SOLUTION: This is a vertical motion problem. I need to know what t equals (there should be 2 answers I believe) Problem: 0 = -16t^2 + 8t + 4

Question 189550: This is a vertical motion problem. I need to know what t equals (there should be 2 answers I believe) Problem: 0 = -16t^2 + 8t + 4
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for t

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Simplify the square root (note: If you need help with simplifying square roots, check out this solver)

or Break up the expression.

or Reduce

So the answers are or

which approximate to or

Since a negative time doesn't make sense, this means that the only logical solution is

So it takes about 0.809 seconds for the object to hit the ground

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