I tried the 500' & 1000' agl engine loss after takeoff with
Cessna 172 & 182 models on MS 2002. The 172 crashed
short both times

, while the 182 got back to the runway
just on the 500' and easily on the 1000'

. I think the
key is the difference in best rate of climb, the 182 was
showing 1500fpm while the 172 was more like 500fpm.
So given a 90-knot best climb for the 182 a 1000' fail was
taking place within a mile of the runway, while the 172
at 75-knots was failing at 2.5 miles.
All in all a good argument for climbing to en-route altitude
as rapidly as you can...and having a powerful engine to start
with.
Of course this is MS software so your mileage may vary.
-- Andrew