Life Guards

From Britains set 2029, Two Mounted Life Guards at the halt,  Hollowcast
From Britains set 2029, Two Mounted Life Guards at the halt, Hollowcast
$19.88

VINTAGE BRITAINS TOY MOUNTED TOY SOLDIER w flag LIFE GUARDS beautiful condition
VINTAGE BRITAINS TOY MOUNTED TOY SOLDIER w flag LIFE GUARDS beautiful condition
$7.50

Britains 5195 Life Guards Mounted Band Set 1 Limited Edition 5 Piece Set
Britains 5195 Life Guards Mounted Band Set 1 Limited Edition 5 Piece Set
$67.50

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

flats Napoleonic British Life Guard cavalry, painted metal 1815, Zinnfiguren FG
flats Napoleonic British Life Guard cavalry, painted metal 1815, Zinnfiguren FG
$14.99

1:6 Scale DID The Life Guards Prince Harry K80108 - White Shirt
1:6 Scale DID The Life Guards Prince Harry K80108 - White Shirt
$5.99

4 VINTAGE BRITAINS LIFE GUARDS MOUNTED  WITH OFFICER   FROM SET # 1
4 VINTAGE BRITAINS LIFE GUARDS MOUNTED WITH OFFICER FROM SET # 1
$49.95

BRITAINS LIFE GUARDS TOY SOLDIERS
BRITAINS LIFE GUARDS TOY SOLDIERS
$95.00

Reka Mounted Life Guard Officers  Both Pieces
Reka Mounted Life Guard Officers Both Pieces
$23.92

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
$19.90

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
$11.11

Vintage Britains Plastic Herald ? Soldiers 14 Lot Life Guards !!
Vintage Britains Plastic Herald ? Soldiers 14 Lot Life Guards !!
$14.99

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

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

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

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

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 LOT: 3 THREE  LIFE GUARDS MOUNTED HORSES
BRITAINS LOT: 3 THREE LIFE GUARDS MOUNTED HORSES
$29.50

Britains Mounted Life Guard Winter Dress    Set 400
Britains Mounted Life Guard Winter Dress Set 400
$17.54

DID 1/6 K80108 80108 The Life Guards British Royal
DID 1/6 K80108 80108 The Life Guards British Royal
$188.99

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

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

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 5295 THE LIFE GUARDS MOUNTED BAND LIMITED EDITION SET 2 MINT BOXED ne
BRITAINS 5295 THE LIFE GUARDS MOUNTED BAND LIMITED EDITION SET 2 MINT BOXED ne
$152.19

Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
$50.00

William Britains Life Guards
William Britains Life Guards
$27.00

BRITAINS 7227 ROYAL HOUSEHOLD LIFE GUARDS & HORSE GUARDS SOLDIER SET MIB ne
BRITAINS 7227 ROYAL HOUSEHOLD LIFE GUARDS & HORSE GUARDS SOLDIER SET MIB ne
$34.47

BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
$4.39

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

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

Britains Mounted Band of the Life Guards #1675 toy soldiers WITH ALL BOXES
Britains Mounted Band of the Life Guards #1675 toy soldiers WITH ALL BOXES
$149.95

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

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

Britains Queens Life Guards set of 4 Plastic Soldiers Nice condition!
Britains Queens Life Guards set of 4 Plastic Soldiers Nice condition!
$4.95

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

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

SWEDEN LIFE GUARD Prince August Toy Soldiers 40mm Semi-Round by Holger Eriksson
SWEDEN LIFE GUARD Prince August Toy Soldiers 40mm Semi-Round by Holger Eriksson
$15.95

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

Antique BRITAINS Lead, Second Grade Life Guards, Different Heads, Fm Early 1900s
Antique BRITAINS Lead, Second Grade Life Guards, Different Heads, Fm Early 1900s
$14.99

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

Britains Metal Models Soldiers Life Guards 9206 Set of 4 in Box 1962
Britains Metal Models Soldiers Life Guards 9206 Set of 4 in Box 1962
$89.99

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

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

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

The Life Guards - Army Metal Figure - Made in England - Pewter Soldier
The Life Guards - Army Metal Figure - Made in England - Pewter Soldier
$19.99

 BRITAINS LIMITED EDITION #5295 THE LIFE GUARDS MOUNTED BAND SET 2
BRITAINS LIMITED EDITION #5295 THE LIFE GUARDS MOUNTED BAND SET 2
$124.95

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

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

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
$32.95

DID The Life Guards (British Army) 12
DID The Life Guards (British Army) 12" action figure DID-K80108
$149.99

 Britains Set # 7830 Life Guards
Britains Set # 7830 Life Guards
$89.99

CUSTOM BRITISH LIFE GUARD BLUES ROYALS DID NAPOLEONIC SERIES ENGLAND 1/6 SCALE
CUSTOM BRITISH LIFE GUARD BLUES ROYALS DID NAPOLEONIC SERIES ENGLAND 1/6 SCALE
$85.00

