Life Guards

BRITAINS 8829 THE SECOND LIFE GUARDS TOY SOLDIER SET
BRITAINS 8829 THE SECOND LIFE GUARDS TOY SOLDIER SET
$25.00

DUCAL CORPORAL OF HORSE, THE LIFE GUARDS MOUNTED #6  PAINTED MEATAL ALLOY 54MM
DUCAL CORPORAL OF HORSE, THE LIFE GUARDS MOUNTED #6 PAINTED MEATAL ALLOY 54MM
$37.50

BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
$4.99

Britains Saxophone  player MINT Band of the Life Guards
Britains Saxophone player MINT Band of the Life Guards
$15.99

2015 DiD 1/6 scale 12
2015 DiD 1/6 scale 12" The Life Guards British Royal Dragoons Action Figure
$159.95

W Britain Ceremonial Collection Band of the Life Guards 8 Figure Set 00154
W Britain Ceremonial Collection Band of the Life Guards 8 Figure Set 00154
$40.99

DID 1:6 British The Life Guards, The Royal Dragoons
DID 1:6 British The Life Guards, The Royal Dragoons
$158.00

William Britain Toy Soldier- Life Guard Mounted Ceremonial Drummer
William Britain Toy Soldier- Life Guard Mounted Ceremonial Drummer
$10.00

Britain 5184 The Life Guards, Mounted (6 Pcs.)
Britain 5184 The Life Guards, Mounted (6 Pcs.)
$90.00

2 Royal Life Guards Toy Lead Soldiers
2 Royal Life Guards Toy Lead Soldiers
$9.99

2 Swedish Sves Life Guards Toy Lead Soldiers
2 Swedish Sves Life Guards Toy Lead Soldiers
$9.99

Russian Empire. Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
Russian Empire. Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
$9.95

PnM021 The King's Lifeguard Regt. Flagbearer by King & Country
PnM021 The King's Lifeguard Regt. Flagbearer by King & Country
$55.00

DID 1/6 K80108 The Life Guards_ Box Set _British royal dragoon Now DD059Z
DID 1/6 K80108 The Life Guards_ Box Set _British royal dragoon Now DD059Z
$198.99

Superb Vintage 1971 Hasbro GI Joe Action Man Royal Life Guard
Superb Vintage 1971 Hasbro GI Joe Action Man Royal Life Guard
$279.99

2 Swedish Sves Life Guard Marching Lead Soldiers
2 Swedish Sves Life Guard Marching Lead Soldiers
$9.99

Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 NCO Life Guar
Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 NCO Life Guar
$19.90

 41066 - Life Guard W. BRITIAN
41066 - Life Guard W. BRITIAN
$6.99

DiD 1/6 The Life Guards K80108
DiD 1/6 The Life Guards K80108
$144.99

Tin Soldiers * Colonel of the Life Guards Dragoon Regiment. Russia * 54-60 mm *
Tin Soldiers * Colonel of the Life Guards Dragoon Regiment. Russia * 54-60 mm *
$8.00

Prince August Toy Soldiers Wargame Diorama Sweden Life Guard w Ofc 40mm
Prince August Toy Soldiers Wargame Diorama Sweden Life Guard w Ofc 40mm
$19.95

Tin soldiers 54 mm Life Guards colonel Ulan regiment. Russia, 1910-14  years
Tin soldiers 54 mm Life Guards colonel Ulan regiment. Russia, 1910-14 years
$9.87

Britains 00157 Band Of The Life Guards (5pcs)
Britains 00157 Band Of The Life Guards (5pcs)
$45.00

lead soldiers
lead soldiers
$5.78

Britains 54mm British 1893 1st Life Guards Trooper 120th Anniversary 49033
Britains 54mm British 1893 1st Life Guards Trooper 120th Anniversary 49033
$40.00

Tin soldiers 54 mm Drummer life guards cavalry regiment Pavlovsky regiment Russ.
Tin soldiers 54 mm Drummer life guards cavalry regiment Pavlovsky regiment Russ.
$9.87

DID 1/6 Scale The Life Guards British Royal Dragoons loose Metal Helmet
DID 1/6 Scale The Life Guards British Royal Dragoons loose Metal Helmet
$29.95

William Britains Toy Soldiers- Life Guard
William Britains Toy Soldiers- Life Guard
$5.00

Crescent 60mm Life Guard Two Different Grendiers
Crescent 60mm Life Guard Two Different Grendiers
$4.99

William Britains Toy Soldiers- Life Guard
William Britains Toy Soldiers- Life Guard
$5.00

W Britains Scots Life Guard Trumpeter Mounted Metal 41077 White Horse
W Britains Scots Life Guard Trumpeter Mounted Metal 41077 White Horse
$17.99

BRITAINS Mounted - Lifeguard Mounted - #7230
BRITAINS Mounted - Lifeguard Mounted - #7230
$5.00

WBritain Toy Soldiers Life Guard Trumpeter 8104 Mounted With Base
WBritain Toy Soldiers Life Guard Trumpeter 8104 Mounted With Base
$9.50

5 pc Set #1 Lifeguards Life Guards Vintage Britains Toy Solders c. 1946-1960
5 pc Set #1 Lifeguards Life Guards Vintage Britains Toy Solders c. 1946-1960
$138.00

DiD British Life Guard Royal Dragoons 1:6 Boxed Figure K80108
DiD British Life Guard Royal Dragoons 1:6 Boxed Figure K80108
$155.99

Britains 54mm Archive Collection British Life Guard 50007C
Britains 54mm Archive Collection British Life Guard 50007C
$25.00

DID 1/6 Scale The Life Guards British Royal Dragoons loose Head Sculpt
DID 1/6 Scale The Life Guards British Royal Dragoons loose Head Sculpt
$32.95

Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
$22.99

William Britain 41074 Life Guard Mounted
William Britain 41074 Life Guard Mounted
$19.80

DID 1/6 K80108 80108 The Life Guards British royal dragoon IN STOCK
DID 1/6 K80108 80108 The Life Guards British royal dragoon IN STOCK
$188.99

Cavalry officer of the Life Guards. Sweden, 1807 54 mm, tin alloy, acrylic
Cavalry officer of the Life Guards. Sweden, 1807 54 mm, tin alloy, acrylic
$25.00

William Britain 41069 Sentry Box and 41066 Life Guard
William Britain 41069 Sentry Box and 41066 Life Guard
$12.00

W Britain New Metal Model Ceremonial Series, 41066 Life Guard Foot
W Britain New Metal Model Ceremonial Series, 41066 Life Guard Foot
$7.50

Tin miniature  54 mm Drum-Major the Life guards  Russia, 1814-15 HAND PAINTED
Tin miniature 54 mm Drum-Major the Life guards Russia, 1814-15 HAND PAINTED
$31.49

Minuature Toy Soldier - The Queen's Royal Mounted Life Guard 4.5
Minuature Toy Soldier - The Queen's Royal Mounted Life Guard 4.5" in tall
$12.00

Chief officer of the Life Guards Regiment 54mm #43
Chief officer of the Life Guards Regiment 54mm #43
$11.00

Tin Soldiers * Cavalry officer of the Life Guards. Sweden, 1807 * 54-60 mm *
Tin Soldiers * Cavalry officer of the Life Guards. Sweden, 1807 * 54-60 mm *
$8.00

Purchased at Buckingham Palace: Life Guard Mounted Cavalry Officer still pkg
Purchased at Buckingham Palace: Life Guard Mounted Cavalry Officer still pkg
$21.00

Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
$85.00

BRITAINS TOY SOLDIERS DRAGOON LIFE GUARDS ??? MOUNTED LOT OF 4
BRITAINS TOY SOLDIERS DRAGOON LIFE GUARDS ??? MOUNTED LOT OF 4
$9.99

BRITAINS TOY SOLDIERS LEAD LIFE GUARDS MOUNTED AND FOOT SENTRIES  6 PIECES
BRITAINS TOY SOLDIERS LEAD LIFE GUARDS MOUNTED AND FOOT SENTRIES 6 PIECES
$50.00

Britains 7230 Life Guard Mounted Trooper
Britains 7230 Life Guard Mounted Trooper
$13.00

Old BRITAINS 1950s Lead, The Life Guards, Mounted In Cloaks, 5 Piece Set #400
Old BRITAINS 1950s Lead, The Life Guards, Mounted In Cloaks, 5 Piece Set #400
$69.99

Tin soldiers 54 mm Officer of the Life guards Semenovsky regimen 1817-20 years
Tin soldiers 54 mm Officer of the Life guards Semenovsky regimen 1817-20 years
$9.87

TIN TOY SOLDIER 54mm: *** Cavalry officer of the Life Guards. Sweden *** NAP36
TIN TOY SOLDIER 54mm: *** Cavalry officer of the Life Guards. Sweden *** NAP36
$9.90

W Britains Scots Life Guard Standard Flag Bearer Mounted Metal 41076 Black Horse
W Britains Scots Life Guard Standard Flag Bearer Mounted Metal 41076 Black Horse
$19.99

