Using knowledge of Differential equations. Give a completesolution for the following problem. A ball that weights 8lb isthrown vertically downward toward the earth from a great heightwith an initial velocity of 3ft/sec. As the ball falls , it isacted upon air resistance (in Ibs) that is numerically equal tofour times the velocity of the ball in ft/sec. (a) What is thevelocity of the ball at the end of t seconds? (b) How far has theball fallen at the end of t seconds?