# function of time,velocity and acceleration

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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)?

##### 0 Comments

### Answers (3)

Eman Basm
on 3 Dec 2017

##### 3 Comments

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.

##### 0 Comments

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?

##### 1 Comment

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

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