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Hi Kehli, so this question is asking you to complete the quadratic formula for an equation modeling the height of an object thrown vertically upwards.
Here is that equation:
h = -16t^2 +vt + s
The first step is to recognize what the quadratic formula is. Simply put, we use the quadratic formula to find solution(s) of a quadratic equation. As you may know, a quadratic equation is any equation in which the highest power of the variable in the equation is 2.
The general quadratic equation is ax^2+bx+c = 0.
Quadratic equations can also be solved using factoring, completing the square, and graphing, but here, the question asks us to use the method of the quadratic formula. This formula is:
x = [ -b ± sqrt(b^2 - 4ac) ] / 2a
where a, b, and c refer to the coefficients in the general equation bolded above.
So now, we need to identify what a, b, and c are in the equation that your problem gives. The "t" variable is taking the place of the "x" variable in the general quadratic equation. This means:
a = -16
b = v
c = s
Your final quadratic expression will look like this:
t = [ -v ± sqrt(v^2 - 4(-16)(s) ] / 2(-16)
I hope this helps, and feel free to respond with any follow up questions!