**a.) **Even if you did the above problems by hand, why not use Maple
this time? Approximate the instantaneous velocity of the canteloupe at
time t=2 sec by first defining the function
f:= t -> 95 + 5*t - 16*t^2;

and then calculating average velocities over short intervals which begin
or end at t=2:
(f(2.01) - f(2))/ (2.01-2);

(f(2)-f(1.99))/(2-1.99);

and so forth. What value would you assign for the instantaneous velocity
at t=2?
**b.)** You can get fancier: Let's define the function
vav := t -> (f(t+h)-f(t))/h;

This will give the average velocity over the time interval [t,t+h] once
we have assigned a value to h. Do part (a) again using *vav*. Then
use *vav* to find the instantaneous velocity at several (at least
three) other values of t.
**c.) **It's even better if you graph it. Assign a (small) value
to h, and then
plot({f(t),vav(t)},t=0..2.6)

Do this several times with decreasing values of h (but only turn in \it
one plot). What do the graphs of all the 'vav' s have in common? How do
they differ? How is the graph of f(t) related to that of vav(t) . In particular
how does f behave when vav is positive? negative? big? small? -- Is this
behavior precise or only approximate?