Solve motion problems with the kinematic equations

Answer Key - Grade 11 Science Worksheet

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

1. 1.

   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?

   6 m/s
2. 2.

   A cart starts from rest and reaches 8 m/s at 2 m/s². How long does that take, Jun?

   • 0.25 s
   • 4 s
   • 16 s
   • 6 s
3. 3.

   The same cart starts from rest at 2 m/s² for 4 s. How far does it go, Kira?

   • 32 m
   • 64 m
   • 8 m
   • 16 m
4. 4.

   A cart at 6 m/s speeds up at 1 m/s² for 4 s. How far does it go, Luz?

   • 24 m
   • 8 m
   • 32 m
   • 40 m
5. 5.

   A cart speeds up from 2 m/s to 6 m/s over 8 m. To find its acceleration, which equation fits, Milo?

   • v² = v₀² + 2ax
   • x = vt
   • x = v₀t + ½at²
   • v = v₀ + at
6. 6.

   A cart at 3 m/s accelerates at 1.5 m/s² for 6 s. To find its final speed, which equation fits best, Noah?

   • x = vt
   • a = x ÷ t
   • v = v₀ + at
   • v² = v₀² + 2ax
7. 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 = v₀t + ½at²
   • x = at
8. 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
   • +3 m/s²
   • 0 m/s²
9. 9.

   Up is positive. A spring toy launches a ball straight up. What value of a goes in the equations, Tala?

   • −4.9 m/s²
   • 0 m/s²
   • +9.8 m/s², since it moves up
   • −9.8 m/s²
10. 10.

    A cart rolling backward at −4 m/s brakes to a stop. What is its final velocity, Zee?

    • −4 m/s
    • 0 m/s
    • −8 m/s
    • +4 m/s