Life Guards

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

Airfix Coldstream Guard : Lifeguard : British Soldiers models
Airfix Coldstream Guard : Lifeguard : British Soldiers models
$5.00

2 Britains Toy Soldiers Lifeguards Life Guards
2 Britains Toy Soldiers Lifeguards Life Guards
$10.00

Britains Toy Soldiers Set 9205 Life Guards Mounted in Cloaks
Britains Toy Soldiers Set 9205 Life Guards Mounted in Cloaks
$44.99

1999 Britains BAND OF THE LIFE GUARDS Ceremonial Collection Lead Soldiers #00154
1999 Britains BAND OF THE LIFE GUARDS Ceremonial Collection Lead Soldiers #00154
$24.99

BRITAINS 8824 LIFE GUARD 1837 MOUNTED METAL TOY SOLDIER FIGURE MIB 1893-1993
BRITAINS 8824 LIFE GUARD 1837 MOUNTED METAL TOY SOLDIER FIGURE MIB 1893-1993
$20.55

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

Lot Vintage Plastic Herald Toy Soldiers – Mounted Lifeguards & Scots Guard/House
Lot Vintage Plastic Herald Toy Soldiers – Mounted Lifeguards & Scots Guard/House
$11.99

THE LIFE GUARDS OF THE HOUSEHOLD CAVALRY
THE LIFE GUARDS OF THE HOUSEHOLD CAVALRY
$50.00

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

King & Country - Napoleonic British Life Guards Guidon Bearer NA261 Cavalry
King & Country - Napoleonic British Life Guards Guidon Bearer NA261 Cavalry
$107.99

VINTAGE ALYMER TOY SOLDIER BOXED SET SUDAN 1882 LIFE GUARDS SPAIN METAL HORSE
VINTAGE ALYMER TOY SOLDIER BOXED SET SUDAN 1882 LIFE GUARDS SPAIN METAL HORSE
$88.00

BRITAINS LIFE GUARD GUIDON SOLDIER HOLDING A FLAG METAL FIGURINE *NEW*
BRITAINS LIFE GUARD GUIDON SOLDIER HOLDING A FLAG METAL FIGURINE *NEW*
$20.00

William Britain 41074 Life Guard Mounted
William Britain 41074 Life Guard Mounted
$17.95

Britains Set No. 1, Life Guards Mounted at Walk with Officer,  Boxed.
Britains Set No. 1, Life Guards Mounted at Walk with Officer, Boxed.
$29.95

Britains Set 1 The Life Guards w/ Box
Britains Set 1 The Life Guards w/ Box
$95.00

Britains Set 9305 Life Guards And 4th Hussars 1960-66 Issue
Britains Set 9305 Life Guards And 4th Hussars 1960-66 Issue
$149.95

Britains William Britains 49032 1893 1st Life Guards Officer 120th Anniversary
Britains William Britains 49032 1893 1st Life Guards Officer 120th Anniversary
$29.99

BRITAIN SOLDIERS LIFE GUARDS IN WINTER CLOAKS WITH OFFICER  5 PCS  SET # 400
BRITAIN SOLDIERS LIFE GUARDS IN WINTER CLOAKS WITH OFFICER 5 PCS SET # 400
$80.00

WoD053 Life Guards Non Commissioned Officer by King & Country
WoD053 Life Guards Non Commissioned Officer by King & Country
$125.00

Vintage Life Guards Senior NCO Cap
Vintage Life Guards Senior NCO Cap
$49.50

Britains Set 9307 Life Guards Standard & Escort Circa 1962
Britains Set 9307 Life Guards Standard & Escort Circa 1962
$149.95

Vintage Britains Toy Soldier Set Yeoman Warder Life Guard Beefeater
Vintage Britains Toy Soldier Set Yeoman Warder Life Guard Beefeater
$24.99

@RARE@ ½ box BRITAINS No 2135 lead 3 pieces DANISH HUSSAR & LIFE GUARDS
@RARE@ ½ box BRITAINS No 2135 lead 3 pieces DANISH HUSSAR & LIFE GUARDS
$125.00

Britains Set # 400 Life Guards in Winter Cloaks
Britains Set # 400 Life Guards in Winter Cloaks
$90.00

Stadden Tradition, The Swedish Army Life Guard Palace, cavalry 1900, 54mm VE
Stadden Tradition, The Swedish Army Life Guard Palace, cavalry 1900, 54mm VE
$14.99

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

WoD052 Life Guards Officer by King & Country
WoD052 Life Guards Officer by King & Country
$129.00

BRITAINS THE LIFE GUARDS MOUNTED AND FOOT No.2029 w/ORIGINAL BOX  *BEAUTIFUL*
BRITAINS THE LIFE GUARDS MOUNTED AND FOOT No.2029 w/ORIGINAL BOX *BEAUTIFUL*
$119.95

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

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

BRITAINS Lead Toy Soldier MOUNTED LIFE GUARD Broken Sword
BRITAINS Lead Toy Soldier MOUNTED LIFE GUARD Broken Sword
$0.99

