A swimmer dives into a lake from a cliff and swims to the surface in a parabolic path. The path of the swim the height in feet,and t is the time in seconds since the swimmer left the top of the cliff. Complete the sentence The diver will be underwater for a total of square seconds

## Step 1The problem involves a quadratic equation, which is a parabolic path. The quadratic equation is given by , where is the height in feet, is the time in seconds, is the initial velocity, and is the initial height.## Step 2The swimmer will be underwater when the height is less than zero. This means we need to find the time when the height is zero.## Step 3The quadratic equation can be solved for when . This gives us the time when the swimmer hits the water.## Step 4The swimmer will be underwater for the time interval between the two solutions of the quadratic equation.