a 3 gram mass is projected vertically upward from the earth's surface at an initial velocity of 1000 cm/sec and moves through a medium that offers a resisting force of 3 |v|. how long does it take to reach its maximum height? assume w = mg, where g = 9.80.
i started by using m*(dv/dt) = m*g*R^2/(x+R^2)
but i don't know how the 3|v| resistance factors into it.