In a later chapter we will be able to show, under certain assumptions, that the velocity v(t) of a falling raindrop at time t is v(t) = vT(1 − e−gt/vT) where g is the acceleration due to gravity and vT is the terminal velocity of the raindrop.

(a) Find

lim t→[infinity] v(t).

(b) Graph v(t) if vT = 8 m/s and g = 9.8 m/s2.