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11th grade Solve motion problems with the kinematic equations worksheet

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Solve motion problems with the kinematic equations

Grade 11 Science Worksheet - Challenge Me

NameDate

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

  1. A cart rolling at 9 m/s brakes steadily at 3 m/s² until it stops. Using v² = v₀² + 2ax, how far does it travel while stopping, Esme?

  3. In the velocity-time graph, how far does the cart go from 0 s to 4 s, Jun?

    • 24 m
    • 16 m
    • 40 m
    • 48 m

  4. In the velocity-time graph, what is the cart's acceleration, Kira?

    Use the picture in question 2.

    • 8 m/s²
    • 2.5 m/s²
    • 2 m/s²
    • 10 m/s²

  5. Using the velocity-time graph's start and end velocities, which working finds the distance without using the time, Luz?

    Use the picture in question 2.

    • 10² ÷ 2 = 50 m
    • (10² + 2²) ÷ 2 = 52 m
    • (10² − 2²) ÷ (2 × 2) = 24 m
    • (10 − 2) ÷ (2 × 2) = 2 m

  6. Milo says x = v₀t + ½at² works for a cart whose acceleration keeps changing. Agree or disagree?

    • Agree: braking a is positive anyway
    • Agree: any equation works if t is unknown
    • Agree: and the ½ can be dropped
    • Disagree: it needs constant acceleration

  7. Forward is positive. Noah says a cart braking while moving forward has a negative acceleration. Agree or disagree?

    • Disagree: braking makes a positive
    • Agree: a points against the motion
    • Disagree: the sign needs the time first
    • Disagree: x = v₀t + at², with no ½

  8. Pia says v² = v₀² + 2ax finds a stopping distance when the time isn't known. Agree or disagree?

    • Disagree: use x = v₀t + ½at², though t is unknown
    • Disagree: it should be v₀t + at²
    • Disagree: stopping makes a positive
    • Agree: it has no t in it

  9. Rearrange v = v₀ + at to find t. Which is right, Ren?

    • t = (v + v₀) ÷ a
    • t = (v − v₀) ÷ a
    • t = a ÷ (v − v₀)
    • t = v − v₀ − a

  10. Rearrange v² = v₀² + 2ax to find a. Which is right, Tala?

    • a = (v² − v₀²) ÷ 2x
    • a = 2x ÷ (v² − v₀²)
    • a = (v² + v₀²) ÷ 2x
    • a = (v − v₀) ÷ 2x

  11. Up is positive. A spring toy launches a ball straight up at 14.7 m/s, with g = 9.8 m/s². How high does it rise, Zee?

    • About 1.5 m
    • About 22 m
    • About 0.75 m
    • About 11 m
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11th grade Solve motion problems with the kinematic equations worksheet – printable
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About this worksheet

Solve motion problems with the kinematic equations. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can list the knowns, including hidden ones (from rest, stops, steady speed), and pick the equation that leaves out the quantity I don't have:
  • I can solve one-step and two-step problems: distance, speed after a distance, time to reach a speed, stopping distance.
  • I can give the acceleration its sign (negative when braking while moving forward; −9.8 m/s² for a launched ball, with up positive).
  • I can rearrange each equation. I know they need constant acceleration, and that they match the area and slope of the velocity-time graph.

Standard: supports HS-PS2-1

Words to know

v₀: Starting velocity

v: Final velocity

knowns box: A list of the given quantities and the one wanted

constant acceleration: Velocity changing by the same amount each second

stopping distance: How far something travels while braking to rest

Common mistakes

Your child left out the ½ in x = v₀t + ½at². The ½ comes from the triangle under the velocity-time line.

Your child stopped at v². The equation gives v², so take the square root to get v.

Your child left out the 2 in v² = v₀² + 2ax. With v = 0, x = v₀² ÷ (2 × braking).

Questions parents ask

What is the most common mistake with solve motion problems with the kinematic equations?

Your child left out the ½ in x = v₀t + ½at². The ½ comes from the triangle under the velocity-time line.

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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