Suvat Equations

8/10/2019 Suvat Equations

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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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s u vUser entry:



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 .




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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&



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s u vUser entry:



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 .




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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&



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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

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f t h e

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# u a n

t i t i e s , a n

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f t h e

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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

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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

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f t h e m ,

s u b s t

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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

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Suvat Equations