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 - Building Confidence

NameDate

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

A cart starts at 0 m/s and accelerates at 4 m/s² for 3 s. Using x = v₀t + ½at², how far does it go, Bo?
A cart starts at 2 m/s and accelerates at 2 m/s² for 4 s. Using x = v₀t + ½at², how far does it go, Esme?
3.
Knowns and unknown box (example data). Knowns: starting velocity 3 m/s; acceleration 2 m/s²; time 4 s. Unknown: final velocity. Using the knowns box, which equation should Jun use?
- v² = v₀² + 2ax
- v = v₀ + at
- x = vt
4.
Knowns and unknown box (example data). Knowns: starting velocity 0 m/s; acceleration 3 m/s²; time 2 s. Unknown: distance. Using the knowns box, which equation should Kira use?
- x = v₀t + ½at²
- v = v₀ + at
- v² = v₀² + 2ax
5.
Knowns and unknown box (example data). Knowns: starting velocity 4 m/s; final velocity 10 m/s; acceleration 2 m/s². Unknown: distance. Using the knowns box, which equation should Luz use?
- v² = v₀² + 2ax
- v = v₀ + at
- x = v₀t + ½at²
6.
A cart starts from rest. Which known does that give Milo?
- v₀ = 0 m/s
- t = 0 s
- a = 0 m/s²
7.
A cart brakes and comes to a stop. Which known does that give Noah?
- v = 0 m/s
- v₀ = 0 m/s
- a = 0 m/s²
8.
A cart rolls at a steady speed in a straight line. Which known does that give Pia?
- x = 0 m
- v = 0 m/s
- a = 0 m/s²
9.
What unit does ½at² come out in, Ren?
- m
- m/s
- m/s²
10.
What unit does 2ax come out in, Zee?
- m²
- m²/s²
- 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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