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# Kinematics

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### Kinematics

1. 1. Kinematics <br />Notes<br />a = v - ut<br />v2 = u2 + 2as<br />s = ut + ½ at2<br />vs<br />tt<br />Velocity-time graphGradient = accelerationArea under graph = displacementDisplacement-time graphGradient = velocity<br />Workout Questions<br /><ul><li>A stone is thrown with a velocity of 10m/s to a person standing 5m vertically above. What is the velocity of the stone when the man catches it?
2. 2. 0 m/s
3. 3. 14.14 m/s
4. 4. 20 m/s
5. 5. 5 m/s
6. 6. A car rolls down a hill from rest. If it travels 50m in the first 5 seconds, what is its acceleration?
7. 7. 4 m/s2
8. 8. 10 m/s2
9. 9. – 10 m/s2
10. 10. – 4 m/s2
11. 11. Ball X is dropped from the top of a 10 storey building. Ball Y is dropped from the middle of the same building. What is the same for both ball X and ball Y?
12. 12. Acceleration
13. 13. Time taken to hit the ground
14. 14. Final velocity before they hit the ground
15. 15. Displacement
16. 16. Ball X undergoes free fall for 5 seconds. The total distance it travels is
17. 17. Impossible to tell
18. 18. 5 m
19. 19. 12.5 m
20. 20. 25 m
21. 21. Ball Y undergoes free fall for twice as long as ball X. How much further does ball Y travel than ball X?
22. 22. They travel the same distance
23. 23. Y travels twice the distance of X
24. 24. Y travels four times the distance of X
25. 25. Y travels ten times the distance of X
26. 26. When does terminal velocity occur?
27. 27. When the mass of an object is constant
28. 28. When an extreme force is acting on an object
29. 29. When the acceleration of the object is larger than 10 m/s2
30. 30. When the net resultant force acting on the object is zero
31. 31. A trolley at the middle of a frictionless slope is given an initial push up the slope. It moves up, and then rolls back down. Sketch the velocity time graph of the trolley and indicate how the displacement of the trolley can be found using the graph.
32. 32. A car starts from rest and moves with increasing acceleration for 10s. It then moves with a constant velocity of 80 km/h before slowing to a stop with constant deceleration of 15km/h2.
33. 33. Sketch the velocity-time graph of the car’s motion
34. 34. Sketch the displacement-time graph of the car’s motion
35. 35. How long did the car take to stop?
36. 36. The velocity-time graph below shows the movement of car X and car Y from the same point.
37. 37. vt
38. 38. 100X
39. 39. 80
40. 40. 5055Y
41. 41. 2 4 710
42. 42. At which points are both cars traveling at the same speed?
43. 43. What are the accelerations of both cars at these two points?
44. 44. What is the difference in distance traveled by the cars?