You’re the infamous captain of a roving band of pirates and yourecently captured a castle
full of treasures. Another band of marauding pirates are tryingto storm your castle. You have
a single cannon that can fire cannon balls from over the castlewalls and down to the ground
below. In order to successfully hit the pirates on the ground,you need to know the
typical
launch speed of cannon ball fired from your cannon.
To determine the launch speed of the cannon ball, you fire acannon ball and observe that the
ball hits a target
R
meters away as measured from the base of castle’s wall. Thecannon ball
is fired horizontally at a height of
h
meters above the ground. Using these data, determine the
cannon ball’s time of flight
t
and its launch speed
v
0
. Your answer for time of flight should be
expressed in terms of
h
and
g
and your answer for launch speed should be expressed in
h
,
g
,
and
R
only.
