Position, velocity, speed and acceleration

Answer Key - Grade 12 Math Worksheet - Building Confidence

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

1. 1.

   A toy cart is at s(t) = 2t³ − 9t² + 12t meters after t seconds. Ari finds its velocity at t = 4. What is it, in m/s?

   36
2. 2.

   A toy train is at s(t) = 2t³ + 3t² − 12t meters after t seconds. Esme finds its velocity at t = 1. What is it, in m/s?

   0
3. 3.

   A sled on a track is at s(t) = 4t³ − 3t² − 6t meters after t seconds. Jun finds its velocity at t = 2. What is it, in m/s?

   30
4. 4.

   A robot has velocity v(t) = 3t² − 5t + 4 m/s. Kira finds its acceleration at t = 2. What is it, in m/s²?

   7
5. 5.

   A toy train has velocity v(t) = −2t² + 8t + 1 m/s. Luz finds its acceleration at t = 1. What is it, in m/s²?

   4
6. 6.

   A sled on a track has velocity v(t) = 4t² − 7t + 3 m/s. Milo finds its acceleration at t = 2. What is it, in m/s²?

   9
7. 7.

   A toy cart has velocity v(t) = 5t² + 2t − 6 m/s. Noah finds its acceleration at t = 3. What is it, in m/s²?

   32
8. 8.

   A sled on a track has velocity v(t) = t² − 4t − 1 m/s, with right as positive. Ren checks t = 5. Which describes the motion?

   • moving left, speed 4 m/s
   • moving right, speed −4 m/s
   • moving right, speed 6 m/s
   • moving right, speed 4 m/s
9. 9.

   A toy cart has velocity v(t) = −2t + 8 m/s, with right as positive. Tala checks t = 6. Which describes the motion?

   • moving right, speed 4 m/s
   • moving left, speed 4 m/s
   • moving left, speed −4 m/s
   • moving left, speed 2 m/s
10. 10.

    A robot has velocity v(t) = 3t² − 12 m/s, with right as positive. Zee checks t = 1. Which describes the motion?

    • moving left, speed 6 m/s
    • moving right, speed 9 m/s
    • moving left, speed 9 m/s
    • moving left, speed −9 m/s