Life Guards

2 Rare Well Painted Britains?? 54mm lead/metal Life Guards & 1 Horse!!
2 Rare Well Painted Britains?? 54mm lead/metal Life Guards & 1 Horse!!
$15.00

BRITAINS Lead Soldiers -  Mounted Life Guards? - 3pcs
BRITAINS Lead Soldiers - Mounted Life Guards? - 3pcs
$30.00

Vintage Britains Set #101 12 Pc. Life Guards Band
Vintage Britains Set #101 12 Pc. Life Guards Band
$299.95

Britains Boxed Set, #2029, Life Guards Mounted and Foot. Old Hollowcast
Britains Boxed Set, #2029, Life Guards Mounted and Foot. Old Hollowcast
$70.88

Britains Queen Elizabeth,Mounted Life Guard,& Royal House Guard Set 1970's Metal
Britains Queen Elizabeth,Mounted Life Guard,& Royal House Guard Set 1970's Metal
$15.00

Vintage Britains       British  Lifeguards both mounted and foot Guards
Vintage Britains British Lifeguards both mounted and foot Guards
$9.99

W. BRITIAN Set 5195 Life Guards Mounted Band #1 Limited Edition
W. BRITIAN Set 5195 Life Guards Mounted Band #1 Limited Edition
$69.99

Vintage Britains The Life Guards # 400 EB
Vintage Britains The Life Guards # 400 EB
$8.99

DiD 1/6 The Life Guards K80108 MIB
DiD 1/6 The Life Guards K80108 MIB
$142.49

British Ceremonial Toy Soldiers - larger scale - Life Guards, Blues
British Ceremonial Toy Soldiers - larger scale - Life Guards, Blues
$20.00

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

Britains Mounted Life Guards Lot  (All 4 Pieces)
Britains Mounted Life Guards Lot (All 4 Pieces)
$46.04

Lead Toy Soldiers Britains Royal Life Guards from set 1, Lot of 2
Lead Toy Soldiers Britains Royal Life Guards from set 1, Lot of 2
$15.99

3 Vintage Britains 1/35 scale Painted metal Life Guard Soldiers on Horseback
3 Vintage Britains 1/35 scale Painted metal Life Guard Soldiers on Horseback
$15.00

2 Britains Toy Metal Soldiers: Life Guards of Household Cavalry Grenadiers 1973
2 Britains Toy Metal Soldiers: Life Guards of Household Cavalry Grenadiers 1973
$14.00

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

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

DF Grieve 65mm Blues & Royal or Life guards
DF Grieve 65mm Blues & Royal or Life guards
$10.00

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

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
$28.01

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

Eaglemoss metal toy soldiers Napoleonic War Lot of 4 Grenadier Life Guards E24
Eaglemoss metal toy soldiers Napoleonic War Lot of 4 Grenadier Life Guards E24
$18.32

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

*rare* unusual Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
*rare* unusual Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
$152.00

VINTAGE-1971-PALITOY-12
VINTAGE-1971-PALITOY-12"-ACTION MAN-"BLUES & ROYALS" OR "LIFE GUARDS"-BOOTS-1976
$10.99

Britains Set #9205 (Set 400 reissue) Life Guards Mounted with Cloaks OB 1960s
Britains Set #9205 (Set 400 reissue) Life Guards Mounted with Cloaks OB 1960s
$9.99

 Britains Herald 4820 Mounted Lifeguards set of 3
Britains Herald 4820 Mounted Lifeguards set of 3
$9.00

BRITAINS 00154 BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE 8 PIECE SET
BRITAINS 00154 BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE 8 PIECE SET
$89.95

Vintage Lot Britains Plastic Mounted Queens Guards LifeGuards White Black Horse
Vintage Lot Britains Plastic Mounted Queens Guards LifeGuards White Black Horse
$9.99

DID 1/6 Royal Cavalry (red) The Life Guards Without Horse K80108 Action Figure
DID 1/6 Royal Cavalry (red) The Life Guards Without Horse K80108 Action Figure
$139.99

Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 NCO Life Guards 2,36
Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 NCO Life Guards 2,36" E3
$18.32

6 Vintage Britains British Regiments Toy Soldiers 7227 Lifeguards Horseguards
6 Vintage Britains British Regiments Toy Soldiers 7227 Lifeguards Horseguards
$22.99

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 8824 Life Guard 1837 Centenary Collection
Britains 8824 Life Guard 1837 Centenary Collection
$15.00

Britains From Set #1 The Lifeguards Very Good Condition (5 pieces)
Britains From Set #1 The Lifeguards Very Good Condition (5 pieces)
$65.99

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 *
$7.36

Tin Soldiers 54mm Cavalry officer of the Life Guards. Sweden 1807 N-36
Tin Soldiers 54mm Cavalry officer of the Life Guards. Sweden 1807 N-36
$5.00

Napoleonic wars 54 mm chief officer of the Life Guards Regiment, 1812
Napoleonic wars 54 mm chief officer of the Life Guards Regiment, 1812
$4.99

BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
$2.99

Britains Life Guard, from set #400, old hollowcast
Britains Life Guard, from set #400, old hollowcast
$6.88

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

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

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

1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey  2 Pics
1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey 2 Pics
$7.95

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

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

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

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

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

1/32, 54mm ORYON COLLECTION CAST METAL BRITISH CAVALRY 1st REG.LIFE GUARDS 1815
1/32, 54mm ORYON COLLECTION CAST METAL BRITISH CAVALRY 1st REG.LIFE GUARDS 1815
$7.50

