6. An object is dropped from the top of a building 200 m high. The object encounters air resistance which is proportional to its velocity v(t) with constant of proportionality 9.8 kg/sec and acceleration due to gravity g = 9.8 m/sec². (a) Set up and solve the initial value problem for the velocity of the object v(t) at time t. (b) If y(t) is the distance traveled by the object in t seconds, set up and solve the initial value problem for y(t).

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