When Joe dives off a diving board, the equation of his pathway can be modeled by h=-16t^2+15t+12. Find the time it will take to reach the water. Solve using the quadratic formula.

Guest Mar 30, 2021

#1**0 **

**(15- \sqrt(993))/(32) is your awnser **after using the quadratic formula which is x = -b +- sqrt(b^2-4ac)/32

itachiuchihakujo Mar 30, 2021

#2**+1 **

H = 0 when he smacks the water in a big ol' belly flop:

0=-16t^2+15t+12

a = -16 b = 15 c = 12 for the Quadratic Formula

\(t = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

\(t = {-15 \pm \sqrt{15^2-4(-16)(12)} \over 2(-16)}\)

if you do the calculation, t = 15/32 + \(\sqrt{993}\) /32 = 1.4535 seconds

ElectricPavlov Mar 30, 2021