HAMLEY'S Britain Ceremonial Special Edition #4021 LIFE GUARD SET NM/MIB
HAMLEY'S Britain Ceremonial Special Edition #4021 LIFE GUARD SET NM/MIB
$69.99

W Britain Ceremonial Collection 5 Pc Set # 00157 Band of the Life Guards w/ Box
W Britain Ceremonial Collection 5 Pc Set # 00157 Band of the Life Guards w/ Box
$74.99

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$44.99

VINTAGE EARLY BRITAINS TOY MOUNTED TOY SOLDIER w flag LIFE GUARDS PRE-WAR
VINTAGE EARLY BRITAINS TOY MOUNTED TOY SOLDIER w flag LIFE GUARDS PRE-WAR
$8.95

DID British Army The Royal Dragoon Life Guards Red Trooper 1/6 Figure IN STOCK
DID British Army The Royal Dragoon Life Guards Red Trooper 1/6 Figure IN STOCK
$164.99

Mitrecap #MVG 1/32 54mm? Trooper Life Guards & Camel White Metal Military Figure
Mitrecap #MVG 1/32 54mm? Trooper Life Guards & Camel White Metal Military Figure
$21.98

Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 Priva Life Guards 2,36
Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 Priva Life Guards 2,36" E5
$19.90

BRITAINS LIFE GUARD AND SENTRY BOX NEW METAL  #18232
BRITAINS LIFE GUARD AND SENTRY BOX NEW METAL #18232
$9.99

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$44.99

Denmark 1986 Military/Army/Life Guards/Barracks/Buildings 1v (n34616)
Denmark 1986 Military/Army/Life Guards/Barracks/Buildings 1v (n34616)
$1.66

Ist Life Guards Regiment COLOUR PRINT BY ALIX BAKER 2000
Ist Life Guards Regiment COLOUR PRINT BY ALIX BAKER 2000
$1.43

BRITAINS set #7226  2 Lifeguards, 2 Yeoman of the Guard & 2 Scots Guard
BRITAINS set #7226 2 Lifeguards, 2 Yeoman of the Guard & 2 Scots Guard
$25.00

BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
$14.99

Cossack Life Guards Cossack regiment, 1812 Napoleonic Wars Scale 54mm #7
Cossack Life Guards Cossack regiment, 1812 Napoleonic Wars Scale 54mm #7
$11.00

Hampton - B230 - Household Cavalry (Life Guards) - 4 pieces - Ceremonial
Hampton - B230 - Household Cavalry (Life Guards) - 4 pieces - Ceremonial
$99.00

Private Life Guards Horse-Jaeger Regiment 54mm #40
Private Life Guards Horse-Jaeger Regiment 54mm #40
$11.00

SHIP FROM USA!! DID British Army The Life Guards 1/6 Scale Action Figure K80108
SHIP FROM USA!! DID British Army The Life Guards 1/6 Scale Action Figure K80108
$129.99

Britains Metal Models Set of 3 Royals- QUEEN ELIZABETH, LIFEGUARD,HORSEGUARD HP
Britains Metal Models Set of 3 Royals- QUEEN ELIZABETH, LIFEGUARD,HORSEGUARD HP
$14.99

The Life Guards - Army Metal Figure - Made in England - Pewter Soldier
The Life Guards - Army Metal Figure - Made in England - Pewter Soldier
$29.99

Napoleonic Wars #3 drummer Battalion of the Life Guards Semenov regiment, 1812
Napoleonic Wars #3 drummer Battalion of the Life Guards Semenov regiment, 1812
$20.00

BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
$14.99

2 Swedish Sves Life Guard Officers Toy Lead Soldiers
2 Swedish Sves Life Guard Officers Toy Lead Soldiers
$9.99

Corporal Major of the Life Guards with Sovereign standard by Chass Stadden
Corporal Major of the Life Guards with Sovereign standard by Chass Stadden
$379.99

Zvezda Lifeguards Cossacks 1812-14 - 1/72
Zvezda Lifeguards Cossacks 1812-14 - 1/72
$14.99

Chief officer of the Life Guards regiment of Lithuania, 54mm #16
Chief officer of the Life Guards regiment of Lithuania, 54mm #16
$9.00

RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS REGIMENT OF FINLAND
RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS REGIMENT OF FINLAND
$49.00

LifeGuard EPDM Pond Liner Underlayment Combo 10 x 15 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 10 x 15 45 mil Lifetime Warranty
$152.06

Frontline Figures: 1FG.7 British 1st Life Guards Standard Bearer with Flag
Frontline Figures: 1FG.7 British 1st Life Guards Standard Bearer with Flag
$68.00