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

BRITAINS #5184 LTD EDITION
BRITAINS #5184 LTD EDITION "THE LIFE GUARDS OF THE HOUSEHOLD CAVALRY". NIB
$50.00

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

life guards in the mall london cavalry uniforms
life guards in the mall london cavalry uniforms
$3.50

Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
$24.99

Life Guards ( 1st & 2nd )  Cap Badge
Life Guards ( 1st & 2nd ) Cap Badge
$8.73

Chief officer of the Life Guards Regiment 54mm #43
Chief officer of the Life Guards Regiment 54mm #43
$9.35

Private Life Guards Horse-Jaeger Regiment 54mm #40
Private Life Guards Horse-Jaeger Regiment 54mm #40
$9.35

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

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

 41066 - Life Guard W. BRITIAN
41066 - Life Guard W. BRITIAN
$9.99

BRITAINS ROYAL HOUSE LIFE GUARDS BLUES and ROYALS MARCHING BAND x 10 NICE mw
BRITAINS ROYAL HOUSE LIFE GUARDS BLUES and ROYALS MARCHING BAND x 10 NICE mw
$98.66

Cassandra 0050 Life Guard, Mounted, 2001
Cassandra 0050 Life Guard, Mounted, 2001
$15.00

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

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

Britain's 00154 Band of the Life Guards 8pcs (Pewter)
Britain's 00154 Band of the Life Guards 8pcs (Pewter)
$80.00

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
$7.95

Britains 7230 Life Guard Mounted Trooper
Britains 7230 Life Guard Mounted Trooper
$15.00

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

Asbury Park NJ: c.1907 Vintage Postcard LIFE GUARDS in their uniforms on beach
Asbury Park NJ: c.1907 Vintage Postcard LIFE GUARDS in their uniforms on beach
$6.00

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

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

William Britain 49033 1893 1st Life Guards Trooper WB 120th Anniversary Piece
William Britain 49033 1893 1st Life Guards Trooper WB 120th Anniversary Piece
$45.00

6 W. Britain - 54 mm - 41074 Life Guard Mounted
6 W. Britain - 54 mm - 41074 Life Guard Mounted
$50.00

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

1:6 Scale DID The Life Guards Prince Harry K80108 - Cartridge Bag w/ Golden Badg
1:6 Scale DID The Life Guards Prince Harry K80108 - Cartridge Bag w/ Golden Badg
$5.99

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

William Britain 49032 1893 1st Life Guards Officer WB 120th Anniversary Piece
William Britain 49032 1893 1st Life Guards Officer WB 120th Anniversary Piece
$45.00

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
$7.90

Napoleonic Wars. Cavalry officer of the Life Guards Lancer Regiment of 1812-1814
Napoleonic Wars. Cavalry officer of the Life Guards Lancer Regiment of 1812-1814
$17.00

 Sign of Life Guards Volynsk Regiment. 1917 USSR Soviet Russian medal Copy
Sign of Life Guards Volynsk Regiment. 1917 USSR Soviet Russian medal Copy
$44.99

World War 1 George V Seconcd Life Guards Cap Badge
World War 1 George V Seconcd Life Guards Cap Badge
$19.99

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

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

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

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

Private Life Guards Lancer Regiment 54mm #50
Private Life Guards Lancer Regiment 54mm #50
$9.35

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

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
$25.99

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

Lead Life Guards - 4 Marching, 5 Kneeling, 2 painted
Lead Life Guards - 4 Marching, 5 Kneeling, 2 painted
$18.93

Old BRITAINS Lead, Mounted Life Guard Band Director of Music Fm Set #101 c.1950s
Old BRITAINS Lead, Mounted Life Guard Band Director of Music Fm Set #101 c.1950s
$39.99

Napoleonic Wars №7 Cossack Life Guards Cossack Regiment, 1812
Napoleonic Wars №7 Cossack Life Guards Cossack Regiment, 1812
$8.99

Private Life Guards Dragoon Regiment in full uniform 54mm #20
Private Life Guards Dragoon Regiment in full uniform 54mm #20
$9.35

Vintage Elastolin Royal Horse Life Guard Mounted Toy Soldier 1930s Rare
Vintage Elastolin Royal Horse Life Guard Mounted Toy Soldier 1930s Rare
$51.00

RUSSIAN IMPERIAL BADGE OF LIFE GUARDS COSSACK REGIMENT OF HIS MAJESTY
RUSSIAN IMPERIAL BADGE OF LIFE GUARDS COSSACK REGIMENT OF HIS MAJESTY
$45.00

Frontline 1FG.7 Napoleonic Wars British 1 Life Guards Cavalry Trooper
Frontline 1FG.7 Napoleonic Wars British 1 Life Guards Cavalry Trooper
$52.00

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!
$255.06

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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