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SUVAT - the calculato
How it worksSUVAT uses a bank of 24 equations derived from theformulae! These equations are valid for motion in onconstant acceleration according to "ewtonian mechcombined and e$tended to describe motion in more
SUVAT anal%ses the results of all 24 &ossible equatio&ossible answers could e$ist 'ie# in the case of a soluchecks to see if one or other is ruled out b% a differeshows both solutions! *here a contradiction is founreturns +, . +# as this im&lies there was a fundamoriginal results((! '"ote/ 0t is &ossible for an inconsisto return , . if it doesn+t cause inconsistencies i
(eg# at what time is a ball# thrown into the air# e$actl%two &ossible moments# both on the wa% u& and on th((eg# an ob3ect+s s&eed increases while its accelerati(((eg# where the average s&eed gives # but the dista
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SU$"% lists the formulae and when each may be used. &esof findin perpendicular components of a force (or any vector
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original kinematicsdimension under
nics# but can beimensions!
ns# and where twotion to a quadratic()#t equation# and if not
in the answers# SUVATntal inconsistenc% in thetenc% in the in&ut data not
the results((()
1m above the ground Ate wa% down!n remains at !ce is not!
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SUVAT - the calc5is&lacement 0nitial Velocit% 6inal Velocit%
s u vUser entry:
Units: m m7s m7sCalculated:
Units: m m7s m7s % o a
l t e r u n
i t s , c
l i c k
f o r m o r e o p
t i o n s .
8) 0f in&ut data is inconsistent# SUVAT usu2) SUVAT will give answers correct to 1 de3) The SUVAT equations are a mathematical modethe original problem for the correct solution. f !oget a wrong answer.
Click to reset values and units
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lator Acceleration Time
a t
m7s9 s
m7s9 s
Don't forget: theseare all #ectorquantities - in onedimension all thismeans is that wehave a positive anda negative
direction (indicatedby a plus or minussign, sensiblyenough) $on%tignore direction&
ll% returns +, . +!imal &laces!l, and must be interpreted within the context ofu as" a calculator the wrong question, !ou will
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SUVAT - the calc5is&lacement 0nitial Velocit% 6inal Velocit%
s u vUser entry:
Units: m m7s m7sCalculated:
Units: m m7s m7s % o a
l t e r u n
i t s , c
l i c k
f o r m o r e o p
t i o n s .
8) 0f in&ut data is inconsistent# SUVAT usu2) SUVAT will give answers correct to 1 de3) The SUVAT equations are a mathematical modethe original problem for the correct solution. f !oget a wrong answer.
Click to reset values and units
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lator Acceleration Time
a t
m7s9 s
m7s9 s
Don't forget: theseare all #ectorquantities - in onedimension all thismeans is that wehave a positive anda negativedirection (indicatedby a plus or minussign, sensiblyenough) $on%tignore direction&
ll% returns +, . +!imal &laces!l, and must be interpreted within the context ofu as" a calculator the wrong question, !ou will
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SUVAT - the calc5is&lacement 0nitial Velocit% 6inal Velocit%
s u vUser entry:
Units: m m7s m7sCalculated:
Units: m m7s m7s % o a
l t e r u n
i t s , c
l i c k
f o r m o r e o p
t i o n s .
8) 0f in&ut data is inconsistent# SUVAT usu2) SUVAT will give answers correct to 1 de3) The SUVAT equations are a mathematical modethe original problem for the correct solution. f !oget a wrong answer.
