Worksheet

Position, velocity, speed and acceleration

Grade 12 Math Worksheet - Challenge Me

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

  1. A robot is at s(t) = t³ − 9t² + 24t meters for t > 0. Bo finds when it is speeding up. Which is right?

    • t > 3
    • 2 < t < 3 or t > 4
    • 2 < t < 4
    • t > 4

  2. A toy train is at s(t) = t³ − 6t² + 9t meters for t > 0. Esme finds when it is speeding up. Which is right?

    • 1 < t < 3
    • t > 3
    • t > 2
    • 1 < t < 2 or t > 3

  3. A sled on a track is at s(t) = t³ − 12t² + 36t meters for t > 0. Jun finds when it is speeding up. Which is right?

    • 2 < t < 4 or t > 6
    • 2 < t < 6
    • t > 4
    • t > 6

  4. A sled on a track is at s(t) = t³ − 9t² + 15t meters. It stops twice. Kira finds its acceleration at the second stop. What is it, in m/s²?

  5. A toy cart is at s(t) = t³ − 9t² + 24t meters. It stops twice. Luz finds its acceleration at the second stop. What is it, in m/s²?

  6. A robot is at s(t) = t³ − 12t² + 21t meters. It stops twice. Milo finds its acceleration at the second stop. What is it, in m/s²?

  7. A toy train is at s(t) = t³ − 15t² + 48t meters. It stops twice. Noah finds its acceleration at the second stop. What is it, in m/s²?

  8. A toy train is at s(t) = 2t³ − 15t² + 24t meters. Pia finds its speed at t = 2. What is it, in m/s?

  9. A sled on a track is at s(t) = 2t³ − 15t² + 20t meters. Ren finds its speed at t = 3. What is it, in m/s?

  10. A toy cart is at s(t) = 2t³ − 15t² + 10t meters. Tala finds its speed at t = 1. What is it, in m/s?

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Position, velocity, speed and acceleration

Answer Key - Grade 12 Math Worksheet - Challenge Me

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

  1. A robot is at s(t) = t³ − 9t² + 24t meters for t > 0. Bo finds when it is speeding up. Which is right?

    • t > 3
    • 2 < t < 3 or t > 4
    • 2 < t < 4
    • t > 4

  2. A toy train is at s(t) = t³ − 6t² + 9t meters for t > 0. Esme finds when it is speeding up. Which is right?

    • 1 < t < 3
    • t > 3
    • t > 2
    • 1 < t < 2 or t > 3

  3. A sled on a track is at s(t) = t³ − 12t² + 36t meters for t > 0. Jun finds when it is speeding up. Which is right?

    • 2 < t < 4 or t > 6
    • 2 < t < 6
    • t > 4
    • t > 6

  4. A sled on a track is at s(t) = t³ − 9t² + 15t meters. It stops twice. Kira finds its acceleration at the second stop. What is it, in m/s²?

    12

  5. A toy cart is at s(t) = t³ − 9t² + 24t meters. It stops twice. Luz finds its acceleration at the second stop. What is it, in m/s²?

    6

  6. A robot is at s(t) = t³ − 12t² + 21t meters. It stops twice. Milo finds its acceleration at the second stop. What is it, in m/s²?

    18

  7. A toy train is at s(t) = t³ − 15t² + 48t meters. It stops twice. Noah finds its acceleration at the second stop. What is it, in m/s²?

    18

  8. A toy train is at s(t) = 2t³ − 15t² + 24t meters. Pia finds its speed at t = 2. What is it, in m/s?

    12

  9. A sled on a track is at s(t) = 2t³ − 15t² + 20t meters. Ren finds its speed at t = 3. What is it, in m/s?

    16

  10. A toy cart is at s(t) = 2t³ − 15t² + 10t meters. Tala finds its speed at t = 1. What is it, in m/s?

    14