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Topic 2 - Mechanics 2.1 - Kinematics
Velocity, Speed, Acceleration ,[object Object]
There are a number of key terms to define; ,[object Object]
Velocity – This is the speed of an object in a given direction ,[object Object],[object Object]
All three of these quantities are vectors.
Average Speed and Velocity ,[object Object],[object Object]
Average Speed and Velocity ,[object Object]
A ball that travels at 10ms -1  for 15s before striking a wall and rebounding at 45 o  to the original path at 8ms -1  for 5s.
A 400m runner on a standard athletics track that completes the race in 52s.
Instantaneous Motion ,[object Object]
Instantaneous Motion ,[object Object]
Motion Graphs ,[object Object]
Take suitable measurements to construct the corresponding velocity-time and acceleration-time graphs s /m 20.00 33.75 45.00 53.75 60.00 63.75 65.00 63.75 60.00 53.75 45.00 33.75 20.00 3.75 t /s 0 1 2 3 4 5 6 7 8 9 10 11 12 13
Uniform Acceleration ,[object Object]
Consider the velocity-time graph for this object.
Let the object change velocity from (t 1 ,u) to (t 2 ,v) v t (t 1 ,u) (t 2 ,v)
Uniform Acceleration ,[object Object],v t (t 1 ,u) (t 2 ,v)
Uniform Acceleration ,[object Object],v t (t 1 ,u) (t 2 ,v)
Uniform Acceleration ,[object Object],v t (t 1 ,u) (t 2 ,v)
Uniform Acceleration ,[object Object],v t (t 1 ,u) (t 2 ,v)
Uniform Acceleration ,[object Object],v t (t 1 ,u) (t 2 ,v)
Uniform Acceleration - Summary ,[object Object],v t (t 1 ,u) (t 2 ,v)

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2.1 linear motion

  • 1. Topic 2 - Mechanics 2.1 - Kinematics
  • 2.
  • 3.
  • 4.
  • 5. All three of these quantities are vectors.
  • 6.
  • 7.
  • 8. A ball that travels at 10ms -1 for 15s before striking a wall and rebounding at 45 o to the original path at 8ms -1 for 5s.
  • 9. A 400m runner on a standard athletics track that completes the race in 52s.
  • 10.
  • 11.
  • 12.
  • 13. Take suitable measurements to construct the corresponding velocity-time and acceleration-time graphs s /m 20.00 33.75 45.00 53.75 60.00 63.75 65.00 63.75 60.00 53.75 45.00 33.75 20.00 3.75 t /s 0 1 2 3 4 5 6 7 8 9 10 11 12 13
  • 14.
  • 15. Consider the velocity-time graph for this object.
  • 16. Let the object change velocity from (t 1 ,u) to (t 2 ,v) v t (t 1 ,u) (t 2 ,v)
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
  • 22.
  • 23.
  • 24. A ball is rolled across a rough table and covers a distance of 2.37m in 16.3s before coming to rest. What is the acceleration on the ball due to the friction (assume constant) and what was the ball's initial speed?
  • 25.
  • 26. A ball is kicked across smooth ground at a wall 15m away with speed 20ms -1 . The ball rebounds with speed 16ms -1 . The ball squashes by 20mm when in contact with the wall. Calculate the average acceleration exerted by the wall on the ball.
  • 27.
  • 28. This is the same value as the Earth's gravitational field strength and is due to the gradient of the gravitational field at this point.
  • 29. In Physics we approximate any small, smooth object falling in air as having an acceleration of 9.81ms -2 Free Fall
  • 30.
  • 31. A ball is thrown vertically upwards with an initial speed of 2.5ms -1 . Calculate the maximum height of the ball and the total time of flight.
  • 32. A 2kg ball rolls down a smooth slope that is 5m long. Calculate the speed of the ball as it reaches the bottom of the slope.
  • 33.
  • 34. This means that as the object travels faster, the resistive forces also increase.
  • 35.
  • 36. There will be no downwards acceleration.
  • 37.
  • 38.
  • 39. What does the velocity of A look like compared to the Universe?
  • 40. What does the same velocity look like when observed from B?
  • 41.
  • 42.
  • 43. Be careful with calculations: v is a vector so direction must be accounted for!
  • 44.
  • 45. Car B is travelling with velocity 35ms -1 due north.
  • 46. Car C is travelling with velocity 50ms -1 due South.
  • 47.
  • 48. The velocity of A relative to C
  • 49. The velocity of B relative to C
  • 50. The velocity of C relative to B
  • 51. The velocity of D relative to C
  • 52. The velocity of A relative to D