A water balloon of mass 890 grams is rolled on level ground with an initial velocity of 38 meters per second. As it travels, water leaks from the balloon at a rate of 255 grams per second. Assume air resistance is proportional to velocity with coefficient 6 grams per second. (a) Find the velocity of the balloon as a function of time. v(t) = (b) What is the furthest distance the balloon could travel? Total distance = meters.