Suppose you have a water balloon launcher. The balloon is 3ft high when it leaves the launcher. Use the equation 0=-16t^2+38.8t+3 to find the number of seconds t that the balloon is in the air.

And we can use the quadratic formula given by:

Where:

And replacing we got:

And after solve we got two solutions:

And

Since the time can't be negative the correct option for this case would be

Step-by-step explanation:

For this case we have the following function for the height:

And we want to find how many seconds  t that the balloon is in the air since is released from 3ft above, so we want to find the time t in order to h(t) =0

We can rewrite the last expression like this:

And we can use the quadratic formula given by:

Where:

And replacing we got:

And after solve we got two solutions:

And

Since the time can't be negative the correct option for this case would be

828. all there is to it!

here, if you ever need with rounding (or other forms of arithmetic/math) again, use this:

thats the rounding one, but if you just click the top left, it shows you all the calculators you may need!