IB A2.3 - Basic Kinematics

Get the Formative Assessment: FA02.3.docx

The Formative Assessment Solved:

1. A car has an acceleration of 1.20 m/s/s for 3.50 seconds, at the end of which it is going 24.0 m/s. What was its initial velocity?

(19.8 m/s)

2. A car moves 214 m with an acceleration of 4.80 m/s/s in 6.00 seconds. What was its final velocity?

(50.1 m/s)

3. A dragster starts from rest and moves 180. m in 4.30 seconds. What is its acceleration?

(19.5 m/s/s)

4. A bike coasts from 12.5 m/s to rest in a distance of 27.2 m. What is its acceleration?

(-2.87 m/s/s)

5. An airplane coasts with a uniform acceleration from 92.5 m/s to rest over a distance of 624 m. What was its velocity when it had covered only 200. meters of that distance?

(76.2 m/s - hint - the deceleration is -6.856 m/s/s - find that first)

Practice Problems

Practice for 2.3 .:. Get this handout: Worksheet-HowFar2.3.docx (Solution is a link to a video solution for that problem)

1. A Pirate Ship accelerates uniformly from 1.80 m/s to 5.60 m/s with an acceleration of 1.25 m/s/s. What was its displacement? Solution

2. A lemur going 3.45 m/s accelerates at 1.52 m/s/s for 3.18 s. What is its final velocity? Solution

3. A giant lizard stops in 5.85 m in 1.15 s. What was its acceleration? Solution

4. A tuna going 2.35 m/s accelerates at 0.208 m/s/s covering a distance of 45.0 m. What time did it take? Solution

5. A lemming speeds up from rest to 5.19 m/s in 2.80 s. What is its displacement during this time? Solution

6. An accident scene detective knows that a car with a deceleration of -7.14 m/s/s was brought to rest in 32.8 m. What was the initial velocity? Solution

7. What is the acceleration of an ATV that goes from 12.0 m/s to 7.50 m/s in 3.68 s? Solution

8. A XC runner accelerates uniformly for 8.20 s at 0.540 m/s/s having a final velocity of 7.32 m/s. What is their displacement during this time? Solution

9. A racecar accelerates at 5.13 m/s/s for 3.35 s covering a distance of 105 m. What was its initial velocity? Solution

10. A car avoiding an accident is brought to rest over a distance of 56.0 m in 5.12 s. What was its initial velocity? Solution

11. A baseball going 38.0 m/s decelerates to rest over a distance of 0.154 m. What was its deceleration? (It's big) Solution

12. A car goes from 27.2 m/s to 14.7 m/s in 6.23 s. What is its acceleration? Solution

13. A train going 45.0 m/s decelerates at -2.17 m/s/s for 17.9 s. What is its displacement during this time? Solution

14. A hamster going 2.7 m/s accelerates uniformly for 6.52 s, covering a distance of 23.0 m. What was its final velocity? (it's riding a hamster scooter) Solution

15. A car is going 15.0 m/s after having decelerated at -6.25 m/s/s over a distance of 52.0 m. What time did it take? Solution

16. A hot pocket accelerating at -9.81 m/s/s from rest falls downward -32.1 m. What is the final velocity? Solution

17. A car accelerates uniformly for 8.70 s with a final velocity of 31.5 m/s over a distance of 216 m. What was its initial velocity? Solution

18. A car that can brake at -8.92 m/s/s will take what time to decelerate from 33.1 m/s to 11.8 m/s? Solution

19. A rollercoaster car going 8.60 m/s decelerates at -0.215 m/s/s for 11.0 s. What was its displacement during this time? Solution

20. A space probe is going 615 m/s after having decelerated at -0.147 m/s/s over a distance of 29,100 m. What time did it take? Solution

Two-part kinematics problems:

21. A dragon accelerates from 1.13 m/s to 3.60 m/s in 4.13 seconds. Over what distance could it accelerate from rest to 6.85 m/s if it had the same acceleration? Solution

22. A car accelerates uniformly from rest, covering 65.0 m in 5.62 seconds. What time would it take the same car to go from 8.90 m/s to 29.4 m/s if it had the same acceleration? Solution

23. A runner covers 21.5 m accelerating uniformly from rest to 9.94 m/s. What was their speed when they had covered only 13.0 m? Solution

24. A train decelerates from 35.0 m/s to 22.0 m/s in 42.0 seconds. What time did it take it to cover 98.0 meters from the beginning? Solution

25. A car accelerates from rest to 23.0 m/s over a distance of 231 m. What time would it take it to accelerate from rest to 20.0 m/s if it accelerated at the same rate? Solution

The Instruction for this unit:

Velocity and acceleration: