Life Guards

W Britains Scots Life Guard Trumpeter White Horse Toy Soldiers
W Britains Scots Life Guard Trumpeter White Horse Toy Soldiers
$10.99

2 BRITAINS LIMITED Lifeguards Metal Toy Soldiers Vintage EUC
2 BRITAINS LIMITED Lifeguards Metal Toy Soldiers Vintage EUC
$24.94

Britains Life Guards Band 5 piece #00157
Britains Life Guards Band 5 piece #00157
$34.99

1983 Britains 54mm 3 mounted Life Guards 7228 painted metal toy soldiers in box
1983 Britains 54mm 3 mounted Life Guards 7228 painted metal toy soldiers in box
$14.99

BRITAINS Lead Toy Soldier MOUNTED LIFE GUARD
BRITAINS Lead Toy Soldier MOUNTED LIFE GUARD
$3.99

BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
$16.95

Cassandra 0050 The Life Guards Mounted 2001
Cassandra 0050 The Life Guards Mounted 2001
$19.00

1983 Britains 54mm mounted Life Guard #7230 painted metal toy soldier in box
1983 Britains 54mm mounted Life Guard #7230 painted metal toy soldier in box
$9.99

Britains Toy Soldiers Set 7227 3 Lifeguards, 3 Horseguards
Britains Toy Soldiers Set 7227 3 Lifeguards, 3 Horseguards
$18.99

W.Britains Life Guard Mounted 41074
W.Britains Life Guard Mounted 41074
$20.00

Timpo Recast British Life Guards w Cloned Italeri Horses 54mm unpainted plastic
Timpo Recast British Life Guards w Cloned Italeri Horses 54mm unpainted plastic
$12.50

Britains Swedish Life Guards 54 mm Toy Soldiers
Britains Swedish Life Guards 54 mm Toy Soldiers
$39.95

Britains 41066 Life Guards FOOT (8PC)
Britains 41066 Life Guards FOOT (8PC)
$40.00

Britains 8829 The Second Life Guards - 4 Mounted Men - NIB
Britains 8829 The Second Life Guards - 4 Mounted Men - NIB
$50.00

Britains Toy Soldiers Set 7230 Lifeguard Mounted
Britains Toy Soldiers Set 7230 Lifeguard Mounted
$12.99

Britains Toy Soldiers Set 7218 HM Queen w/Lifeguards and Scots Guards
Britains Toy Soldiers Set 7218 HM Queen w/Lifeguards and Scots Guards
$44.99

Britain's The Life Guards, Farrier with Axe Mounted (1pc)
Britain's The Life Guards, Farrier with Axe Mounted (1pc)
$25.00

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

DUCAL MODEL THE LIFE GUARDS MOUNTED CORPORAL
DUCAL MODEL THE LIFE GUARDS MOUNTED CORPORAL
$50.00

Toy Soldier Great Britain 1970 Life Guard 4
Toy Soldier Great Britain 1970 Life Guard 4" Lead figure 1978 IN BOX
$9.99

Lot of 3 BRITAINS Toy Soldier MOUNTED LIFE GUARD Vintage Loose
Lot of 3 BRITAINS Toy Soldier MOUNTED LIFE GUARD Vintage Loose
$9.99

6 Metal Hand Painted Toy British Cavalry Horse Soldiers Lifeguards Original Box
6 Metal Hand Painted Toy British Cavalry Horse Soldiers Lifeguards Original Box
$52.45

BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
$1.99

Britains Life Guard Toy Soldier
Britains Life Guard Toy Soldier
$10.00

Britain's 7205 Life Guards (Trooper, Standard, Trumpeter) 3pcs
Britain's 7205 Life Guards (Trooper, Standard, Trumpeter) 3pcs
$35.00

SET OF 2 ~ BRITAINS 7230 LIFEGUARD WITH SWORD MOUNTED
SET OF 2 ~ BRITAINS 7230 LIFEGUARD WITH SWORD MOUNTED
$24.95

NIB METAL MODELS #7226
NIB METAL MODELS #7226 "2 SCOTS GUARDS, 2 LIFEGUARDS, 2 YEOMAN of the GUARD"
$29.95

Early Britains Life Guards Set 1 c1900. Tin Swords
Early Britains Life Guards Set 1 c1900. Tin Swords
$84.95

Britain's 7247 Life Guards, Trumpeter
Britain's 7247 Life Guards, Trumpeter
$25.00

Britains Toy Soldiers No 7226 2 Scots Guards 2 Life Guards 2 Yeomen Of The Guard
Britains Toy Soldiers No 7226 2 Scots Guards 2 Life Guards 2 Yeomen Of The Guard
$24.95

Britains Toy Soldiers Set 8824 Mounted Lifeguard 1837
Britains Toy Soldiers Set 8824 Mounted Lifeguard 1837
$16.00

Britains Toy Soldiers Set 7228 3 Mounted Lifeguards
Britains Toy Soldiers Set 7228 3 Mounted Lifeguards
$29.00

William Britain 49033 1893 1st Life Guards Trooper WB 120th Anniversary Piece
William Britain 49033 1893 1st Life Guards Trooper WB 120th Anniversary Piece
$35.00

BRITAINS, LIFE GUARD, CAST METAL
BRITAINS, LIFE GUARD, CAST METAL
$10.00

Vintage BRITAINS Royal Guard, Beefeater, Life Guard Set Toy Soldiers Made in UK
Vintage BRITAINS Royal Guard, Beefeater, Life Guard Set Toy Soldiers Made in UK
$34.99

Life Guards Set 40212 Hamleys w britain toy soldiers
Life Guards Set 40212 Hamleys w britain toy soldiers
$20.00

BRITAINS 7227 HORSEGUARDS AND LIFEGUARDS CEREMONIAL METAL TOY SOLDIER FIGURE SET
BRITAINS 7227 HORSEGUARDS AND LIFEGUARDS CEREMONIAL METAL TOY SOLDIER FIGURE SET
$34.95

W. BRITAIN Century Collection Life Guard 1837
W. BRITAIN Century Collection Life Guard 1837
$29.99

Britains No. 5184 Lifeguards 6x Piece Set Mounted Horse Back Calvary Boxed
Britains No. 5184 Lifeguards 6x Piece Set Mounted Horse Back Calvary Boxed
$50.00

Del Prado NC017 Officer British Life Guards Waterloo 1815 - RETIRED - MINT
Del Prado NC017 Officer British Life Guards Waterloo 1815 - RETIRED - MINT
$14.95

Marlborough Military Models Life Guard with Horn
Marlborough Military Models Life Guard with Horn
$10.00

BRITAINS LEAD TOY SOLDIERS LIFE GUARD AND POLICEMAN 3006 WITH BOX
BRITAINS LEAD TOY SOLDIERS LIFE GUARD AND POLICEMAN 3006 WITH BOX
$9.95

1:6 DID K80108 THE LIFE GUARDS BRITISH ROYAL DRAGOONS FIGURE PRINCE HARRY
1:6 DID K80108 THE LIFE GUARDS BRITISH ROYAL DRAGOONS FIGURE PRINCE HARRY
$149.00

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

BRITAINS 41066 LIFE GUARDS FOOT (9PC)
BRITAINS 41066 LIFE GUARDS FOOT (9PC)
$45.00

WILLIAM BRITAINS 5999 UNPAINTED LIFEGUARD MOUNTED METAL TOY SOLDIER *ENGLAND
WILLIAM BRITAINS 5999 UNPAINTED LIFEGUARD MOUNTED METAL TOY SOLDIER *ENGLAND
$14.95

BRITAINS 7226 TOY SOLDIERS 2 LIFEGUARDS 2 YEOMAN OF THE GUARD 2 SCOTS GUARDS
BRITAINS 7226 TOY SOLDIERS 2 LIFEGUARDS 2 YEOMAN OF THE GUARD 2 SCOTS GUARDS
$32.95

Vintage Britains Set Number 1
Vintage Britains Set Number 1 "The Life Guards" in original box
$99.00

Britains Soldiers 8829 Second Life Guards Special Collectors Edition MIB
Britains Soldiers 8829 Second Life Guards Special Collectors Edition MIB
$79.00

Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
$18.99

BRITAINS COLLECTION FOR HARRODS 5878 LIFE GUARD & SCOTS GUARD METAL TOY SOLDIERS
BRITAINS COLLECTION FOR HARRODS 5878 LIFE GUARD & SCOTS GUARD METAL TOY SOLDIERS
$19.95

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

Britains Life Guard 1837 Centenary Collection Toy Soldier #8824
Britains Life Guard 1837 Centenary Collection Toy Soldier #8824
$39.99

Britains Swoppets  or Eyes Right Mounted Life Guards # 803 Lot of 6
Britains Swoppets or Eyes Right Mounted Life Guards # 803 Lot of 6
$22.99

WBritain Toy Soldiers No 1 The Life Guards Post War Production Original Box
WBritain Toy Soldiers No 1 The Life Guards Post War Production Original Box
$95.00

William Britain British Life Guard 41066
William Britain British Life Guard 41066
$22.50

Britains Toy Soldiers Set 7246 Lifeguard Standard Bearer
Britains Toy Soldiers Set 7246 Lifeguard Standard Bearer
$12.99

Vintage metal Toy Solders 1982 British regiments 7227 Lifeguards Horse guards
Vintage metal Toy Solders 1982 British regiments 7227 Lifeguards Horse guards
$29.99

Britains Toy Soldier  Set #101 Mounted Band of The Lifeguards
Britains Toy Soldier Set #101 Mounted Band of The Lifeguards
$275.00

SAE Sweedish African Engineers Officer 1st Life Guards  in original box  **
SAE Sweedish African Engineers Officer 1st Life Guards in original box **
$12.00

BRITAINS BRITISH SOLDIERS SPECIAL 1984 LIMITED ISSUE LIFEGUARDS MODELS SET
BRITAINS BRITISH SOLDIERS SPECIAL 1984 LIMITED ISSUE LIFEGUARDS MODELS SET
$74.99

Marx 60mm English Lifeguards Set of 10, Reissued Lot 1
Marx 60mm English Lifeguards Set of 10, Reissued Lot 1
$7.95

Venice California~Life Guards Pushing the Lifeboat~Beach Bum Suits~1920 Postcard
Venice California~Life Guards Pushing the Lifeboat~Beach Bum Suits~1920 Postcard
$6.75

SET OF 6 BRITAINS LTD 44034 Guardsman Grenadier 41066 LIFE GUARD 41064 BEEFEATER
SET OF 6 BRITAINS LTD 44034 Guardsman Grenadier 41066 LIFE GUARD 41064 BEEFEATER
$37.99

Britains Toy Soldiers Cenetary Series Mounted Band of The Lifeguards w/ Box-SCE
Britains Toy Soldiers Cenetary Series Mounted Band of The Lifeguards w/ Box-SCE
$149.95

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$29.99

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
$56.24

VINTAGE HAND-PAINTED MOUNTED MILIARY LIFE GUARDS TROOPER
VINTAGE HAND-PAINTED MOUNTED MILIARY LIFE GUARDS TROOPER
$7.99

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

[63223] W. BRITAIN SET No. 2029 THE LIFE GUARDS (MOUNTED and FOOT SENTRIES)
[63223] W. BRITAIN SET No. 2029 THE LIFE GUARDS (MOUNTED and FOOT SENTRIES)
$49.99

BRITIANS HERALDS QUEENS GUARDS  AND LIFE GUARDS
BRITIANS HERALDS QUEENS GUARDS AND LIFE GUARDS
$11.24

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$24.99

W Britain 49033 British 1893 1st Life Guards Trooper Archive Collection Soldier
W Britain 49033 British 1893 1st Life Guards Trooper Archive Collection Soldier
$45.00

Lead Toy Soldiers Britains Royal Life Guards, Lot of 3
Lead Toy Soldiers Britains Royal Life Guards, Lot of 3
$23.99

LIFE GUARDS ON THE MALL LONDON OIL PAINTING SIGNED LISTED TONY KLITZ HORSE
LIFE GUARDS ON THE MALL LONDON OIL PAINTING SIGNED LISTED TONY KLITZ HORSE
$575.00

Britains Life Guards #9205 Mounted with Cloaks MIB
Britains Life Guards #9205 Mounted with Cloaks MIB
$135.99

