A Field Goal
The Story of the Giant’s kicker
Josh Brown’s
Longest Attempt
• Josh Brown, the Giant’s Field
Goal kicker is attempting his
personal best field goal from the
52 yard line (~48 m).
• If the kick leaves the ground at 25
m/s at an angle of 30o, Determine
the following:
• Assuming the
crossbar is 3 m
high, does his
kick make it over
the crossbar?
• Step One: Determine the X and Y
components of the original Launch
Velocity
• Vix=(25 m/s) x cos(30o) = 21.65 m/s
• Viy=(25 m/s) x sin(30o) = 12.5 m/s
• Organize your Givens into an X/Y Chart:
X
|
Y
----------------------------------------------Vix=21.65 m/s | Viy=12.5 m/s
Vfx=Vix=Vavex |
Vfy=Vapexy = 0 m/s
ax=0 m/s2
|
ay=-9.81 m/s2
dx=48 m
|
dy=?
----------------------------------------------t=?
• Step 3: Determine the time to travel to the
goal post:
dx=Vix x t
48 m = 21.65 m/s x t
t = 2.217 s
• Step 4: Determine the time to the apex:
Vfy = Viy + ay x t
0 m/s = 12.5 m/s + (-9.81 m/s2) x t
t = 1.274 s
• SO…… that means that after reaching the
apex of the flight at 1.2742 s, the football fell
from the apex for an additional 0.943 s
(2.2172 s - 1.274 s). The questions is….how
far did you fall from the apex.
If you set Viy to 0 m/s at the apex, then the
displacement equation tells how far you fell:
dy = (viy x t) + 1/2 x ay x t2
dy = 0 + (0.5 x -9.81 m/s2 x (0.943 s)2
dy = -4.36 m
• The Max height (apex) can be determined
using the displacement equation:
dmax = (12.5 m/s x 1.274 s) +
(0.5 x -9.81 m/s2 x (1.274 s)2)
dmax = 7.976 m
So, at the crossbar, the football was 3.616 m
from the ground….easily clearing the 3 m
crossbar
“He Shoots! He Scores!”
Did I really need to do ALL that????
If I know that the ball must stay in the air for 2.217s to reach
the crossbar horizontally, what would the vertical
displacement be if I solved using that time?
dy = (Viy x t) + ((1/2 x ay x (t2))
dy = (12.5 m/s x 2.217 s) + ((0.5 x -9.81 m/s 2 x (2.217 s)2)
dy = 3.61 m !!! The SAME height above the ground we
calculated previously!!
AIN’T PHYSICS GREAT?!?!?!!!!
BUT WHAT ABOUT THE “D”?
• If Terrell Brown
(6’11” Defensive
lineman) is able to
reach his hands up
2.9 m at a distance
of 7 m from the kick
(line of scrimmage),
Does he block it?
• The kick will travel the 7 m to the line of
scrimmage in 0.32 s. The kick will rise from the
ground a distance of 3.53 m, clearing the
outstretched arms of Terrell Brown by 0.63 m
• (~ 2 ft).
So Brown beats Brown!
HE SHOOTS! HE SCORES!!!

Field goal problem

  • 1.
    A Field Goal TheStory of the Giant’s kicker Josh Brown’s Longest Attempt
  • 2.
    • Josh Brown,the Giant’s Field Goal kicker is attempting his personal best field goal from the 52 yard line (~48 m). • If the kick leaves the ground at 25 m/s at an angle of 30o, Determine the following:
  • 3.
    • Assuming the crossbaris 3 m high, does his kick make it over the crossbar?
  • 4.
    • Step One:Determine the X and Y components of the original Launch Velocity • Vix=(25 m/s) x cos(30o) = 21.65 m/s • Viy=(25 m/s) x sin(30o) = 12.5 m/s
  • 5.
    • Organize yourGivens into an X/Y Chart: X | Y ----------------------------------------------Vix=21.65 m/s | Viy=12.5 m/s Vfx=Vix=Vavex | Vfy=Vapexy = 0 m/s ax=0 m/s2 | ay=-9.81 m/s2 dx=48 m | dy=? ----------------------------------------------t=?
  • 6.
    • Step 3:Determine the time to travel to the goal post: dx=Vix x t 48 m = 21.65 m/s x t t = 2.217 s
  • 7.
    • Step 4:Determine the time to the apex: Vfy = Viy + ay x t 0 m/s = 12.5 m/s + (-9.81 m/s2) x t t = 1.274 s
  • 8.
    • SO…… thatmeans that after reaching the apex of the flight at 1.2742 s, the football fell from the apex for an additional 0.943 s (2.2172 s - 1.274 s). The questions is….how far did you fall from the apex. If you set Viy to 0 m/s at the apex, then the displacement equation tells how far you fell: dy = (viy x t) + 1/2 x ay x t2 dy = 0 + (0.5 x -9.81 m/s2 x (0.943 s)2 dy = -4.36 m
  • 9.
    • The Maxheight (apex) can be determined using the displacement equation: dmax = (12.5 m/s x 1.274 s) + (0.5 x -9.81 m/s2 x (1.274 s)2) dmax = 7.976 m So, at the crossbar, the football was 3.616 m from the ground….easily clearing the 3 m crossbar “He Shoots! He Scores!”
  • 10.
    Did I reallyneed to do ALL that???? If I know that the ball must stay in the air for 2.217s to reach the crossbar horizontally, what would the vertical displacement be if I solved using that time? dy = (Viy x t) + ((1/2 x ay x (t2)) dy = (12.5 m/s x 2.217 s) + ((0.5 x -9.81 m/s 2 x (2.217 s)2) dy = 3.61 m !!! The SAME height above the ground we calculated previously!! AIN’T PHYSICS GREAT?!?!?!!!!
  • 11.
    BUT WHAT ABOUTTHE “D”? • If Terrell Brown (6’11” Defensive lineman) is able to reach his hands up 2.9 m at a distance of 7 m from the kick (line of scrimmage), Does he block it?
  • 12.
    • The kickwill travel the 7 m to the line of scrimmage in 0.32 s. The kick will rise from the ground a distance of 3.53 m, clearing the outstretched arms of Terrell Brown by 0.63 m • (~ 2 ft). So Brown beats Brown! HE SHOOTS! HE SCORES!!!