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PROJECTILES & KINEMATICS Unit=
s 9 &
4&5 Dr =
John
P. Cise, Professor Of Physics,
Austin Com. College, 1212 Rio Grande St. =
Austin
Tx 78701 jpcise@austincc.edu & New York Times 11/9/08 by Stefan Fatsis
N.F.L.
Kickers Who Are Defying Time and Distance N.F.L. kickers are having their best sea=
son.
And the oldest among them have been the best of all.Skip to next paragraph
=
Detroit’s Jason Hanson, 38, has made
five field goals of more than 50 yards=
b> this season.
Defying time and logi=
c,
kickers 35 and older have converted 90 percent of their field-goal attempts
— 6 percentage points better than their younger counterparts. That is=
a
statistically significant margin, considering that in the N.F.L., every kick
can be the difference between one more game and forced retirement.
Some of the aging kickers have been perfect or clos=
e to
it. The Giants’ John Carney — the ol=
dest
player in the N.F.L. at 44 — has made 18 of 19 field-goal attempts, a=
nd
his miss was a block. Carolina’s John Kasay, who has spent 18 of his =
39
years in the league, is 16 for 16. Detroit’s Jason Hanson, 38 and in =
his
17th season, is 10 for 10, including a league-leading five field goals of 50
yards or longer.
Of the 36 kickers who have
attempted a field goal this season, eight are 35 or older. They have conver=
ted
109 of 121 kicks, or 90.1 percent. The other 28 kickers are 334 for 397, or
84.1 percent. Over all, N.F.L. kickers have converted 85.5 percent of their
chances, on track for a sixth consecutive record-breaking season.
Questions: (a) Find the time of flight(t) and in=
itial
velocity(v) the football was kicked at so as to just clear the 10 ft. high =
goal
posts? Assume the football was kicked at 45 degrees.(b) Find the horizontal
velocity of the football as it clears the goal post? (c)<=
/b>
Find the vertical velocity of the
football as it clears the goal post? (d) Find the resultant velocity of the
football as it clears the goal post? This velocity is the resultant of the
combination of the vertical and horizontal velocity as the football clears =
the
goal post. Remember, when finding the resultant velocity you MUST find not =
just
the magnitude but also the direction (angle relative to horizontal). Hint(s=
):
Break your solution into two sections: Horizontal where NO velocity change
exists and Vertical where we have the acceleration due to gravity…- 32
ft/s2 . Answers: (a) t =3D 2.96 s , v =3D 71.67 ft/s or 48.87 mp=
h since
88 ft/s =3D 60 mph (b) VH
=3D 49.96 ft/s (c=
) ) Vv
=3D - 44.05 ft/s (d) V<=
sub>resultant
=3D66.6 ft/s at 41.40 below horizontal.=
=
&nb=
sp;
Horizontal =
&nb=
sp; =
&nb=
sp; =
Vertical
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