12th grade Position, velocity, speed and acceleration worksheet

Position, velocity, speed and acceleration

Grade 12 Math Worksheet

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

1. 1.

   A toy cart is at s(t) = t³ − 9t² + 15t meters, right positive. Ari checks t = 2. Which describes it then?

   • slowing down, moving right
   • speeding up, moving right
   • speeding up, moving left
   • slowing down, moving left
2. 2.

   A robot is at s(t) = t³ − 9t² + 15t meters, right positive. Bo checks t = 4. Which describes it then?

   • speeding up, moving right
   • slowing down, moving left
   • speeding up, moving left
   • slowing down, moving right
3. 3.

   A sled on a track is at s(t) = t³ − 9t² + 15t meters, right positive. Jun checks t = 0.5. Which describes it then?

   • slowing down, moving right
   • speeding up, moving left
   • slowing down, moving left
   • speeding up, moving right
4. 4.

   A robot is at s(t) = t³ − 9t² + 24t meters. Kira finds every time t > 0 it is at rest. List them, separated by commas.
5. 5.

   A toy train is at s(t) = t³ − 6t² + 9t meters. Luz finds every time t > 0 it is at rest. List them, separated by commas.
6. 6.

   A sled on a track is at s(t) = t³ − 9t² + 15t meters. Milo finds every time t > 0 it is at rest. List them, separated by commas.
7. 7.

   A toy cart is at s(t) = t³ − 12t² + 36t meters. Noah finds every time t > 0 it is at rest. List them, separated by commas.
8. 8.

   A bead on a wire is at s(t) = t² − 6t + 4 cm for 0 ≤ t ≤ 8 seconds. Pia finds the total distance it travels. What is it, in cm?
9. 9.

   A bead on a wire is at s(t) = t² − 4t + 1 cm for 0 ≤ t ≤ 6 seconds. Ren finds the total distance it travels. What is it, in cm?
10. 10.

    A bead on a wire is at s(t) = t² − 8t + 3 cm for 0 ≤ t ≤ 10 seconds. Tala finds the total distance it travels. What is it, in cm?