Johanna jogs along a straight path. For $0 \leq t \leq 40$, Johanna's velocity is given by a differentiable function $v$. Selected values of $v(t)$, where $t$ is measured in minutes and $v(t)$ is measured in meters per minute, are given in the table below.

\begin{center}
\begin{tabular}{ | c | | c | c | c | c | c | }
\hline
\begin{tabular}{ c }
$t$ \\
(minutes) \\
\end{tabular} & 0 & 12 & 20 & 24 & 40 \\
\hline
$v(t)$ & 0 & 200 & 240 & -220 & 150 \\
\hline
\begin{tabular}{ c }
(meters per minute) \\
\end{tabular} & & & & & \\
\hline
\end{tabular}
\end{center}

(a) Use the data in the table to estimate the value of $v'(16)$.

(b) Using correct units, explain the meaning of the definite integral $\int_0^{40} |v(t)|\, dt$ in the context of the problem. Approximate the value of $\int_0^{40} |v(t)|\, dt$ using a right Riemann sum with the four subintervals indicated in the table.

(c) Bob is riding his bicycle along the same path. For $0 \leq t \leq 10$, Bob's velocity is modeled by $B(t) = t^3 - 6t^2 + 300$, where $t$ is measured in minutes and $B(t)$ is measured in meters per minute. Find Bob's acceleration at time $t = 5$.

(d) Based on the model $B$ from part (c), find Bob's average velocity during the interval $0 \leq t \leq 10$.