Question

Lauren dove into a swimming pool from a 15 foot high diving board with an initial upward velocity of 8 feet per second find the time it took one to enter the water use the equation H=-16T^2 + VT + S, where h is height in feet, t is time in seconds, v is the initial upward velocity in feet per second, and s is the initial height in feet.

Answer 1

It will take Lauren 1.25 seconds to hit the water.

With the given information, we can write the following quadratic equation.

$h=-16t^2+8tt+15$

Now, just use the quadratic formula to solve the equation.

You will get 1.25 and -0.75 as the zeros of the equation (where Laruen hits the water).
Only 1.25 makes sense in the context of this problem.