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Robotics Worksheet: Stopping Distance

Robotics lesson 27: Stopping in time · Set 913 · 40 questions
TalentJR

Robot tip (Room ÷ speed): Room = distance now − gap to keep; time = room ÷ speed. Stopping point = distance when braking starts − braking distance. Distance between sensor checks = speed × time between checks (ms ÷ 1000 for seconds).

NameDateTime takenScore ___ / 40
  1. 1.🛑 A robot is 260 cm from a wall and drives towards it at 20 cm per second. It must stop 20 cm before the wall. For how many seconds can it drive?
  2. 2.🛑 A robot is 45 cm from a wall and drives towards it at 5 cm per second. It must stop 30 cm before the wall. For how many seconds can it drive?
  3. 3.🛑 Why can a moving robot not stop instantly? (a) brakes are magic (b) it keeps moving a bit (c) it is too light (d) it likes to slide
  4. 4.🛑 A robot is 80 cm from a wall and drives towards it at 5 cm per second. It must stop 30 cm before the wall. For how many seconds can it drive?
  5. 5.🛑 A robot needs 90 cm to stop once it brakes. It starts braking when its sensor sees a wall 140 cm away. How far from the wall does it stop (in cm)?
  6. 6.🛑 A robot needs 5 cm to stop once it brakes. It starts braking when its sensor sees a wall 40 cm away. How far from the wall does it stop (in cm)?
  7. 7.🛑 A robot moves 10 cm every second and checks its distance sensor every 500 ms. How far does it move between two checks (in cm)? =
  8. 8.🛑 A robot is 90 cm from a wall. It drives at 20 cm per second until it is 50 cm away, then slows to 10 cm per second and stops when it is 10 cm away. How many seconds does the whole trip take?
  9. 9.🛑 A robot needs 10 cm to stop once it brakes. It starts braking when its sensor sees a wall 40 cm away. How far from the wall does it stop (in cm)?
  10. 10.🛑 A robot moves 40 cm every second and checks its distance sensor every 250 ms. How far does it move between two checks (in cm)? =
  11. 11.🛑 A robot needs 35 cm to stop once it brakes. It starts braking when its sensor sees a wall 40 cm away. How far from the wall does it stop (in cm)?
  12. 12.🛑 A robot needs 5 cm to stop once it brakes. It starts braking when its sensor sees a wall 50 cm away. How far from the wall does it stop (in cm)?
  13. 13.🛑 A robot needs 80 cm to stop once it brakes. It starts braking when its sensor sees a wall 100 cm away. How far from the wall does it stop (in cm)?
  14. 14.🛑 A robot is 260 cm from a wall. It drives at 30 cm per second until it is 80 cm away, then slows to 5 cm per second and stops when it is 10 cm away. How many seconds does the whole trip take?
  15. 15.🛑 A robot is 65 cm from a wall and drives towards it at 5 cm per second. It must stop 30 cm before the wall. For how many seconds can it drive?
  16. 16.🛑 A robot needs 15 cm to stop once it brakes. It starts braking when its sensor sees a wall 80 cm away. How far from the wall does it stop (in cm)?
  17. 17.🛑 A robot needs 10 cm to stop once it brakes. It starts braking when its sensor sees a wall 60 cm away. How far from the wall does it stop (in cm)?
  18. 18.🛑 A faster robot needs a … distance to stop. (a) shorter (b) zero (c) negative (d) longer
  19. 19.🛑 A robot needs 20 cm to stop once it brakes. It starts braking when its sensor sees a wall 50 cm away. How far from the wall does it stop (in cm)?
  20. 20.🛑 A robot needs 30 cm to stop once it brakes. It starts braking when its sensor sees a wall 70 cm away. How far from the wall does it stop (in cm)?
  21. 21.🛑 A robot moves 50 cm every second and checks its distance sensor every 100 ms. How far does it move between two checks (in cm)? =
  22. 22.🛑 A robot needs 45 cm to stop once it brakes. It starts braking when its sensor sees a wall 50 cm away. How far from the wall does it stop (in cm)?
  23. 23.🛑 A robot is 55 cm from a wall and drives towards it at 5 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  24. 24.🛑 A robot moves 30 cm every second and checks its distance sensor every 500 ms. How far does it move between two checks (in cm)? =
  25. 25.🛑 A robot is 90 cm from a wall and drives towards it at 10 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  26. 26.🛑 A robot is 300 cm from a wall. It drives at 50 cm per second until it is 50 cm away, then slows to 5 cm per second and stops when it is 10 cm away. How many seconds does the whole trip take?
  27. 27.🛑 A robot is 70 cm from a wall and drives towards it at 5 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  28. 28.🛑 A robot is 110 cm from a wall and drives towards it at 20 cm per second. It must stop 30 cm before the wall. For how many seconds can it drive?
  29. 29.🛑 A robot is 70 cm from a wall and drives towards it at 15 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  30. 30.🛑 A robot is 155 cm from a wall. It drives at 25 cm per second until it is 80 cm away, then slows to 10 cm per second and stops when it is 20 cm away. How many seconds does the whole trip take?
  31. 31.🛑 When should a robot start slowing down? (a) never (b) after hitting the wall (c) only when it is off (d) before it is too close
  32. 32.🛑 A robot is 55 cm from a wall and drives towards it at 15 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  33. 33.🛑 A robot is 330 cm from a wall. It drives at 50 cm per second until it is 80 cm away, then slows to 10 cm per second and stops when it is 10 cm away. How many seconds does the whole trip take?
  34. 34.🛑 A robot is 20 cm from a wall and drives towards it at 5 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  35. 35.🛑 A robot is 300 cm from a wall. It drives at 30 cm per second until it is 60 cm away, then slows to 5 cm per second and stops when it is 10 cm away. How many seconds does the whole trip take?
  36. 36.🛑 A robot is 30 cm from a wall and drives towards it at 5 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  37. 37.🛑 A robot moves 10 cm every second and checks its distance sensor every 100 ms. How far does it move between two checks (in cm)? =
  38. 38.🛑 A robot needs 50 cm to stop once it brakes. It starts braking when its sensor sees a wall 130 cm away. How far from the wall does it stop (in cm)?
  39. 39.🛑 A robot is 160 cm from a wall and drives towards it at 15 cm per second. It must stop 10 cm before the wall. For how many seconds can it drive?
  40. 40.🛑 A robot moves 10 cm every second and checks its distance sensor every 200 ms. How far does it move between two checks (in cm)? =

Answer key

  1. 12
  2. 3
  3. it keeps moving a bit
  4. 10
  5. 50
  6. 35
  7. 5
  8. 6
  9. 30
  10. 10
  11. 5
  12. 45
  13. 20
  14. 20
  15. 7
  16. 65
  17. 50
  18. longer
  19. 30
  20. 40
  21. 5
  22. 5
  23. 9
  24. 15
  25. 8
  26. 13
  27. 12
  28. 4
  29. 4
  30. 9
  31. before it is too close
  32. 3
  33. 12
  34. 2
  35. 18
  36. 4
  37. 1
  38. 80
  39. 10
  40. 2

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