same place
    • Same place, equal speeds, opposite velocities (+2 and −2 m/s)
    • Same place and the same velocity, since the lines meet

  6. East is positive. Train A moves +30 m/s and train B moves +24 m/s on parallel tracks. What is B's velocity as seen from A, Milo?

    • 24 m/s toward the east, its ground velocity
    • 6 m/s toward the east
    • 6 m/s toward the west
    • 54 m/s toward the east

  7. East is positive. A moving walkway runs +1.5 m/s. Pia walks west at 1.2 m/s relative to the belt. What is the velocity relative to the floor?

    • 2.7 m/s toward the east
    • 0.3 m/s toward the west
    • 0.3 m/s toward the east
    • 1.2 m/s toward the west

  8. A runner completes one 400 m lap in 80 s and ends where it started. What are the average speed and average velocity, Ren?

    • Speed 5 m/s; velocity 5 m/s
    • Speed 0 m/s; velocity 0 m/s
    • Speed 0 m/s; velocity 5 m/s
    • Speed 5 m/s; velocity 0 m/s

  9. In the position-time graph, what is the cart's velocity from 0 to 3 s, then from 3 to 6 s, Tala?

    • 0 m/s, then +2 m/s
    • 4 m/s, then +2 m/s, treating flat as steady motion
    • 0 m/s, then +6 m/s, the rise alone
    • 4 m/s, then 10 m/s, the positions

  10. East is positive. Zee's cart moves from x = −6 m to x = −2 m in 2.0 s. Which statement is true?

    • Its velocity is +2 m/s: it moves west, away from the origin
    • Its velocity is +2 m/s: it moves east, toward the origin
    • Its velocity is +4 m/s, the displacement
    • Its velocity is −2 m/s, since its position is negative
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11th grade Displacement and velocity, with a frame of reference worksheet – printable
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About this worksheet

Displacement and velocity. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find displacement as final − start and average velocity as displacement ÷ time when the path loops back, and tell it from distance and average speed.
  • I can read position-time graphs with negative positions, flat pieces, crossings and reversals, and find when a cart is back at the origin.
  • I can find the average velocity of a trip made of legs at different speeds (total displacement ÷ total time, not the mean of the velocities).
  • I can combine velocities between frames with signs (boat and river, walkway, trains passing, wind) and solve meeting and catching times; I know acceleration, not velocity, is the same in frames that differ by a steady velocity.

Standard: supports HS-PS2-1

Words to know

position: Where something is on a number line, measured from 0

displacement: Final position − starting position, with its sign

average velocity: Displacement ÷ time

average speed: Distance travelled ÷ time, with no sign

relative velocity: Velocity measured from a moving frame: object minus frame

Common mistakes

Your child used the length of the path where displacement was needed. Displacement is only final position minus start position.

Your child divided the final position by the time. Displacement is the final position minus the start position.

Your child averaged two velocities. When the legs last different times, use total displacement ÷ total time instead.

Questions parents ask

What is the most common mistake with displacement and velocity, with a frame of reference?

Your child used the length of the path where displacement was needed. Displacement is only final position minus start position.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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