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samenvatting fysica miv wiskunde: kinematica

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Samenvatting van de powerpoints van dit hoofdstuk voor het vak fysica miv wiskunde

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  • February 9, 2022
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  • 2020/2021
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Fysica miv wiskunde: fysica – KINEMATICA

= studie van de beweging van objecten

Beweging van een puntmassa
Snelheid van puntmassa

Verplaatsing langs y-as: ∆ x = x2-x1
Overeenkomstig tijdsinterval: ∆ t = t2-t1

∆x
Gemiddelde snelheid: ⟨ v ⟩ =
∆t
Als het startpunt in de oorsprong ligt: x = ⟨ v ⟩ t

∆ x dx
Ogenblikkelijke snelheid: v = lim =
∆ t →0 ∆ t dt

Versnelling
= hoe de snelheid verandert in de tijd
v 2−v 1 ∆ x
Gemiddelde versnelling: ⟨ a ⟩ = =
t 2−t 1 ∆t
dv d 2 x
Ogenblikkelijke versnelling: a = =
dt d t 2

Eenparig versnelde, rechtlijnige beweging
Rechtlijnige beweging met constante versnelling
Snelheid: v = v0 + at
Afgelegde weg: x = x0 + v0t + ½at2

Snelheid afleiden van functie van positie
V2 = v02 + 2a(x-x0)

Snelheid en versnelling in 3D
∆ s⃗
Gemiddelde snelheid: ⟨ v ⟩ = waarbij ⃗s de afgelegde weg is
∆t
∆ ⃗s d ⃗s
Ogenblikkelijke snelheid: ⃗v = lim =
∆ t →0 ∆ t dt

Componenten van de vectorsnelheid (analoog voor vectorversnelling)
d ⃗x d ⃗y d ⃗z
vx=
⃗ v y=
⃗ v z=

dt dt dt
Ontbinding: ⃗v = ⃗ vx + ⃗vy + ⃗
vy
Grootte v = √ v x + v y +v z
2 2 2




Eenparig versnelde beweging
Vlakke beweging met constante versnelling
- Beweging afzonderlijk in x-richting en y-richting bestuderen
- Als a⃗ constant is, dan zijn ⃗
a x en ⃗
a y dat ook

Kinematica - 1

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