# Rearranging highschool physics equations

1. Oct 24, 2012

### kimberlycc

Hey I am in physics 30 and i am having trouble rearraging this eqaution: d=vt+1/2at^2

V= velocity 1
a= acceleration
t= time
d=distance

I need to solve for t. Could anyone help me out with the rearranged equation
by the way, the last t in the equation is supposed to be squared

2. Oct 24, 2012

### HallsofIvy

Staff Emeritus
That's a quadratic equation, $(1/2)at^2+ vt- d= 0$ and can be solved using the "quadratic formula": if $px^2+ qx+ r= 0$, then
$$x= \frac{-q\pm\sqrt{q^2- 4pr}}{2p}$$

Here, p= a/2, q= v, and r= -d.

3. Oct 24, 2012

### kimberlycc

that does not help me sorry.