Using quadratic interpolation in matlab how ?

[uaeXuae]

http://img337.imageshack.us/img337/8922/problemcmi0.jpg

Can anyone explain to me please how this problem is solved ?

 

[Integral]

Two ways, take your pick.

Set v(t) = 35, then use the quadratic formula. OR

set t = each of the possible answers, which is closest to 35?

 

[uaeXuae]

Well this is basically what i have done But I am not sure why I am getting to positive values for t ?
I would like to :

Set v(t) = 35, then use the quadratic formula.

Please feel free to tell me if the quadratic equation i used is wrong:-

a=8.66; b=-349.67;c=3523.18;
discr=qrt(b^2-4*a*c)
qf1=(-b+discr)/(2*a);
qf2=(-b-discr)/(2*a);
qf=[qf1 qf2]

I got qf=

21.0571 19.3025


Is the function in MATLAB defined as:
Ax^2 +bx + c

or

Ax^2 -bx +c

 

[uaeXuae]

Anyone please ? I have to submit this in 2 days please help...

 

[uaeXuae]

Found it finally :


http://img507.imageshack.us/img507/2144/partcns7.jpg

This line basically i don't understand:-

p(3)=p(3)-35

Why minus ? I ued trial and error so i don't really know how i got it. May anyone explain please ?

 

[uaeXuae]

In addition to what i posted:

Ok now i can see i figured out the answer But what does not makes sense to me is that the velocity 35m/s is obtained twice between 18 & 22 seconds , 22 & 24 seconds. ! So theoretically i should be having 2 answers. Is there a Physical meaning of why I am having one answer ?

 

[uaeXuae]

Anyone please help me submission is tommrow