A projectile is shot vertically from the ground level. It’s height h, in feet, after t seconds is given by h = 88t - 16t ^2. How long will it take the projectile to hit the ground ?

Answer: it will take 5.5 seconds to hit the groundStep-by-step explanation:A projectile is shot vertically from the ground level. It’s height h, in feet, after t seconds is given by [tex]h = 88t - 16t ^2[/tex]When the projectile hits the ground then the height becomes 0[tex]h = 88t - 16t ^2[/tex][tex]0 = 88t - 16t ^2[/tex]GCF is -8t[tex]0 = 8t(11 - 2t)[/tex]now set each factor =0 and solve for t[tex]8t=0, t=0[/tex][tex]11-2t=0, t=\frac{11}{2}[/tex]So it will take 5.5 seconds to hit the ground