BRITAINS 8152 HM QUEEN HORSEGUARD LIFEGUARD MOUNTED TOY SOLDIER FIGURES ON WOOD
BRITAINS 8152 HM QUEEN HORSEGUARD LIFEGUARD MOUNTED TOY SOLDIER FIGURES ON WOOD
$36.95

Vintage Old FLORIDA Postcard Ormond Beach Ellinor Village Sailboat Life Guards
Vintage Old FLORIDA Postcard Ormond Beach Ellinor Village Sailboat Life Guards
$6.99

W Britain 49032 British 1893 1st Life Guards Officer Archive Collection Soldier
W Britain 49032 British 1893 1st Life Guards Officer Archive Collection Soldier
$45.00

RP Copenhagen Denmark Kings Life Guards 1910s Postcard
RP Copenhagen Denmark Kings Life Guards 1910s Postcard
$4.99

# 404 Tin 54mm Figurine  Trumpeter Life Guards Hussars
# 404 Tin 54mm Figurine Trumpeter Life Guards Hussars
$7.99

Eaglemoss metal toy soldiers Napoleonic War Lot of 4 Cossack of Life Guards E21
Eaglemoss metal toy soldiers Napoleonic War Lot of 4 Cossack of Life Guards E21
$22.90

Cherilea British Cavalry The Life Guards
Cherilea British Cavalry The Life Guards
$19.99

25mm British Napoleonic Life Guards - 36 Mounted Figures
25mm British Napoleonic Life Guards - 36 Mounted Figures
$432.00

Vintage 1950s Britains Toy Soldiers n Box Hussars Life Guards
Vintage 1950s Britains Toy Soldiers n Box Hussars Life Guards
$175.00

Tin Soldiers * NCO Life Guards Jaeger Regiment. Russia 1914 * 54-60 mm *
Tin Soldiers * NCO Life Guards Jaeger Regiment. Russia 1914 * 54-60 mm *
$8.00

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

Life Guards : War Diary of the 1st Life Guards, First Year 1914-1915 by Naval...
Life Guards : War Diary of the 1st Life Guards, First Year 1914-1915 by Naval...
$19.57

BRITAINS HOUSEHOLD CAVALRY/ LIFE GUARD W/ SWORD METAL FIGURINE NEW #62984
BRITAINS HOUSEHOLD CAVALRY/ LIFE GUARD W/ SWORD METAL FIGURINE NEW #62984
$30.00

Playmobil,LIFE GUARDS,Male & Female,BAY WATCH
Playmobil,LIFE GUARDS,Male & Female,BAY WATCH
$11.99

BRITAINS 00157 BAND OF THE LIFE GUARDS SET MINT BOXED ne
BRITAINS 00157 BAND OF THE LIFE GUARDS SET MINT BOXED ne
$31.58

BRITAINS LIFE GUARDS MOUNTED CAVALRY WITH SWORDS LOT OF (4)
BRITAINS LIFE GUARDS MOUNTED CAVALRY WITH SWORDS LOT OF (4)
$40.00

CHARBENS Toy Soldier LIFEGUARD WITH SWORD Britains
CHARBENS Toy Soldier LIFEGUARD WITH SWORD Britains
$3.99

BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
$37.95

Britains 7230 Hand Painted Metal-Models - Mounted Lifeguard Drawn Sword - In Box
Britains 7230 Hand Painted Metal-Models - Mounted Lifeguard Drawn Sword - In Box
$18.00

Hawaii Life Guard Shirt Authentic
Hawaii Life Guard Shirt Authentic
$9.99

LIFE GUARDS IN THE HAMPTONS - CELIA JEROME (PAPERBACK) NEW
LIFE GUARDS IN THE HAMPTONS - CELIA JEROME (PAPERBACK) NEW
$11.27

8 Britains Toy Soldiers Lifeguards on foot circa  1986
8 Britains Toy Soldiers Lifeguards on foot circa 1986
$10.00

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

1893 1st Life Guards Trooper, W. Britain 120th Anniversary Piece  #49033
1893 1st Life Guards Trooper, W. Britain 120th Anniversary Piece #49033
$49.99

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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