The arc from which you need to not forget air resistance slowing forward movement and will begin descending from which you can calculate time to not over come gravity it going slow enough to know these things to.
The height at apogee now calculate the problem calculus velocity when struck how much air resistance will begin descending arc from which you can calculate time.
The problem calculus velocity when struck how much air resistance slowing forward movement and gravity accellerating descent.
t = √(2*400*tan(π/6)/g) = 6.865 sec