Click to reset values and units
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lator Acceleration Time
a t
m7s9 s
m7s9 s
Don't forget: theseare all #ectorquantities - in onedimension all thismeans is that wehave a positive anda negativedirection (indicatedby a plus or minussign, sensiblyenough) $on%tignore direction&
ll% returns +, . +!imal &laces!l, and must be interpreted within the context ofu as" a calculator the wrong question, !ou will
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The SUVAT ,quations The SUVAT ,quations
s 'isplacement m s 'isplacement m
u Initial velocity u Initial velocityv inal velocity v inal velocitya "cceleration a "ccelerationt %ime s t %ime s
ote* ote*
,quation :uantities involved ,quation :uantities involvedv + u at s u v a t v + u at s u v a t- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
s u v a t s u v a t
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -s u v a t s u v a t
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -s + t(u v) s u v a t s + t(u v) s u v a t- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
s u v a t s u v a t
!lso called the "inematic e#uations, these are used for describing motion whereacceleration is constant
!lso called the "inematic e#uations, these are used for describing motion whereacceleration is constant
ms -/ ms -/
ms -/ ms -/
ms -0 ms -0
Displacement, velocity and acceleration are all vector #uantities, meaning theyhave both a magnitude and a direction $n one dimensional "inematics (assumingall motion occurs in a straight line), a ll this means is that each #uantity may beeither positive or negative - ma"e sure you get them right, especially if, for instance,acceleration is acting against the direction of motion (eg something being thrownupwards)
Displacement, velocity and acceleration are all vector #uantities, meaning theyhave both a magnitude and a direction $n one dimensional "inematics (assumingall motion occurs in a straight line), all this means is that each #uantity may beeither positive or negative - ma"e sure you get them right, especially if, for instance,acceleration is acting against the direction of motion (eg something being thrownupwards)
$ f y o u
h a v e a
t l e a s t
% o
f t h e
&
# u a n
t i t i e s , a n
d r e # u i r e o n e o
f t h e
r e m a
i n i n g o n e s ,
f i n d t h e e # u a
t i o n
t h a
t
i n v o
l v e s a
l l ' o
f t h e m ,
s u b s t
i t u t e i n
v a l u e s a n
d r e a r r a n g e
f o r
t h e a n s w e r
$ f y o u
h a v e a
t l e a s t
% o
f t h e
&
# u a n
t i t i e s , a n
d r e # u i r e o n e o
f t h e
r e m a
i n i n g o n e s ,
f i n d t h e e # u a
t i o n
t h a
t
i n v o
l v e s a
l l ' o
f t h e m ,
s u b s t
i t u t e i n
v a l u e s a n
d r e a r r a n g e
f o r
t h e a n s w e r
s + vt - at 0 s + vt - at 0
s + ut at 0 s + ut at 0
v0 + u 0 0as v 0 + u 0 0as
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esolving 6orces esolving 6orces
1 . 1 .
6 ; 6 ;6sin< ;sin1 6sin< ;sin1
' ( ' (2 2
6cos< ;cos1 6cos< ;cos1' .*+ - ' .*+ -
6sin= > ?sin@ - H 6sin= > ?sin@ - H
6 6 3 ? 3 ?
4 4
?cos@ - 6cos= ?cos@ - 6cos=H H
1 . 1sin4 > 4sin1 - 1 . 1sin4 > 4sin1 - ' /. 0 - ' /. 0 -
1 14 4
4cos1 - 1cos4 4cos1 - 1cos4' 1.3(+- ' 1.3(+-
!ny force can be resolved (bro"en down into) two perpendicular components (usually hori ontal andvertical) he effect of the original force is e#uivalent tothe effect of these two resultant forces
!ny force can be resolved (bro"en down into) two perpendicular components (usually hori ontal andvertical) he effect of the original force is e#uivalent tothe effect of these two resultant forces
56 o 56 o
wo forces acting in the same (or e*actly opposite)directions can be combined, and in the same way thehori ontal and vertical components of a number ofdifferent forces may be combined
wo forces acting in the same (or e*actly opposite)directions can be combined, and in the same way thehori ontal and vertical components of a number ofdifferent forces may be combined
78 o 78 o
56 o 56 o
ote* the numbers are ne ative, which means the forces areactin in the opposite direction to the arrows.
ote* the numbers are ne ative, which means the forces areactin in the opposite direction to the arrows.
+nce the hori ontal and vertical component have been found, ythagoras' theorem and right-angletrigonometry can calculate the magnitude and direction of the complete resultant force
+nce the hori ontal and vertical component have been found, ythagoras' theorem and right-angletrigonometry can calculate the magnitude and direction of the complete resultant force