Life Guards

2 BRITAINS LIFE GUARDS  FOR REPAIRS
2 BRITAINS LIFE GUARDS FOR REPAIRS
$10.00

JOHILCO 4 Mounted Life Guards Cornonation Procession Series 30mm Scale  1952
JOHILCO 4 Mounted Life Guards Cornonation Procession Series 30mm Scale 1952
$9.99

Vintage Stadden, Trooper Life Guards Regiment 1900
Vintage Stadden, Trooper Life Guards Regiment 1900
$19.63

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

 BRITAINS BAND HOLLOW CAST LEAD TOY SOLDIER MOUNTED LIFE GUARDS TRUMPETER
BRITAINS BAND HOLLOW CAST LEAD TOY SOLDIER MOUNTED LIFE GUARDS TRUMPETER
$15.97

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

2nd Life Guards Button Sweetheart Brooch
2nd Life Guards Button Sweetheart Brooch
$9.80

Britains 5295 Life Guards Mounted Band Toy Soldiers Set 2 Limited Edition Models
Britains 5295 Life Guards Mounted Band Toy Soldiers Set 2 Limited Edition Models
$144.95

Painted Metal Toy Soldier. British Life Guards. Hussars, 1812. Made in USSR.
Painted Metal Toy Soldier. British Life Guards. Hussars, 1812. Made in USSR.
$13.07

Britains set #2029 Life Guard Sentries
Britains set #2029 Life Guard Sentries
$65.00

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

BRITAINS - # 8829 - THE SECOND LIFE GUARDS - MB SET
BRITAINS - # 8829 - THE SECOND LIFE GUARDS - MB SET
$39.24

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

F803) Lot of 4 Lead “BRITAINS” “Toy Life” Guards of Household Cavalry, Worn
F803) Lot of 4 Lead “BRITAINS” “Toy Life” Guards of Household Cavalry, Worn
$22.00

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

Hong Kong Copies of Britains Grendier guards &  Lifeguards 4 figures
Hong Kong Copies of Britains Grendier guards & Lifeguards 4 figures
$7.99

 2nd LIFE GUARDS ROYAL HOUSEHOLD CAVALRY BUTTON 1 Inch JENNENS
2nd LIFE GUARDS ROYAL HOUSEHOLD CAVALRY BUTTON 1 Inch JENNENS
$11.70

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

Vintage military cap badge Life guards QEII gilt back 71
Vintage military cap badge Life guards QEII gilt back 71
$6.53

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

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

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

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

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

 SERIES 77  BRITISH DRAGOON LIFE GUARD TOY SOLDIER  CAST METAL 1960'S ENGLAND
SERIES 77 BRITISH DRAGOON LIFE GUARD TOY SOLDIER CAST METAL 1960'S ENGLAND
$7.99

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

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

Marx 60mm Royal Life Guard figures in silver soft plastic lot of 2
Marx 60mm Royal Life Guard figures in silver soft plastic lot of 2
$9.99

Dragon in Dreams DID British THE BLUES & ROYALS Life Guards Royal Dragoons
Dragon in Dreams DID British THE BLUES & ROYALS Life Guards Royal Dragoons
$500.00

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

RARE VINTAGE AYNSLEY BONE CHINA PIN DISH HM SILVER SURROUND LIFE GUARDS
RARE VINTAGE AYNSLEY BONE CHINA PIN DISH HM SILVER SURROUND LIFE GUARDS
$6.53

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

The Life Guards  Cap Badge
The Life Guards Cap Badge
$15.69

1999 Lanard WOW Action Girls Lifeguard Figure Accessory & ATV Vehicle Life Guard
1999 Lanard WOW Action Girls Lifeguard Figure Accessory & ATV Vehicle Life Guard
$16.95

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

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

Lucotte Mignot CBG, lot of 5 in box French Royal Life Guard of Louis 18th, PV
Lucotte Mignot CBG, lot of 5 in box French Royal Life Guard of Louis 18th, PV
$199.99

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
$22.90

W. Britain 50007C - British Life Guard 1 Piece, 54mm Classic Metal Figure
W. Britain 50007C - British Life Guard 1 Piece, 54mm Classic Metal Figure
$5.70

Lead Life Guards - 4 Marching, 5 Kneeling, 2 painted
Lead Life Guards - 4 Marching, 5 Kneeling, 2 painted
$17.00

Eaglemoss metal toy soldiers Napoleonic Wars 1813 Grenadier Life Guard 2,36
Eaglemoss metal toy soldiers Napoleonic Wars 1813 Grenadier Life Guard 2,36" E22
$11.90

The new queen`s life guards arriving at the Horse Guards London
The new queen`s life guards arriving at the Horse Guards London
$4.50

*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

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

Her Majesty Queen Elisabeth life guards salute outside Buckingham British army
Her Majesty Queen Elisabeth life guards salute outside Buckingham British army
$4.50

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

1893 1st Life Guards Officer, W. Britain 120th Anniversary Piece  #49032 NEW
1893 1st Life Guards Officer, W. Britain 120th Anniversary Piece #49032 NEW
$49.99

Ocean City MD US Life Saving Station Life Guards Medical Medicine Beach Postcard
Ocean City MD US Life Saving Station Life Guards Medical Medicine Beach Postcard
$9.99

