When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving...

When the effect of aerodynamic drag is included, the y-acceleration of a baseball moving vertically upward is au = -g – kv², while the acceleration when the ball is moving downward is ad = -g + kv², where k is a positive constant and v is the speed in feet per second. If the ball is thrown upward at 100 ft/sec from essentially ground level, compute its maximum height h and its speed v_f upon impact with the ground. Take k to be 0.002 ft^-1 and assume that g is constant.