A hot air balloon is rising at a speed of 6m/s. when the balloon is 300m above the surface of the earth a bag of sand used as a ballast suddenly breaks loose. The balloon immediately begins to accelerate at a rate of 0.5m/s^2.
a)what is the maximum height reached by the ballast bag?
b)how long after it breaks free does the bag reach the ground?
c)what is the position and velocity of the bag 4 seconds after it breaks free?