Grade 11 · Science · Physics

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

NameDate

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

A cart starts at 0 m/s and accelerates at 2 m/s² over 9 m. Using v² = v₀² + 2ax, how fast is it going then, Ari?
A cart starts at 3 m/s and accelerates at 2 m/s² over 4 m. Using v² = v₀² + 2ax, how fast is it going then, Bo?
A cart starts at 5 m/s and accelerates at 6 m/s² over 2 m. Using v² = v₀² + 2ax, how fast is it going then, Esme?
4.
A cart starts from rest and reaches 8 m/s at 2 m/s². How long does that take, Jun?
- 0.25 s
- 16 s
- 6 s
- 4 s
5.
A cart at 6 m/s speeds up at 1 m/s² for 4 s. How far does it go, Luz?
- 24 m
- 40 m
- 32 m
- 8 m
6.
A cart speeds up from 2 m/s to 6 m/s over 8 m. To find its acceleration, which equation fits, Milo?
- v = v₀ + at
- x = v₀t + ½at²
- x = vt
- v² = v₀² + 2ax
7.
A cart starts from rest at 0.5 m/s² for 10 s. To find how far it goes, which equation fits best, Pia?
- v² = v₀² + 2ax
- v = v₀ + at
- x = at
- x = v₀t + ½at²
8.
Forward is positive. A cart moving forward brakes at 3 m/s². What value of a goes in the equations, Ren?
- +3 m/s²
- −9.8 m/s²
- 0 m/s²
- −3 m/s²
9.
Up is positive. A spring toy launches a ball straight up. What value of a goes in the equations, Tala?
- −9.8 m/s²
- −4.9 m/s²
- 0 m/s²
- +9.8 m/s², since it moves up
10.
A cart rolling backward at −4 m/s brakes to a stop. What is its final velocity, Zee?
- 0 m/s
- +4 m/s
- −4 m/s
- −8 m/s

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

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

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

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).

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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