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PROJECTILES&nbs=
p;
Unit 9 (with key concepts from units 4 & 5) Dr. John P. Cise , Professor Of Ph=
ysics,
Austin Com. College, 1212 Rio Grand=
e St.,
Austin Tx., 78701 =
jpcise@austincc.edu & New York Times , July 10, 2009 by Alan Schwarz<=
/b>
Intro=
duction:=
Soon data
about a baseball’s motion will be available. In the left graphic the popup ball we=
nt 130
ft horizontally and had a hang time(time in air) of 7 sec.=
span>
Quest=
ions:=
(a)
Find the angle at which this popup ball was hit at(b)? Find the initial=
velocity(in
ft/s & mph) this popup ball was hit at? Note: 88 ft/s =3D 60 mph.
Hints=
:=
Break
the solution into 2 segments:
Horizontal motion and vertical motion.<=
/o:p>
Sin(angle)/cosine(angle) =3D tangent(angle)<=
o:p>
Answe=
rs:=
(a) ~
80.6 degrees (b) ~ 113.5 ft/s
or ~ 77 mph.
|
|
Digital Eyes Will Ch=
art
Baseball’s Unseen Skills
The system can show ex=
actly
where a ball was hit, and the speed of the ball and the runners throughout a
play. It can also show how long it took a ball to be returned to the infiel=
d.
SAN FRANCISCO : Skip to next paragraphA new camera and software system=
in
its final testing phases will <=
span
style=3D'background:yellow;mso-highlight:yellow'>record the exact speed and
location of the ball and every player on the field, allowing=
the
most digitized of sports to be overrun anew by hundreds of innovative
statistics that will rate players more accurately, almost certainly affect
their compensation and perhaps alter how the game itself is played. Although
the game will continue to answer to forces like wind, glaring sun and the
occasional gnat swarm, a good deal of time-honored guesswork will give way to
more definite measurements — continuing the trend =
of
baseball front offices trading some traditional game-watching scouts for vi=
deo
and statistical analysts.Teams have begun scrambling to develop uses for the
new data, which will be unveiled Saturday to a group of baseball executives,
statisticians and academics, knowing it will probably become the largest single advance in
baseball science since the development of the box score.=
Sportvision has worked with Major League Baseball Advanc=
ed
Media, the league’s Internet subsidiary, in the venture that will
eventually cost upward of $5 million to install the system in all 30 stadiu=
ms,
according to executives involved with the project.Bob Bowman, the
subsidiary’s chief executive, said he hoped to have meaningful data
flowing by the end of this season from the San Francisco installation, and =
from
all 30 stadiums in 2010. The data could be made available to the public on a
subscription basis. Bowman said he preferred the data be more open so that
statistically minded fans and academics could brainstorm ways to wring usef=
ul
information from what would become petabytes of raw data. =
b> Software and
artificial-intelligence algorithms must still be developed to turn simple
time-stamped x-y-z coordinates into batted-ball speeds, throwing distances =
and
comparative tools to make the data come alive.In San Francisco, four
high-resolution cameras sit on light towers 162 feet up, capturing everythi=
ng
that happens on the field in three dimensions and wiring it to a control ro=
om
below. Software tools determine which movements are the ball, which are
fielders and runners, and which are passing seagulls. More than two million
meaningful location points are recorded per game.
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