Life Guards

Britains 7228 Mounted Life Guards
Britains 7228 Mounted Life Guards
$23.99

Britains Toy Soldiers Set 8824 Mounted Lifeguard 1837
Britains Toy Soldiers Set 8824 Mounted Lifeguard 1837
$14.99

The Life Guards Officers Vintage Dress Belt or Stash Crown Logo Leather
The Life Guards Officers Vintage Dress Belt or Stash Crown Logo Leather
$14.95

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

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

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

THE LIFE GUARDS SOUNDS LIKE THE BEATLES RARE 1966 lp vinyl
THE LIFE GUARDS SOUNDS LIKE THE BEATLES RARE 1966 lp vinyl
$1.00

Britain's 7247 Life Guards, Trumpeter
Britain's 7247 Life Guards, Trumpeter
$20.00

Lifeguard Whistle w/Lanyard
Lifeguard Whistle w/Lanyard
$3.95

Britains Soldiers Set 8829 Second Life Guards Special Collectors Edition MIB
Britains Soldiers Set 8829 Second Life Guards Special Collectors Edition MIB
$64.00

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

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

THE LIFE GUARDS SWEET HEARTS BADGE .H. M. ed 1915.
THE LIFE GUARDS SWEET HEARTS BADGE .H. M. ed 1915.
$19.76

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

Timpo Recast Napoleonic British Life Guards x 4 - 54mm unpainted plastic
Timpo Recast Napoleonic British Life Guards x 4 - 54mm unpainted plastic
$23.99

Britain's 7205 Life Guards (Trooper, Standard, Trumpeter) 3pcs
Britain's 7205 Life Guards (Trooper, Standard, Trumpeter) 3pcs
$30.00

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

LIFEGUARD VISOR / Embroidered- Adjustable- Red or Navy
LIFEGUARD VISOR / Embroidered- Adjustable- Red or Navy
$8.95

Lifeguard Pea Whistle + Lanyard
Lifeguard Pea Whistle + Lanyard
$4.95

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

Corgi mounted life guard soldier
Corgi mounted life guard soldier
$50.00

King and Country Life Guards Trooper WoD054
King and Country Life Guards Trooper WoD054
$125.00

1964 Life Guards Mary Eytchison & Dennis Hyland Watch Julius Bores Press Photo
1964 Life Guards Mary Eytchison & Dennis Hyland Watch Julius Bores Press Photo
$33.88

King and Country Life Guards Non Commissioned Officer WoD053
King and Country Life Guards Non Commissioned Officer WoD053
$125.00

Life Guards wearing AC PATROL Uniforms ~ATLANTIC CITY - NJ~ Early Postcard, 1905
Life Guards wearing AC PATROL Uniforms ~ATLANTIC CITY - NJ~ Early Postcard, 1905
$13.99

Tin soldier, Tambourmajor of the Life Guards. Russia, 1814-15 54 mm
Tin soldier, Tambourmajor of the Life Guards. Russia, 1814-15 54 mm
$36.00

DiD Dragon-in-Dream The Life Guards Action Figure Helmet NEW
DiD Dragon-in-Dream The Life Guards Action Figure Helmet NEW
$29.99

The Life Guards Sterling Silver Commemorative Slab - Bar United Kingdom  23.2 g
The Life Guards Sterling Silver Commemorative Slab - Bar United Kingdom 23.2 g
$64.99

Life Guards Only Stop Activity Pool LABEL DECAL STICKER
Life Guards Only Stop Activity Pool LABEL DECAL STICKER
$27.99

Britains 7248 2 Policeman, 1 Yeoman, 1 Horseguard, 1 Life Guard, 1 Scots Guard
Britains 7248 2 Policeman, 1 Yeoman, 1 Horseguard, 1 Life Guard, 1 Scots Guard
$45.00

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

The Life Guards Dress and Appointments, 1660-1914  Unifirms
The Life Guards Dress and Appointments, 1660-1914 Unifirms
$12.34

