Asky diver jumps from a reasonable height above the ground. the air resistance she experiences is proportional to her velocity, and the constant of proportionality is k = 0.19. it can be shown that the downward velocity of the sky diver at time t is given by v(t) = a(1 − e^-kt) where t is measured in seconds and v(t) is measured in feet per second (ft/s). suppose a = 64.
(a) find the initial velocity of the sky diver.
(b) find the velocity after 5 s and after 15 s. (round your answers to one decimal place.)