Lisa is measuring the depth of a well. She drops a ball from a height of h feet into the well and measures how long it takes the ball to hit the bottom of the well.
Polynomial =

where 0 is the initial speed and h is height it was dropped .
Now find depth of the well, when t = 3.5 seconds and h = 6 ft
=

=

= -196 + 6
= -190
So depth of the well is 190 feet (negative sign represents the depth, below the ground)