Zvezda 8030 French Imperial Old Guard and 8075 Lifeguard Polish Uhlans 1/72
Zvezda 8030 French Imperial Old Guard and 8075 Lifeguard Polish Uhlans 1/72
$8.05

Early Britains Toy Soldier Set 101 Band Life Guards
Early Britains Toy Soldier Set 101 Band Life Guards
$250.00

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

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

Hyde Park London FIRST LIFE GUARDS on PARADE 1882 Large Folio Antique Print
Hyde Park London FIRST LIFE GUARDS on PARADE 1882 Large Folio Antique Print
$35.00

WARRIORS OF THE WORLD MARX ENGLISH LIFE GUARDS HOUSEHOLD CAVALRY TOY SOLDIERS
WARRIORS OF THE WORLD MARX ENGLISH LIFE GUARDS HOUSEHOLD CAVALRY TOY SOLDIERS
$4.99

Mounted Dragoon Life Guard Toy Soldier unkown maker Britain?
Mounted Dragoon Life Guard Toy Soldier unkown maker Britain?
$30.00

Trophy of Wales Egypt & Sudan
Trophy of Wales Egypt & Sudan "SS-14A 2nd Life Guards" **TRO/9010**
$279.99

1915-1920 Venice Beach Life Guards, CA Vintage Photograph 8.5
1915-1920 Venice Beach Life Guards, CA Vintage Photograph 8.5" x 11" Reprint
$7.64

Britains Soldiers Set 8829 Second Life Guards Special Collectors Edition MIB
Britains Soldiers Set 8829 Second Life Guards Special Collectors Edition MIB
$75.00

E1 Wade Life Guards & Trooper 2 Miniature Plate Coasters
E1 Wade Life Guards & Trooper 2 Miniature Plate Coasters
$11.99

Band of Life Guards From the Big Screen CD
Band of Life Guards From the Big Screen CD
$6.40


"THE LIFE GUARDS UNITED KINGDOOM" Sterling Silver Emblem.
$19.99


"YMCA Life Guards" Fine art Print~C.E. Turner~ Gay Interest
$34.95

BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED CLARINET (PC1)
BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED CLARINET (PC1)
$25.00

BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED TENOR HORN (PC1)
BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED TENOR HORN (PC1)
$25.00

BRITAINS 1899 LIFE GUARD BANDSMEN (MOUNTED) EUPHONIUM (PC1)
BRITAINS 1899 LIFE GUARD BANDSMEN (MOUNTED) EUPHONIUM (PC1)
$25.00

8 x tradition household cavalry life guards blues and royals model soldiers
8 x tradition household cavalry life guards blues and royals model soldiers
$34.82

ATLANTIC CITY, New Jersey NJ    LIFE GUARDS  Marching on Boardwalk 1922 Postcard
ATLANTIC CITY, New Jersey NJ LIFE GUARDS Marching on Boardwalk 1922 Postcard
$6.38

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

Postcard Mounted Senrtry (First Life Guards) Whitehall - United Kingdom - Teens
Postcard Mounted Senrtry (First Life Guards) Whitehall - United Kingdom - Teens
$1.25

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

Timpo Recast British Life Guards w Cloned Italeri Horses 54mm unpainted plastic
Timpo Recast British Life Guards w Cloned Italeri Horses 54mm unpainted plastic
$9.99

Britains Ltd Boxed Set of (6) 'The Life Guards of The Household Cavalry
Britains Ltd Boxed Set of (6) 'The Life Guards of The Household Cavalry"
$250.00

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 Toy Soldier
Britains Life Guard Toy Soldier
$10.00

Britains Toy Soldier set #2 Royal Horse Guard & 2067 Life Guard
Britains Toy Soldier set #2 Royal Horse Guard & 2067 Life Guard
$90.75

BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED BASS TROMBONE (PC1)
BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED BASS TROMBONE (PC1)
$25.00

BRITAINS 7218 HM QUEEN LIFEGUARD SCOTS GUARD METAL TOY SOLDIER FIGURE SET
BRITAINS 7218 HM QUEEN LIFEGUARD SCOTS GUARD METAL TOY SOLDIER FIGURE SET
$84.00

Britain's Soldiers Regiments of AllNations The Life Guards No 2029
Britain's Soldiers Regiments of AllNations The Life Guards No 2029
$80.00

Lasset Studio Painted Stadden 75mm British Lifeguard Excellent!
Lasset Studio Painted Stadden 75mm British Lifeguard Excellent!
$159.99

WoD054 Life Guards Trooper by King & Country
WoD054 Life Guards Trooper by King & Country
$125.00

Britains # 7246 Lifeguard Standard Bearer - Hand Painted - NIB
Britains # 7246 Lifeguard Standard Bearer - Hand Painted - NIB
$14.99

Life Guards Cloth Title British Army
Life Guards Cloth Title British Army
$10.00

H.M. Queen Elizabeth's Life Guards - 7 figures - 1:32 Britains' painted metal
H.M. Queen Elizabeth's Life Guards - 7 figures - 1:32 Britains' painted metal
$60.00

