id: 06132031
dt: j
an: 2013a.00890
au: Seppala-Holtzman, D. N.
ti: An optimal basketball free throw.
so: Coll. Math. J. 43, No. 5, 387-394 (2012).
py: 2012
pu: Mathematical Association of America (MAA), Washington, D.C.
la: EN
cc: N65 M95 R25 U75
ut: optimization problems; basketball free throws; trajectory plane;
configuration plane; modeling; lower bounds; upper bounds; digression
ci:
li: doi:10.4169/college.math.j.43.5.387
ab: Summary: A basketball player attempting a free throw has two parameters
under his or her control: the angle of elevation and the force with
which the ball is thrown. We compute upper and lower bounds for the
initial velocity for suitable values of the angle of elevation,
generating a subset of the configuration space of all successful free
throws. A computer-assisted search of this configuration space yields a
free throw shot most forgiving of error hence optimal.
rv: