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Physics 11 Online
OpenStudy (anonymous):

how to write the equation of x as function of time given the graph of velocity against time?somebodyplease help me,,,

OpenStudy (anonymous):

just integrate

OpenStudy (ghazi):

\[x=v*t\] where v is velocity and t is time or in case of velocity time graph \[a= \frac{ dV }{ dt }\] where a is acceleration now \[V=\frac{ dx }{ dt }\] therefore \[a= \frac{ d }{ dt }(\frac{ dx }{ dt })=\frac{ d^2x }{ dt^2 }\]

OpenStudy (ghazi):

@mapelleta.h does that help you?

OpenStudy (anonymous):

hm,,,its ok,,ill try,,thanx^^

OpenStudy (ghazi):

:)

OpenStudy (anonymous):

if the graph is given?just do like that??

OpenStudy (ghazi):

for a given graph use \[a = \frac{ dV}{ dt }\] slope of this will give you acceleration

OpenStudy (anonymous):

how to write the equation of x as function of time from this graph

OpenStudy (ghazi):

here you have to find the area of the region that will give you x

OpenStudy (ghazi):

\[area=x=\frac{ 1 }{ 2 }*15*50+15*42.5+\frac{ 1 }{ 2 }*7.5*50\] solve this ..you will get your X :)

OpenStudy (anonymous):

owh,,i already get the area,,and then how about the x?

OpenStudy (ghazi):

X is the area of that region that gives you the distance traveled

OpenStudy (ghazi):

x= distance traveled

OpenStudy (anonymous):

how to form the equation?sorry because too many questions,,im just dont understand this question^^

OpenStudy (ghazi):

well there is no equation of this, here it is distance that you have to find

OpenStudy (ghazi):

\[x=\frac{ 1 }{ 2 }*width*height+length*width\]

OpenStudy (anonymous):

but the question ask about to form equation,,,by the way,,thanx^^

OpenStudy (ghazi):

:) YW last equation for you \[x=\int\limits_{0}^{t}V*dt\]

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