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

1939 Tuck's Oilette Postcard - Britain's 1st Life Guards
1939 Tuck's Oilette Postcard - Britain's 1st Life Guards
$5.29

 AIP Egypt and Sudan British Cavalry Lifeguards on Horseback: 10pc 643813055258
AIP Egypt and Sudan British Cavalry Lifeguards on Horseback: 10pc 643813055258
$17.57

Britains Metal Mounted Lifeguard & Drum Horse Toy Soldier
Britains Metal Mounted Lifeguard & Drum Horse Toy Soldier
$27.99

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

BRITIANS, DEETAIL, METAL, LIFE GUARD, RED, CCT1511
BRITIANS, DEETAIL, METAL, LIFE GUARD, RED, CCT1511
$9.99

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

6 1946 Life Guards Coney Island Brooklyn NYC Old Photo Negative Lot 322A
6 1946 Life Guards Coney Island Brooklyn NYC Old Photo Negative Lot 322A
$9.99

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

Old BRITAINS 1988 Metal, Life Guard Trumpeters On White Horses
Old BRITAINS 1988 Metal, Life Guard Trumpeters On White Horses
$8.99

King & Country - Napoleonic British Life Guard Charging w/ Sword Down NA263
King & Country - Napoleonic British Life Guard Charging w/ Sword Down NA263
$99.99

Tin soldier, figure. Colonel of the Life Guards Dragoon Regiment. Russia  54 mm
Tin soldier, figure. Colonel of the Life Guards Dragoon Regiment. Russia 54 mm
$19.99

VINTAGE 1971 GI JOE ACTION MAN PALITOY LIFE GUARD SCABBARD SWORD BELT PARTS
VINTAGE 1971 GI JOE ACTION MAN PALITOY LIFE GUARD SCABBARD SWORD BELT PARTS
$12.00

Life Guards On Duty, Cape May Beach Patrol, Cape May, New Jersey NJ 1963
Life Guards On Duty, Cape May Beach Patrol, Cape May, New Jersey NJ 1963
$8.95

BRITIANS HERALDS QUEENS GUARDS  AND LIFE GUARDS
BRITIANS HERALDS QUEENS GUARDS AND LIFE GUARDS
$9.06

Playmobil,FEMALE LIFE GUARDS,LOT OF 2 FIGURES
Playmobil,FEMALE LIFE GUARDS,LOT OF 2 FIGURES
$5.99

BRITAINS HOUSEHOLD CAVALRY/ LIFE GUARD W/ SWORD METAL FIGURINE NEW #62984
BRITAINS HOUSEHOLD CAVALRY/ LIFE GUARD W/ SWORD METAL FIGURINE NEW #62984
$20.00

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

Life Guards Sentry, Whitehall; London, England; UK postcard; unmailed
Life Guards Sentry, Whitehall; London, England; UK postcard; unmailed
$4.89

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

WW1 or WW2 British GVR First Life Guards Hat Cap Badge Pin. 1 1/2
WW1 or WW2 British GVR First Life Guards Hat Cap Badge Pin. 1 1/2" B11
$20.00

King & Country - Napoleonic British Life Guards Charging Bugler NA260 Cavalry
King & Country - Napoleonic British Life Guards Charging Bugler NA260 Cavalry
$99.99

Life Guards to the Rescue Atlantic City  NJ                          6800
Life Guards to the Rescue Atlantic City NJ 6800
$1.80

S SCALE MODEL RAILROAD TRAIN NAVY COAST GUARD MARINES LIFE GUARDS RESCUE FIGURES
S SCALE MODEL RAILROAD TRAIN NAVY COAST GUARD MARINES LIFE GUARDS RESCUE FIGURES
$25.00

2 Vintage Britain England Scots Life Guard Horse Metal Toy Soldiers - Excellent
2 Vintage Britain England Scots Life Guard Horse Metal Toy Soldiers - Excellent
$15.00

GWEN MANDLEY (1911-2004) WATERCOLOR PAINTING LIFE GUARDS IN HYDE PARK
GWEN MANDLEY (1911-2004) WATERCOLOR PAINTING LIFE GUARDS IN HYDE PARK
$70.00

BRITAINS LIFEGUARD MOUNTED HORSEGUARD #7230 HAND PAINTED METAL SOLDIER
BRITAINS LIFEGUARD MOUNTED HORSEGUARD #7230 HAND PAINTED METAL SOLDIER
$9.95

RPPC  Turnaround and Life Guards' Tower - Seaside, Oregon  (#289, Bayer)
RPPC Turnaround and Life Guards' Tower - Seaside, Oregon (#289, Bayer)
$9.99

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...
$20.03

BRITAINS  11PCS   5947 BLUES AND ROYALS AND LIFE GUARDS 8012
BRITAINS 11PCS 5947 BLUES AND ROYALS AND LIFE GUARDS 8012
$100.00

1905 Life Guards Atlantic City New Jersey postcard
1905 Life Guards Atlantic City New Jersey postcard
$5.99

Ladies Life Guard Long Sleeve T-Shirt
Ladies Life Guard Long Sleeve T-Shirt
$15.29

Life Magazine Red Guards Torture Most Important Man Escape From China 1967
Life Magazine Red Guards Torture Most Important Man Escape From China 1967
$5.99

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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