I'm far more into math, then I am into physics, but I'll take a shot at this:
the formula for location is: d = -4.9t² + vt
If the velocity is 8.1 along the slope, the vertical component of this will be found by using sin:
sin(20°) = v/8.1 ---> v = 2.770
The formula becomes: d = -4.9t² + 2.77t
Since this formula describes a parabola, the maximum point (the stopage point) is halfway between where the distance is 0 (when it starts) and where it again becomes 0.
Solve: 0 = -4.9t² + 2.77t ---> 0 = t(-4.9t + 2.77) ---> t = 0 and t = 0.5653
Halfway between 0 and 0.5653 is 0.28 seconds.
Again, no guarantee.