ACTION MAN GI JOE 40TH
ACTION MAN GI JOE 40TH "THE LIFE GUARDS "OUTFIT MIB
$89.00

Danish Royal Life Guards Cockade Hat Cap Badge Denmark
Danish Royal Life Guards Cockade Hat Cap Badge Denmark
$14.95

Private Life Guards Lancer Regiment 54mm #50
Private Life Guards Lancer Regiment 54mm #50
$11.00

RUSSIAN IMPERIAL BADGE OF LIFE GUARDS CAVALRY GRENADIER REGIMENT
RUSSIAN IMPERIAL BADGE OF LIFE GUARDS CAVALRY GRENADIER REGIMENT
$49.00

BRITAINS 8032 TOY SOLDIERS Life Guards Standard Bearer MARCHING FIGURES 7246
BRITAINS 8032 TOY SOLDIERS Life Guards Standard Bearer MARCHING FIGURES 7246
$24.99

Eaglemoss metal toy soldiers Napoleonic Wars Life Guard Gen. Strog
Eaglemoss metal toy soldiers Napoleonic Wars Life Guard Gen. Strog
$7.90

Frontline 1FG.7 Napoleonic Wars British 1 Life Guards Cavalry Trooper
Frontline 1FG.7 Napoleonic Wars British 1 Life Guards Cavalry Trooper
$62.00

BRITAINS LE SET 5184 THE LIFE GUARDS MIB WITH CERTIFICATE
BRITAINS LE SET 5184 THE LIFE GUARDS MIB WITH CERTIFICATE
$59.95

Medici Society Postcard -  by Philip Baratti - Life Guards Passing Hyde Park
Medici Society Postcard - by Philip Baratti - Life Guards Passing Hyde Park
$5.50

VINTAGE EARLY BRITAINS TOY MOUNTED TOY SOLDIER LIFE GUARDS PRE-WAR red coat
VINTAGE EARLY BRITAINS TOY MOUNTED TOY SOLDIER LIFE GUARDS PRE-WAR red coat
$8.95

VINTAGE EARLY BRITAINS TOY MOUNTED TOY SOLDIER w horn & flag LIFE GUARDS PRE-WAR
VINTAGE EARLY BRITAINS TOY MOUNTED TOY SOLDIER w horn & flag LIFE GUARDS PRE-WAR
$8.95

Breyer #3368 Life Guards of the Queens Household Cavalry 2003 Limited Edition
Breyer #3368 Life Guards of the Queens Household Cavalry 2003 Limited Edition
$129.99

Victorian British Full Colonel Life Guards Shabraque Shabrack Saddle Cloth
Victorian British Full Colonel Life Guards Shabraque Shabrack Saddle Cloth
$1,200.00

Drummer of the Life Guards Semenov regiment 1812 year Tin Figurine 54 mm TOP
Drummer of the Life Guards Semenov regiment 1812 year Tin Figurine 54 mm TOP
$19.95

W Britains  LifeGuard Trumpeter Mounted Metal  White Horse And Stand
W Britains LifeGuard Trumpeter Mounted Metal White Horse And Stand
$15.00

Britains 7230 Life Guard Trooper, Mounted
Britains 7230 Life Guard Trooper, Mounted
$13.00

From a raft 50 meters offshore, a life guard wants to swim to shore and run to a snack bar 100 meters down the?

From a raft 50 meters offshore, a life guard wants to swim to shore and run to a snack bar 100 meters down the beach.
a)if the life guard swims at 1 m/s and runs 3 m/s, express the total swimming and running time t as a function the distance x ( in other words, find t(x).
b)using your answer from part , find the minimum time.

Let a 90 degree angle be a point on shore 100 meters from the snack bar and 50 meters from the raft.

Let x = a point on the beach to swim x meters from the right angle
( 0 <= x <= 100 )

Total distance = sqrt(50^2 + x^2) + 100 - x ... in meters

t (x) = sqrt(50^2 + x^2) / 1 + (100 - x) / 3 ... in seconds

t ' (x) = x / sqrt(x^2 + 2500) - 1/3
x / sqrt(x^2 + 2500) - 1/3 = 0
x = 25 / sqrt(2)

t(25/√2) = sqrt(50^2 + (25/sqrt(2))^2) / 1 + (100 - 25/sqrt(2)) / 3
t(25/√2) = 75 / sqrt(2) + (100 - 25/sqrt(2)) / 3

(about) 80.47 seconds
by swimming to a point on the beach
100 - 25/sqrt(2) (about 82.3) meters from the snack bar

Queens Life Guard

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