Solve .5m/s^2(t^2)=6m/s(t)-25m Kinematics Equation

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Homework Help Overview

The discussion revolves around solving a kinematics equation represented as .5m/s²(t²) = 6m/s(t) - 25m. Participants are attempting to manipulate the equation to find the variable t.

Discussion Character

  • Exploratory, Mathematical reasoning, Problem interpretation

Approaches and Questions Raised

  • Participants discuss dividing terms to simplify the equation, but there is contention regarding the validity of this approach. Some suggest moving all terms to one side to form a standard quadratic equation.

Discussion Status

The discussion is ongoing, with participants providing different perspectives on how to rearrange the equation. Some guidance has been offered regarding the formation of a quadratic equation, but there is no explicit consensus on the best method to proceed.

Contextual Notes

There is a noted concern about maintaining units correctly during manipulation of the equation, and participants are exploring the implications of potential negative solutions in the context of the problem.

motoxtremechick
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k so kinematics equations set equal..have to solve..
.5m/s^2(t^2)=6m/s(t)-25m

so i divided all by t to get

.5m/s^2(t)=6m/s-25
...?
 
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You can't divide 25m by t and get 25. You should leave the terms as is, move everything over to one side and use the quadratic equation to solve for t.
 
my mistake there is still supposed to be a unit..i just did that to get rid of the one t and make the other one just t instead of t^2
then if i move everything it will be...
thats where I am stuck

t=12s-25m
 
No, you have to leave it as it was. Then move everything over and you get

[tex].5t^2 - 6t + 25 = 0[/tex]

Now, use the quadratic equation where a = .5, b = 6 and c = 25 to solve for t. You should get two answers, only one will be correct. It's possible one will be negative, and that one will not work.
 

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