# function of time,velocity and acceleration

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marie on 13 Mar 2013
Commented: Walter Roberson on 22 Dec 2017
the position x as a function of time of a particle that moves
along a straight line is given
>>>x(t)=0.4*t^4+10.8*t^3-64.4*t^2-28.2*t+4.4 ft
a)derive the expression for the velocity v(t)
which i did and is v(t)=1.6 t^3 + 32.4t^2-128.8t -28.2
b)derive the expression for the acceleration
which is a(t)=4.8t^2+ 64.8 t -128.8
c)make plots of the position,velocity and acceleration as a function of time in an increment of 0.1s for 0<=t<=8
my question is for part c do i just need to use the command plot(x,v,a)?

Eman Basm on 3 Dec 2017
Hello, I want to train my data in neural network model my question about the input of neural model my data some of it one value and others vector I do not know if that affect because different in values should be all inputs one value
Walter Roberson on 22 Dec 2017
That is not relevant to the Question here. You should use a distinct Question for that.

the cyclist on 13 Mar 2013
I think the question is asking for
plot(t,x)
plot(t,v)
plot(t,a)
You will need to define the increment of t as a vector, as describe in the question.

Youssef Khmou on 13 Mar 2013
hi try :
syms t
x=0.4*t.^4+10.8*t.^3-64.4*t.^2-28.2*t+4.4
x=(0.4*t.^4)+(10.8*t.^3)-(64.4*t.^2)-(28.2*t)+4.4
v=diff(x)
a=diff(v)
t=0:0.1:8-0.1;
X=subs(x,t);
V=subs(v,t);
A=subs(a,t);
figure, plot(t,X,t,V,'r',t,A,'g')
legend(' Position','Velocity','Acceleration')
the result is the same?
Youssef Khmou on 13 Mar 2013
hi,you can use :
plot(t,X,t,V,'r',t,A,'g') % velocity in RED and accel in Green
or
plot(t,X)
hold on
plot(t,V,'r'); % or any other color you wat
plot(t,A,'g');
hold off