SOLUTION: trying to solve a velocity equation where s=4.9t^2+Vot Velocity = Vo = 20m/s Height = s = 158.4m time = t = which is what we are solving for so...{{{158.4=4.9t^2 + 20t}}}

Question 277032: trying to solve a velocity equation where s=4.9t^2+Vot

Velocity = Vo = 20m/s
Height = s = 158.4m
time = t = which is what we are solving for
so...
I got as far as 4.9t^2 + 20t - 158.4=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Multiply every term by 10 to make every number a whole number (ie move the decimal one spot to the right).

Notice that the quadratic is 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 .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the possible solutions are or

However, since a negative time value doesn't make any sense, we must ignore the value

So the only solution is
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