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4. It can be shown that, under certain assumptions, the velocity v(t) of a falling raindrop at time t is: v(t)=v(1egt/v) where g is the acceleration due to gravity and v is the terminal velocity of the raindrop. Assume all variables are positive. (a) Find limtv(t). Explain why this value makes sense intuitively. (b) Graph v(t) if v=1m/s and g=9.8m/s2 on the interval [0,1]. How long does it take for the velocity of the raindrop to reach 99% of its terminal velocity