In: Advanced Math
Using knowledge of Differential equations. Give a complete solution for the following problem. A ball that weights 8lb is thrown vertically downward toward the earth from a great height with an initial velocity of 3ft/sec. As the ball falls , it is acted upon air resistance (in Ibs) that is numerically equal to four times the velocity of the ball in ft/sec. (a) What is the velocity of the ball at the end of t seconds? (b) How far has the ball fallen at the end of t seconds?