Barrons AP Calculus

(d)

(e)

BC  ONLY

The curve,  and v   and a   at  t 1     and t 2 ,   are sketched    in  Figure  N4–18,  below.

Figure  N4–18

For the speed   |v| at  any time    t

We see immediately that the speed is a maximum when , and a
minimum when t = 0 or π. The particle goes fastest at the ends of the minor axis
and most slowly at the ends of the major axis. Generally one can determine
maximum or minimum speed by finding , setting it equal to zero, and