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

Lot of 4 Britains diecast toy soldiers Life Guards and Horse Guards on foot 1973
Lot of 4 Britains diecast toy soldiers Life Guards and Horse Guards on foot 1973
$9.99

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

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

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

Old BRITAINS 1960 Lead, The Life Guard Sentries, 5 Piece Boxed Set #2029
Old BRITAINS 1960 Lead, The Life Guard Sentries, 5 Piece Boxed Set #2029
$45.99

TIN TOY SOLDIER 54mm: *** Cavalry officer of the Life Guards. Sweden *** NAP36
TIN TOY SOLDIER 54mm: *** Cavalry officer of the Life Guards. Sweden *** NAP36
$7.92

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
$6.76

1:6 DiD THE LIFE GUARDS BRITISH ROYAL DRAGOONS ACTION FIGURE K80108 NIB
1:6 DiD THE LIFE GUARDS BRITISH ROYAL DRAGOONS ACTION FIGURE K80108 NIB
$159.99

W BRITAIN  Mounted Kettle Drummer of the Band of the Life Guard 1988 31/2
W BRITAIN Mounted Kettle Drummer of the Band of the Life Guard 1988 31/2" metal
$17.50

Britains Metal Guards Set Beefeater,Life Guard, & Grenadier Guard Lead Soldiers
Britains Metal Guards Set Beefeater,Life Guard, & Grenadier Guard Lead Soldiers
$12.00

Britains Metal Guards Set Beefeater,Life Guard, & Grenadier Guard Lead Soldiers
Britains Metal Guards Set Beefeater,Life Guard, & Grenadier Guard Lead Soldiers
$12.00

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
$7.35

6 Metal Hand Painted Toy British Cavalry Horse Soldiers Lifeguards Original Box
6 Metal Hand Painted Toy British Cavalry Horse Soldiers Lifeguards Original Box
$79.95

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
$7.35

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

Tin soldiers 54 mm Colonel of the Life Guards Dragoon Regiment. Russia, 1910-14
Tin soldiers 54 mm Colonel of the Life Guards Dragoon Regiment. Russia, 1910-14
$7.35

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
$18.32

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

Britains New Metal 8829 Second Life Guards Special Collectors Edition MIB
Britains New Metal 8829 Second Life Guards Special Collectors Edition MIB
$79.00

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
$18.95

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

W. Britain Toy Soldier Models 41074 - Life Guard Mounted
W. Britain Toy Soldier Models 41074 - Life Guard Mounted
$10.00

Russian soldier of the Life Guards Pavlovsky Regiment collectible.
Russian soldier of the Life Guards Pavlovsky Regiment collectible.
$225.00

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

2nd LIFE GUARDS Postcard by Gale & Polden - Unused
2nd LIFE GUARDS Postcard by Gale & Polden - Unused
$12.94

Britains set #2029 Life Guard Sentries
Britains set #2029 Life Guard Sentries
$49.99

DID 1:6 British The Life Guards, The Royal Dragoons
DID 1:6 British The Life Guards, The Royal Dragoons
$155.00

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

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

1st LIFE GUARDS Postcard by Gale & Polden - Unused
1st LIFE GUARDS Postcard by Gale & Polden - Unused
$12.94

Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
$20.99

JOHILLCO Lead Toy Soldier Figure ROYAL LIFEGUARDS, BOXED SET #400 Britains
JOHILLCO Lead Toy Soldier Figure ROYAL LIFEGUARDS, BOXED SET #400 Britains
$74.99

Lot Vintage Plastic Herald Toy Soldiers – Mounted Lifeguards & Scots Guard/House
Lot Vintage Plastic Herald Toy Soldiers – Mounted Lifeguards & Scots Guard/House
$19.99

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

Eaglemoss metal toy soldiers Napoleonic Wars NCO of the Life Guards 2,36
Eaglemoss metal toy soldiers Napoleonic Wars NCO of the Life Guards 2,36" E2
$9.52

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

Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
$21.99

Russian Empire. Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
Russian Empire. Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
$9.45

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

Eaglemoss metal toy soldiers Napoleonic Wars Cossack of Life Guards 2,36
Eaglemoss metal toy soldiers Napoleonic Wars Cossack of Life Guards 2,36" E19
$9.52

Britains Mounted Life Guard Winter Dress    Set 400
Britains Mounted Life Guard Winter Dress Set 400
$16.88

DID  The Life Guards Poster (26 1/2 By 19 1/2).
DID The Life Guards Poster (26 1/2 By 19 1/2).
$20.00

SET OF 2 ~ BRITAINS 7230 LIFEGUARD WITH SWORD MOUNTED
SET OF 2 ~ BRITAINS 7230 LIFEGUARD WITH SWORD MOUNTED
$36.95

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

Eaglemoss metal toy soldiers Napoleonic Wars Life Guard Gen. Stroganov 2,36
Eaglemoss metal toy soldiers Napoleonic Wars Life Guard Gen. Stroganov 2,36" E1
$10.32

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

Chief officer of the Life Guards Regiment 54mm #43
Chief officer of the Life Guards Regiment 54mm #43
$9.00

Scranton? Pennsylvania Life Guards Real Photo Antique Postcard J50125
Scranton? Pennsylvania Life Guards Real Photo Antique Postcard J50125
$12.00

Britains Colonel Lifeguards Mounted
Britains Colonel Lifeguards Mounted
$20.00

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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