Answer
A) See the graph below.
B) $(5, 128.5)$
C) $H(2)=81.58$
D) $t= 10.20$ seconds
Work Step by Step
A) The graph of the function is shown below.
$$\begin{aligned}
H(t) &= -4.9t^2+50t+1,\ -1\leq x\leq 12, -40\leq y\leq 150
\end{aligned}$$ B) The vertex of the function is located at about $(5, 128.5)$. It describes the maximum height of the tennis ball after about $5$ seconds.
C) From the graph we have $H(2)=81.58$.It is the height of the tennis ball 2 seconds later.
D) The ball will hit the ground at about $t= 10.20$ seconds.
