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The Kinematic Rap

The Kinematic Rap. Now, we’ve got a ripper topic and I’m sure you will agree. S, u, v, a, t. That this is mighty handy, it’s our. S, u, v, a, t. Mega-parsec galaxies and nanobot mechanics All obey the rules of the “ Suvat ” kinematics. S. S is for displacement, distance with direction.

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The Kinematic Rap

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  1. The Kinematic Rap

  2. Now, we’ve got a ripper topic and I’m sure you will agree

  3. S, u, v, a, t That this is mighty handy, it’s our S, u, v, a, t

  4. Mega-parsec galaxies and nanobot mechanics All obey the rules of the “Suvat” kinematics

  5. S S is for displacement, distance with direction

  6. S a a is for acceleration, symbol-word connection

  7. S , u, v, a u and v: velocity; at the start and at the end

  8. S , u, v, a, t And t is for the time elapsed I hope you comprehend

  9. v a Vel (m/s) 1 u S t Time (s) There are four equations stemming from a handy chart

  10. v a Vel (m/s) 1 u S t Time (s) And two simple rules that in form five you should have learned by heart

  11. v a Vel (m/s) 1 u S t Time (s) The chart is a generic graph of velocity and time

  12. v a Vel (m/s) 1 u S t Time (s) “a” is the slope and S the area underneath the line

  13. Now if “a” is the slope And on this we all agree

  14. v = u + at Then v will equal u plus the extra a times t

  15. v = u + at And if you square this formula, the answer you can guess

  16. v2 = u2 + 2aS Is v squared equals u squared plus the extra 2aS

  17. v a Vel (m/s) 1 u S t Time (s) Displacement is the area that’s underneath the line

  18. 1 v a Vel (m/s) vav u S S t Time (s) And therefore av’rage speed multiplied by elapsed time

  19. If you put that into maths then ev’ryone can see

  20. S = 1/2.t.(u+v) Displacement, S, is equal to a half t (u plus v)

  21. But displacement can be looked at from another sort of angle

  22. 1 v a Vel (m/s) u S t Time (s) The area under is a block plus the top triangle

  23. If you symbolise that idea, with math’matics unimpaired

  24. S = ut + 1/2at2 S will equal ut plus the term half a t squared*

  25. v = u + at v2 = u2 + 2aS S = 1/2.t.(u+v) S = ut + 1/2at2 So there it is and there they are, the handy four equations

  26. v = u + at v2 = u2 + 2aS S = 1/2.t.(u+v) S = ut + 1/2at2 And you can choose the best one for all the situations

  27. a is constant When acceleration’s even. Yes, you can be quite emphatic

  28. v = u + at v2 = u2 + 2aS S = 1/2.t.(u+v) S = ut + 1/2at2 You’ve got your head around these four equations kinematic!

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