GV Second Life Guards Sweetheart Brooch Badge Gilt and enamel 40mm tall
GV Second Life Guards Sweetheart Brooch Badge Gilt and enamel 40mm tall
$35.31

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

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

1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey  2 Pics
1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey 2 Pics
$8.35

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!
$181.87

Life Guards in the Hamptons: A Willow Tate Novel
Life Guards in the Hamptons: A Willow Tate Novel
$3.97

DR JIM STAMPS LIFE GUARDS MARCHING THROUGH PARK UK POSTCARD
DR JIM STAMPS LIFE GUARDS MARCHING THROUGH PARK UK POSTCARD
$1.04

TIN 54mm SOLDIER painted soldier grenadier of the Life Guards Pavlovsky Regiment
TIN 54mm SOLDIER painted soldier grenadier of the Life Guards Pavlovsky Regiment
$8.90

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

Victory Medal. Trooper 2nd Life Guards. Chelsea man. Very rare unit. Mack
Victory Medal. Trooper 2nd Life Guards. Chelsea man. Very rare unit. Mack
$35.44

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

Napoleonic Wars №118. The non-commissioned officer of the Life Guards Regiment
Napoleonic Wars №118. The non-commissioned officer of the Life Guards Regiment
$12.99

The Life Guards Brass Shoulder Title, British Army
The Life Guards Brass Shoulder Title, British Army
$6.07

WET Magazine - Mud & Milk Baths! Rolfing! Hunky '70s Life Guards!  Aug/Sept '77!
WET Magazine - Mud & Milk Baths! Rolfing! Hunky '70s Life Guards! Aug/Sept '77!
$35.00

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

Our Army officer in the Life Guards Hussar Regiment 1809-1812 #2 na -
Our Army officer in the Life Guards Hussar Regiment 1809-1812 #2 na -
$15.99

LIFE GUARDS SENTRY UNIFORM, LONDON
LIFE GUARDS SENTRY UNIFORM, LONDON
$5.00

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

Band Life Guards: Horse of the Year.  DJM 22005
Band Life Guards: Horse of the Year. DJM 22005
$7.84

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

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

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

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
$22.90

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
$11.90

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

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

NWT Collectible Vintage Reyn Spooner Hawaiian Water Men Life Guards ALOHA Shirt
NWT Collectible Vintage Reyn Spooner Hawaiian Water Men Life Guards ALOHA Shirt
$85.00

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

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

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

VTG Lot of 4 1940s+ Metal Britains Ltd Life Guards & Others w/Horses-all injured
VTG Lot of 4 1940s+ Metal Britains Ltd Life Guards & Others w/Horses-all injured
$1.99

Rare
Rare "Musik for konge og folk" Historical Recordings of Royal Danish Life Guards
$8.99

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

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

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

The Household Cavalry / Life Guards Embroidered Officer's QC Cap Badge
The Household Cavalry / Life Guards Embroidered Officer's QC Cap Badge
$22.78

Band of HM Life Guards: Famous Marches & Waltzes. '71 Contour
Band of HM Life Guards: Famous Marches & Waltzes. '71 Contour
$7.84

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
$19.99

Second Life Guards  Cap Badge
Second Life Guards Cap Badge
$15.69

British Army:  Life Guards Shoulder flash - WWII era
British Army: Life Guards Shoulder flash - WWII era
$7.59

TOY SOLDIERS BRITAINS SWOPPETS EYES RIGHT SOVEREIGN ESCORT LIFE GUARD CAVALRY
TOY SOLDIERS BRITAINS SWOPPETS EYES RIGHT SOVEREIGN ESCORT LIFE GUARD CAVALRY
$24.99

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
$22.90

cWW1 BRITISH SECOND LIFE GUARDS KGV BADGE WITH SLIDER.
cWW1 BRITISH SECOND LIFE GUARDS KGV BADGE WITH SLIDER.
$17.87

BUCKINGHAM PALACE AND THE QUEEN LIFE GUARDS, LONDON - TWO 4
BUCKINGHAM PALACE AND THE QUEEN LIFE GUARDS, LONDON - TWO 4" X 6" POSTCARDS
$1.50

Life Guards Officer’s Waist Belt Plate
Life Guards Officer’s Waist Belt Plate
$163.55

Frontline 1fg.6. Napoleonic British 1st Life Guards Officer 1/32 MIB
Frontline 1fg.6. Napoleonic British 1st Life Guards Officer 1/32 MIB
$55.00

1st LIFE GUARDS. Gale & Polden
1st LIFE GUARDS. Gale & Polden "DRUM HORSES" Series c1906
$5.89

Band Of The Life Guards: England Made Me. DJM DJLPS 436
Band Of The Life Guards: England Made Me. DJM DJLPS 436
$7.84

BRITISH ARMY CAP BADGE. THE LIFE GUARDS.
BRITISH ARMY CAP BADGE. THE LIFE GUARDS.
$9.15

HM Life Guards Band Community Song Selection Broadcast Vocalion 430 - A/B
HM Life Guards Band Community Song Selection Broadcast Vocalion 430 - A/B
$13.07

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

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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