How do I Solve for t in a Projectile Motion Equation?

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SUMMARY

The discussion focuses on solving the projectile motion equation 0 = vt - 1/2at² for the variable t. The user attempts to rearrange the equation but struggles with the application of algebraic principles, particularly the quadratic formula. The correct approach involves recognizing the equation as a quadratic in the form of 1/2at² - vt = 0, which can be solved using the quadratic formula t = [v ± sqrt(v² + 2a(0))] / a. The user expresses a need for a refresher on foundational algebra concepts to facilitate understanding.

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  • Understanding of quadratic equations
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  • Basic algebraic manipulation skills
  • Knowledge of projectile motion principles
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Students in grade 11 physics, educators teaching projectile motion, and anyone seeking to strengthen their algebra skills in the context of physics problems.

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Homework Statement


The given equation is:
0 = vt-1/2at^2
and you must solve for t.

Homework Equations


There's a question similar to this one, d=ut+1/2at^2, but there's an extra variable so you are able to use the quadratic formula. In this case, I'm not quite sure if I'm solving the question correctly.

The Attempt at a Solution


I've tried running through numerous solutions but none of them seem quite right. Here's my attempt, at least.
0=vt-1/2at^2
v=t-1/2at^2
-2av=t-t^2
sq.root(-2av)=t

What am I doing wrong here? I've gone about a year without math, and these are just some introductory algebra questions to 'warm us up' for our physics course, so I think there are a lot of key things that I've forgotten about that could help me solve this question. (BTW, this is a grade 11 university physics course)
 
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A-B=0

add B to both side to get

A-B+B=B

and -B+B is usually called zero.
 
I have the same question, you're reply doesn't really help. It's clear that she has an understanding of what to do and she gave you her attempt... Going over simple rules won't help if she doesn't know where she went wrong.
 

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