Form acceleration to displacement

[zhen]

The question is:

 

[Pengwuino]

https://www.physicsforums.com/showthread.php?t=94383

Please read the FAQ, you must show your work, we do not do your homework for you.

 

[zhen]

http://ca.geocities.com/markxiao2002/001.JPG
I just forget to show the work when I upload the attachment...
I just know A = V' ...so V = (A^2)/2 + C...
but what should I do for the Vo?
I really have no clue...can you guys give some hints?

 

[Doc Al]

Start with the acceleration. Integrate twice.

 

[zhen]

just integrate the acceleration twice...?
I tryied aleady...but it makes no sense...
I don't get it...

 

[Doc Al]

Show what you did. Since $a = dv/dt$, integrating a with respect to t will give you the velocity. That's step one.

 

[zhen]

yes, I know that...

but there is no function of the accelration respect to time given...

 

[zhen]

and the acceleration is constant in this question...
I think there must be related to the word "constant"...
and I still thinking...

 

[zhen]

oh...thank you...i get it...