Worksheet

Position, velocity, speed and acceleration

Grade 12 Math Worksheet

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

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

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

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

  3. A toy train is at s(t) = t³ − 9t² + 15t meters, right positive. Esme checks t = 6. Which describes it then?

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

  4. 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

  5. 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.

  6. 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.

  7. 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.

  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. 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. 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?

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Position, velocity, speed and acceleration

Answer Key - Grade 12 Math Worksheet

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

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

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

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

  3. A toy train is at s(t) = t³ − 9t² + 15t meters, right positive. Esme checks t = 6. Which describes it then?

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

  4. 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

  5. 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.

    2, 4

  6. 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.

    1, 3

  7. 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.

    1, 5

  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?

    34

  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?

    20

  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?

    52