How Does Displacement Affect Final Velocity in Constant Acceleration?

[kayjaydee]

Homework Statement

A car starts from rest, accelerates at a constant rate, has a displacement of x and a final velocity of v. What is the final velocity (in terms of v) if the displacement was 9x?

Homework Equations

v^2=vo^2 + 2a(x-xo)

The Attempt at a Solution

I have no idea. :(

 

[lewando]

Hello KJD, welcome to PF! You must have some idea! .
Seems like a 2-part problem. First find v, given:

A car starts from rest, accelerates at a constant rate, has a displacement of x and a final velocity of v.

What would v be in this case, using the equation you provided?

What is the final velocity in terms of v if the displacement was 9x?

Now, jack up x by 9, using your result from the first part. Does this help?

 

[kayjaydee]

Thank you so much! I think I understand now! I just didn't know where to start. Thanks again