capital punishment

“Eye for an eye, tooth for a tooth” this system of equal punishment or “lex talionis” is the system on which our judicial system has been founded. There is no crime in which the punishment is less than the crime inflicted. If there were, crime would be a profitable business for criminals even if they were caught.
Punishment in fact must be exponentially greater than the profits of the crime so as to ably deter potential criminals. By implementing dangerous penalties we can protect ourselves from further encroachment on the law.
This was the theory behind the establishment of capital punishment, a practice that predates written history. There is no crime greater than to take the life of another man, as such there can only be one punishment severe enough to deter future homicides, only one punishment capable of challenging a killers resolve, only one punishment which fits the crime: Death.
Currently the issue of the death penalty has again came into the light of the public. There are cries some who claim the death penalty unconstitutional, claiming it qualifies as cruel and unusual punishment. Many would further argue that the system by which the judicial system doles out the death penalty is not thorough enough, that criminals are convinced to rashly and many innocent men and women die.
According to multiple studies on the Death Penalty Information Center the current system of capital punishment costs 4 times as much as the average case, which seeks life without parole. Cases must employ Jurors and court personnel for longer, do much deeper investigation

Zachary Weber
AP Physics
2.2.10
10/7/09

1. A)
Y=Y0+Vt+(1/2)at^2
Cos(70)=x/35
Sin(70)=x/35

V1= velocity of ball
V1x=35tcos(70)=11.9707t
V1y=35tsin(70)=32.8892t

V2= velocity of gravity
V2x= 0
V2y= -(1/2)9.8t^2

Combined equations
Vx=11.9707t
Vy=32.8892t - (1/2)9.8t^2

Y=32.8892t-(1/2)9.8t^2
6=32.8892t-(1/2)9.8t^2
0=-6+32.8892t-(1/2)9.8t^2
t=6.5244032
6.534403 seconds
B.)11.9707(6.5344)=78.2213Meters
C.) t=6.534403/2=3.2672seconds
32.8892(3.2672)-(1/2)9.8(3.2672)^2=68.4636 meters

2.)
V1= apple
V2=arrow

V1x=0
V1y=-(1/2)9.8t^2
V2y=-(1/2)9.8t^2
V2x=(-(1/2)9.8)^2+V2x^2=40^2
V2x=square root1575.99
V2x=39.6987

Combined vectors
Vy=-(1/2)9.8t^2
Vx=39.6987t

10/Vx=t
10/39.6987=.251897
time for arrow to reach meeting place, t=.251897seconds

1.5=20-(1/2)9.8t^2
-18.5=-(1/2)9.8t^2
37=9.8t^2
3.7755=t^2
time for apple to reach meeting place, t=1.94306459seconds
1.94306459-.251897=1.69116759 seconds

He should release the arrow 1.691167 seconds after the apple is dropped.

3.)A.)
V1=velocity of ball
V2= Velocity of gravity

V1y= sin(45)=x/22
V1y=15.55634
V1x=cos(45)=x/22
V1x=15.55634

V2x=0
V2y=-(1/2)9.8t^2

Combined
Vx=15.55634t
Vy=15.55634t-(1/2)9.8t^2

0=15.55634t-(1/2)9.8t^2
t=3.174763
15.55634(3.174763)=49.3877
49.3877-25=24.3877/3.174763=7.681745M/second

B.) 3.174763/2=1.5873815seonds
15.5563(1.5873815)-(1/2)9.8(1.5873815)^2=12.3468

4.) A.) V1=Plane
V2=wind
North=90degrees
East=0degrees
South=-90degrees
West=180degrees

V1y=Sin(-45)=x/200
V1y=-141.4213562
V1x=cos(-45)=x/200
V1x=141.4213562

V2y=sin45=x/60
V2y=42.426406
V2x=cos45=x/60
V2x=42.426406

Combined
Vx=141.4213562x+42.6406
Vx=186.8477631x
Vy=-141.4213562x+42.6406
Vy=-98.7807562x
Tanx=-98.7807562/186.8477631
X=-27.86405276 degrees
The plane will travel east-southeast

B.) -98.7807562^2+186.8477631^2=landspeed^2
211.3521336M/s=ground speed