Life Guards

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

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

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

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

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

2 Britains 1973 Toy Diecast Soldiers: Life Guards Household Cavalry Grenadiers
2 Britains 1973 Toy Diecast Soldiers: Life Guards Household Cavalry Grenadiers
$6.50

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

Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
$18.99

Britains Toy Soldiers Set 7218 HM Queen w/Lifeguards and Scots Guards
Britains Toy Soldiers Set 7218 HM Queen w/Lifeguards and Scots Guards
$49.00

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 Lead Toy Soldier MOUNTED LIFE GUARDS BOXED SET
BRITAINS Lead Toy Soldier MOUNTED LIFE GUARDS BOXED SET
$7.99

HTF Chas C Stadden NCO of the Life Guards Mounted Review Order Dismounted 1976
HTF Chas C Stadden NCO of the Life Guards Mounted Review Order Dismounted 1976
$85.00

W Britains Royal Life Guard Axe Bearer Farrier 7244 White Horse Toy Soldiers
W Britains Royal Life Guard Axe Bearer Farrier 7244 White Horse Toy Soldiers
$9.99

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

Wm Britain (1:32) Life Guard #41066 - Special Sale!
Wm Britain (1:32) Life Guard #41066 - Special Sale!
$7.95

Britains No. 00073 Cenetary Series Mounted Band of The Lifeguards Set 1 in Box
Britains No. 00073 Cenetary Series Mounted Band of The Lifeguards Set 1 in Box
$89.00

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

Vintage metal Toy Solders 1982 British regiments 7227 Lifeguards Horse guards
Vintage metal Toy Solders 1982 British regiments 7227 Lifeguards Horse guards
$39.99

1893 1st Life Guards Trooper, W. Britain 120th Anniversary Piece  #49033
1893 1st Life Guards Trooper, W. Britain 120th Anniversary Piece #49033
$44.99

Old BRITAINS 1950s Lead, Life Guards In Winter Cloaks, 5 Piece Set #400
Old BRITAINS 1950s Lead, Life Guards In Winter Cloaks, 5 Piece Set #400
$49.99

2 BRITAINS LIMITED Lifeguards Metal Toy Soldiers Vintage EUC
2 BRITAINS LIMITED Lifeguards Metal Toy Soldiers Vintage EUC
$21.99

Old BRITAINS England 1980s Metal, Mounted Life Guards, 3 Piece Boxed Set #7205
Old BRITAINS England 1980s Metal, Mounted Life Guards, 3 Piece Boxed Set #7205
$23.99

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

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

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

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$34.99

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

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

William Britain British Life Guard 41066
William Britain British Life Guard 41066
$19.12

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

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

Wm Britain (1:32) Life Guard Moounted Standard Bearer #41076 - Special Sale!
Wm Britain (1:32) Life Guard Moounted Standard Bearer #41076 - Special Sale!
$10.95

Metal Models Hand Painted British Regiments Mounted Lifeguard Horse Britains
Metal Models Hand Painted British Regiments Mounted Lifeguard Horse Britains
$70.00

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

Oryon ART 6020 British Cavalry 1st REGT.
Oryon ART 6020 British Cavalry 1st REGT. "Life Guards" 1815 toy soldiers. Metal
$80.50

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

Old BRITAINS Lead, Life Guards In State Dress, From Set #2067, c.1950s England
Old BRITAINS Lead, Life Guards In State Dress, From Set #2067, c.1950s England
$24.99

Britains Britain (?) metal toy soldier Life Guard Trumpeter on a wood base
Britains Britain (?) metal toy soldier Life Guard Trumpeter on a wood base
$10.00

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

6 Metal Hand Painted Toy British Cavalry Horse Soldiers Lifeguards Original Box
6 Metal Hand Painted Toy British Cavalry Horse Soldiers Lifeguards Original Box
$58.28

Britains From Set # 400 ( 5 Pc.) Life Guards Winter Dress
Britains From Set # 400 ( 5 Pc.) Life Guards Winter Dress
$90.00

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

DID 1:6 British The Life Guards, The Royal Dragoons
DID 1:6 British The Life Guards, The Royal Dragoons
$149.99

Britains #00073 Cenetary Series Mounted Band of the Lifeguards Set 1 MINT
Britains #00073 Cenetary Series Mounted Band of the Lifeguards Set 1 MINT
$135.00

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

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

Breyer Life Guards of the Queen's Household Cavalry, Model only
Breyer Life Guards of the Queen's Household Cavalry, Model only
$30.99

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

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 Life Guards
Britains toy soldiers Life Guards
$25.00

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

Britains Set # 9406 Life Guard Band 12 Pc Boxed Set 101
Britains Set # 9406 Life Guard Band 12 Pc Boxed Set 101
$345.00

NEW Breyer Life Guards of the Queen
NEW Breyer Life Guards of the Queen"s Household Cavalry #3368 LIMITED ED #4587
$59.99

