Kinematics theory

Kinematics

 

Kinematics is the branch of classical mechanics that describes the motion of bodies (objects) and systems (groups of objects) without consideration of the forces that cause the motion.

When we study the motion of a body, we always have to do it respect to a Reference System, which is a point or set of points through which we describe the movement that a body has.
We say that a body is moving respect to a Reference System when it changes its position over the time, if it doesn’t change, we will say that it is in repose. The movement is relative, that is, it will depend on the reference system we choose.
If we join all the points where passes a body, we obtain a curve called trajectory, on which we can determine the position of a point that after join it with OX and OY axes, we obtain as result a vector called position vector.

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Mechanics | Kinematics

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The length or module of that position vector is calculated by:

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FORMULA SUMMARY:

 

Scalar average velocity

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Bioprofe |Kinematics theory| 03



 

Scalar instant velocity

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Vectorial average velocity

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Vectorial instant velocity

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Average acceleration

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Bioprofe |Kinematics theory| 07



 

Instant acceleration

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Bioprofe |Kinematics theory| 08



 

Tangential acceleration

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Bioprofe |Kinematics theory| 09



 

Normal acceleration

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Bioprofe |Kinematics theory| 10



 

Rectilinear uniform motion

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Rectilinear uniformly varied motion

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Free fall motion

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Angular magnitudes

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Angular velocity

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Angular acceleration

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Uniform circular motion (T = period ; f = frequency)

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Bioprofe |Kinematics theory| 17

Bioprofe |Exams with exercises about physics, chemistry and mathematics | Mechanics | Kinematics

Bioprofe |Kinematics theory| 18



 

Uniform circular varied motion

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Vibratory harmonic motion (s = elongation ; A = amplitude ; ω = pulsation)

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COMPOSITION OF MOVEMENTS

 

Vertical launch of projectiles

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Horizontal launch of projectiles

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Bioprofe |Kinematics theory| 22



 

Oblique launch of projectiles
 

Trajectory equation

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Bioprofe |Kinematics theory| 23



 

Maximum Height

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Final scope

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