Solve motion problems with the kinematic equations
Grade 11 Science Worksheet

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