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

REVELL 02578 NAPOLEONIC BRITISH LIFE GUARDS. 1/72 SCALE painted 12x
REVELL 02578 NAPOLEONIC BRITISH LIFE GUARDS. 1/72 SCALE painted 12x
$50.00

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
$460.00

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

BRITAINS LTD 6 FIGURES + 2 MOUNTED + 3 GUARD HOUSE ROYAL LIFE GUARDS 1970s
BRITAINS LTD 6 FIGURES + 2 MOUNTED + 3 GUARD HOUSE ROYAL LIFE GUARDS 1970s
$15.99

OF32LG001 - Life Guard - Oxford Diecast
OF32LG001 - Life Guard - Oxford Diecast
$14.95

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

Vintage britains lead toy soldiers mounted lifeguard grenadier cavalry
Vintage britains lead toy soldiers mounted lifeguard grenadier cavalry
$65.00

Britains England Scots Life Guard Trumpeter White Horse  Metal Toy Soldiers 1994
Britains England Scots Life Guard Trumpeter White Horse Metal Toy Soldiers 1994
$13.19

My Bruvver In The Life Guards 1940 Jack Warner
My Bruvver In The Life Guards 1940 Jack Warner
$8.08

Vintage John Hinde Original Life Guards Horse Whitehall London UK Postcard
Vintage John Hinde Original Life Guards Horse Whitehall London UK Postcard
$4.80

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Metal Sword Set
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Metal Sword Set
$32.95

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
$22.90

Old BRITAINS 1950s Lead, British Life Guards Mounted w/Officer, 5 Piece Set #1
Old BRITAINS 1950s Lead, British Life Guards Mounted w/Officer, 5 Piece Set #1
$49.99

Old BRITAINS Lead, Life Guards Trooper In Cloak, From Set #400, c.1950s England
Old BRITAINS Lead, Life Guards Trooper In Cloak, From Set #400, c.1950s England
$14.99

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


"YMCA Life Guards" Fine art Print~C.E. Turner~ Gay Int.20% to Human Rights
$34.95

Britains Royal Guards, Lifeguard
Britains Royal Guards, Lifeguard
$16.98

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

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

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

OFFICER OF THE LIFE GUARDS   UK PRINTS  SIGNED
OFFICER OF THE LIFE GUARDS UK PRINTS SIGNED
$4.00

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

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

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

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

Vintage Britains Set Number 1
Vintage Britains Set Number 1 "The Life Guards" in original box
$129.00

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

Breyer traditional Life Guards of the Queens Household Cavalry #3368
Breyer traditional Life Guards of the Queens Household Cavalry #3368
$75.00

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

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Red Jacket
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Red Jacket
$16.95

Band of the Life Guards : Prelude to Pageantry CD (2003)
Band of the Life Guards : Prelude to Pageantry CD (2003)
$5.02

THE ROYAL SALUTE Band Of The Life Guards CD NEW
THE ROYAL SALUTE Band Of The Life Guards CD NEW
$4.95

RARE Britains Band of the Lifeguards Set 101 1960's in very good condition!
RARE Britains Band of the Lifeguards Set 101 1960's in very good condition!
$163.89

BRITAINS LIFE GUARD GUIDON SOLDIER HOLDING A FLAG METAL FIGURINE *NEW*
BRITAINS LIFE GUARD GUIDON SOLDIER HOLDING A FLAG METAL FIGURINE *NEW*
$30.00

GWEN MANDLEY (1911-2004) WATERCOLOR PAINTING LIFE GUARDS IN HYDE PARK
GWEN MANDLEY (1911-2004) WATERCOLOR PAINTING LIFE GUARDS IN HYDE PARK
$85.00

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

STANDARD PARTY OF THE LIFE GUARDS  UK PRINTS  SIGNED
STANDARD PARTY OF THE LIFE GUARDS UK PRINTS SIGNED
$4.00

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

Britains Set #400 Life Guards in Winter Cloaks
Britains Set #400 Life Guards in Winter Cloaks
$155.00

Rare Queensberry Staffordshire England
Rare Queensberry Staffordshire England "Captain of the Life Guards" Coaster Dish
$9.99

LIFE GUARDS IN THE HAMPTONS - CELIA JEROME (PAPERBACK) NEW
LIFE GUARDS IN THE HAMPTONS - CELIA JEROME (PAPERBACK) NEW
$8.29

NEW Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915 by Naval
NEW Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915 by Naval
$23.17

1970's - 3 metal BRITAINS LTD Guardsman Grenadier, Life guard & beefeater NIB
1970's - 3 metal BRITAINS LTD Guardsman Grenadier, Life guard & beefeater NIB
$19.95

ATLANTIC CITY, New Jersey NJ    LIFE GUARDS  Marching on Boardwalk 1922 Postcard
ATLANTIC CITY, New Jersey NJ LIFE GUARDS Marching on Boardwalk 1922 Postcard
$7.97

1893 1st Life Guards Officer, W. Britain 120th Anniversary Piece  #49032 NEW
1893 1st Life Guards Officer, W. Britain 120th Anniversary Piece #49032 NEW
$44.99

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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