Solve motion problems with the kinematic equations

Answer Key - Grade 11 Science Worksheet - Building Confidence

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

1. 1.

   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?

   18 m
2. 2.

   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?

   24 m
3. 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. 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. 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. 6.

   A cart starts from rest. Which known does that give Milo?

   • v₀ = 0 m/s
   • t = 0 s
   • a = 0 m/s²
7. 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. 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. 9.

   What unit does ½at² come out in, Ren?

   • m
   • m/s
   • m/s²
10. 10.

    What unit does 2ax come out in, Zee?

    • m²
    • m²/s²
    • m/s