how to write the equation of x as function of time given the graph of velocity against time?somebodyplease help me,,,
just integrate
\[x=v*t\] 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 \[a= \frac{ d }{ dt }(\frac{ dx }{ dt })=\frac{ d^2x }{ dt^2 }\]
@mapelleta.h does that help you?
hm,,,its ok,,ill try,,thanx^^
:)
if the graph is given?just do like that??
for a given graph use \[a = \frac{ dV}{ dt }\] slope of this will give you acceleration
how to write the equation of x as function of time from this graph
here you have to find the area of the region that will give you x
\[area=x=\frac{ 1 }{ 2 }*15*50+15*42.5+\frac{ 1 }{ 2 }*7.5*50\] solve this ..you will get your X :)
owh,,i already get the area,,and then how about the x?
X is the area of that region that gives you the distance traveled
x= distance traveled
how to form the equation?sorry because too many questions,,im just dont understand this question^^
well there is no equation of this, here it is distance that you have to find
\[x=\frac{ 1 }{ 2 }*width*height+length*width\]
but the question ask about to form equation,,,by the way,,thanx^^
:) YW last equation for you \[x=\int\limits_{0}^{t}V*dt\]
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