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Mastering Kinematics: A Fun Guide to the SUVAT Equations

Dive into the exciting world of kinematics with our catchy guide on the SUVAT equations! This fun rap covers everything you need to know about displacement, velocity, acceleration, and time—parameters that are fundamental in understanding motion. With clear explanations and memorable formulas like ( v = u + at ) and ( S = ut + frac{1}{2}at^2 ), you’ll be able to solve problems with ease. Embrace the mechanics behind mega-parsec galaxies and nanobot movements as you learn kinematics in an engaging way!

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Mastering Kinematics: A Fun Guide to the SUVAT Equations

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Presentation Transcript

  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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