Question

A baseball player hits a ball toward the outfield. The height h of the ball in feet is modeled by h(t) = -16t2 + 22t + 3, where t is the time in seconds. If no one catches the ball, how long will it stay in the air? (Round to the nearest tenth of a second and enter only the number.)

Answer 1

$h(t)=-16t^2+22t+3\\(0)=-(8t+1)(2t-3)\\8t+1=0:2t-3=0\\8t=-1:2t=3\\t=\frac{-1}{8}:t=\frac{3}{2}$

1.5 seconds