A stunt woman for a movie1 is trying to jump a motorcycle 4 meters across a
ditch and land on a special ramp 1 meter higher than her takeoff point
that is built into the branch of a convenient tree. The angle of the
takeoff ramp is fixed at 37.5
. The ``plot'' of the movie
requires that the ditch be filled with large, hungry crocodiles and
the director is a sucker for realism. If she jumps even a bit too
high, she will wreck on an overhanging branch and the crocs will dine
well. If she jumps too low, she bounces back and also becomes
crocodile-bait.
With what speed 
must she take off to complete the jump
successfully (and live to get paid)?