9. Perfect Squares
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Substitute the given value for h_0. Then, solve for t.
t≈ 0.6
We can begin by identifying that h_0 is the initial height from which we are dropping the brush. When the brush hits the ground is h. Therefore, we can substitute 0 for h and 6 for h_0.
LHS-6=RHS-6
.LHS /(-16).=.RHS /(-16).
a/b=.a /2./.b /2.
sqrt(LHS)=sqrt(RHS)
Calculate root
Rearrange equation
Mathematically our solution can be positive or negative. However, a negative solution does not make sense in this scenario. Our solution must then be t=0.6.