Rearranging highschool physics equations

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    Highschool Physics
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SUMMARY

The discussion focuses on rearranging the physics equation d = vt + 1/2at² to solve for time (t). The equation is identified as a quadratic equation, represented as (1/2)at² + vt - d = 0. The quadratic formula is provided for solving this equation, where p = a/2, q = v, and r = -d. Participants emphasize the necessity of applying the quadratic formula to find the correct value of t.

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

Here, p= a/2, q= v, and r= -d.
 
that does not help me sorry.
 

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