Solving for me with Numerical Mathematic please. Thank you
A projectile of mass m = 0.11 kg shot vertically upward with initial velocity v(0) = 8 m/s is slowed due to the force of gravity, Fg = -mg, and due to air resistance, F. = -kv|v|, where g = 9.8 m/s2 and k = 0.002 kg/m. The differential equation for the velocity u is given by mu' = --mg -- ku|u|.
1. Find the velocity after 0.1, 0.2,..., 1.0 s.
2. To the nearest tenth of a second, determine when the projectile reaches its maximum height and begins falling