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

[motoxtremechick]

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
...?

 

[chocokat]

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.

 

[motoxtremechick]

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

 

[chocokat]

No, you have to leave it as it was. Then move everything over and you get

$$.5t^2 - 6t + 25 = 0$$

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.