Answer
The baseball hits the ground 3 seconds later after it is hit.
Work Step by Step
We solve for $x$ in the equation $f(t)=-16 t^2+47 t+3=0$ using the quadratic formula with $a=-16, b=47 $ and $c=3$.
$$
\begin{aligned}
& t=\frac{-47 \pm \sqrt{47^2-4(-16) 3}}{2(-16)}\\
& t=\frac{47\pm 49}{-32} \\
& t =-\frac{1}{16} \text { or } t =3 .
\end{aligned}
$$
The baseball hits the ground 3 seconds later after it is hit.