Mathematics - Ordinary Differential Equations
Response to the following question:
A ball weighing 6lb is thrown vertically downward toward the earth from a height of 1000ft with an initial velocity of 6ft/s. As it falls it is acted upon by air resistances that is numerically equal to 2/3v (in pounds), where v is the velocity (in feet per second)
a) What is the velocity and distance at the end of one minute?
b) With what velocity does the ball strike the earth?
c) At what time does the ball hit the earth?