This document provides an introduction to kinematics, which is the branch of classical mechanics that describes the motion of points, bodies, and systems of bodies without considering the causes of motion. It covers topics such as scalars and vectors, position and displacement, velocity, acceleration, linear motion, and circular motion. Key concepts discussed include the definitions of displacement, velocity, acceleration, and their relationships. Equations of motion for uniformly accelerated linear and circular motion are also presented.

1. 1. Kinematics
1. Introduction to Physics
2. Scalars & vectors
3. Position & displacement
4. Velocity
5. Aceleration
6. Linear motions
7. Circular motion
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2. 1. Physics seems to be…
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3. … but it could be…
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4. 1. Physics
 Same laws explain 42 orders og
magnitude
 http://apod.nasa.gov/apod/ap12031
2.html

5. 2. Physical quantity
o Definition
o Uncertainty: objects
cannot be measured as
accurate as you want
o “A measurement
without knowing its
uncertainty is
meaningless” W.
Lewin
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6. 2. SI de unidades
Powers of ten
Fundamental quantities
Derived quantities
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7. 2. Scalars & vectors
 Scalar: fully determined by its
magnitude
 Vector: determined by its
magnitude and direction
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8. 3. Kinematics
o Definition
Research question
Does a book and a sheet of paper
fall down to the ground at the
same rate?
Aristotle vs. Galileo
https://www.youtube.com/watc
h?v=5C5_dOEyAfk
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science-module-9-labs/

9. 3. Position & displacement
Where are you?
Frame of reference
Position: distance from the origin of our
frame of reference to our placement GPS (m)
Displacement: distance from our initial
position to the final one (m)
Distance vs. displacement
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10. 4. Velocity
 Are you moving, Where? How fast?
 Displacement / time
 Units: m/s
 Velocity vs. Speed
 Can you feel you velocity?
v

=
∆r

∆t
Velocity =
Displacement
Time

11. 5. Acceleration
Types of motion?
Change of velocity: magnitud
& direction
Units: m/s2
Can you feel your acceleration?
a =
Change_of _ velocity
Time
a

=
∆v

∆t

12. 6. Types of motion
According to its path
o Linear
o Circular
o Parabollic

13. 6. Uniform Linear Motion
No acceleration
o Same direction
o Same speed
Equation
s = so
+ v.t
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14. 6. Linear Uniformly Accelerated Motion
o Same direction
o Uniform change of speed
Equations
s = so
+ vo
.t + ½ a.t2
v = vo
+ a.t
v2
= vo
2
+ 2.a.s
© www.physicsclassroom.com

15. 4. Circular motion
o Constant radius
o Centre: origin of the
frame of reference
o Angle, ϕ
o Radian: angle which has
the length of its arc
equals to its radius
s = φ.R

16. 4. Uniform circular motion
o Same rate, covering the
same angle per unit of time
o Angular speed
d
dt
ϕ
ω =
ϕ = ϕo +ω.t
s =ϕ.R v = ω.R

17. 7. Period & frequency
o Period: time taken for a body to complete a whole
circumpherence T (seconds)
o Frequency: number of revolutions per unit of time.
Recyprocal of period. ν Hertz (Hz) equivale a s-1
.
2
2
T
π
ω πν= =
1
T
ν
=

18. 7. Circular motion
 Change of direction: centripetal
acceleration.
 Video
1https://www.youtube.com/watch?
t=69&v=UbjV9Ny-Tk4
 Video 2:
https://www.youtube.com/watch?
v=WkYh1qEuf-I
 Roundabout:
https://www.youtube.com/watch?
v=gLP0WSG-vas
 Rotation of a glass of water:
https://www.youtube.com/watch?
v=L6-kn2tB-9E
© http://fisica.laguia2000.com
2
n
v
a
R
=

19. 8. Misconceptions
© Lewis C. Epstein

20. 8. Misconceptions
© Lewis C. Epstein