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Applied Mathematics 154 - A1 summary

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This is a summary of the first 6 weeks I’d work from semester 2 , term 3 . This summary helps you understand all the formulas needed to answer exercises and questions .

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Uploaded on
September 11, 2024
Number of pages
3
Written in
2024/2025
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Summary

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RECTILINEAR MOTION
N B FORMULAS DETERMININGWHICHFormulatouse
articlehasmass butsize is neglible supposeonlysvariablesarereferredto
onsiderscalarcomponents of avector v i v s t use
orarsonforvectors a v t or a s t use a
a aq g z
a vis uses
a v85 3 If morevariablesgivenbeledby
NEARMOTSON ads vav conditions
v3 v.si atcertaintime thepositiongivenuse

on sis.is in iiii iiiiiiiii
SPLACEMENT
as
sift RECT f LINEAR
STANCE s o
df.is MOTION
s AVERAGEvelocity
RAGEVELOCITY aug 8 velocitybothvectors
FOR
9 849 a
specificposition
My
v 9st
aug Sf
a I sea

VERAGE ACCELERATION aaug.BY
santaneous ACCELERATION a 8
naderivative of s
9 inmis findthepositions at t as it




si i i.n
a

INEMATIC EQUATIONS FORCONSTANT ACCELERATION


at i ian

RRATSC
MOTION
no continuous function todescribe theposition velocity orthe acceleration
OSITION TIME VELOCITYTIME ACCELERATION TIME GRAPHS

v Finavelocityfromgradient of position time graph or differentiate set
a 8 Find accelerationfromgradient ofvelocitytimegraph or differentiate vial
Judt as Findas fromareaunderthevelocitytimegraph orintegratevetsoverspecifiedtimeinterval
Sadt Dv FindDvfromareaunderthe accelerationtimegraph orintegrate act overspecifiedtimeinterval
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