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

2nd Life Guards, State Trumpeter, unused Tuck Oilette
2nd Life Guards, State Trumpeter, unused Tuck Oilette
$6.95

HOUSEHOLD CAVALRY FOOT & LIFE GUARDS SERGEANTS LARGE FULL DRESS RANK CHEVRONS
HOUSEHOLD CAVALRY FOOT & LIFE GUARDS SERGEANTS LARGE FULL DRESS RANK CHEVRONS
$6.57

DiD Dragon-in-Dream The Life Guards Action Figure Overcoat NEW
DiD Dragon-in-Dream The Life Guards Action Figure Overcoat NEW
$15.99

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

LIFE GUARDS: Swimtime U.s.a. / Swim Party 45 Oldies
LIFE GUARDS: Swimtime U.s.a. / Swim Party 45 Oldies
$30.00

Tin Soldier, top quality, Rus, Cuirassier Her Majesty's Life Guards Regiment
Tin Soldier, top quality, Rus, Cuirassier Her Majesty's Life Guards Regiment
$249.99

Tin Soldier, top, Rus Cavalryman, Cuirassier his Majesty's Life Guards Regiment
Tin Soldier, top, Rus Cavalryman, Cuirassier his Majesty's Life Guards Regiment
$299.99

Primacare KB-8004 First Aid Fanny Pack, Life Guard - Red
Primacare KB-8004 First Aid Fanny Pack, Life Guard - Red
$7.99

Tin Soldier, top, Russian cavalry, officer Cuirassier Her Majesty's Life Guards
Tin Soldier, top, Russian cavalry, officer Cuirassier Her Majesty's Life Guards
$279.99

The Life Guards Marching Through The Park (LONDON)(Military B) #40
The Life Guards Marching Through The Park (LONDON)(Military B) #40
$7.00

Tin Soldier, collector quality, Rus, Cuirassier Her Majesty's Life Guards Reg
Tin Soldier, collector quality, Rus, Cuirassier Her Majesty's Life Guards Reg
$129.99

Tin Soldier, collector, Rus, Cuirassier Her Majesty's Life Guards Regiment
Tin Soldier, collector, Rus, Cuirassier Her Majesty's Life Guards Regiment
$139.99

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

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

LIFE GUARDS IN THE HAMPTONS - NEW PAPERBACK BOOK
LIFE GUARDS IN THE HAMPTONS - NEW PAPERBACK BOOK
$11.66

ORYON  8017 54mm British Cavalry 1st Regiment 'Life Guards' Toy Soldier 1/30
ORYON 8017 54mm British Cavalry 1st Regiment 'Life Guards' Toy Soldier 1/30
$9.99

 Antique British Household Cavalry Life Guards Officer Gold Sash figure model
Antique British Household Cavalry Life Guards Officer Gold Sash figure model
$45.00

Life Guards Only Stop Activity Sign Pool Signs Aluminum METAL Sign
Life Guards Only Stop Activity Sign Pool Signs Aluminum METAL Sign
$38.99

Russian Empire Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
Russian Empire Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
$12.00

Band of Life Guards : From the Big Screen CD
Band of Life Guards : From the Big Screen CD
$5.16

1973 STANDARD BEARER LIFE GUARDS - UNIFORM ART POSTCARD
1973 STANDARD BEARER LIFE GUARDS - UNIFORM ART POSTCARD
$5.95

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...
$22.94

Life Guards in the Hamptons: A Willow Tate Novel
Life Guards in the Hamptons: A Willow Tate Novel
$3.74

1st Life Guards Kings Guard Whitehall London England UK Postcard
1st Life Guards Kings Guard Whitehall London England UK Postcard
$6.99

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

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

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

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

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

Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915 (Paperback o
Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915 (Paperback o
$19.65

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...
$19.99

Press Photo Life Saving life guards pool - DFPD71825
Press Photo Life Saving life guards pool - DFPD71825
$19.99

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

1944 Life Guards on the beach Atlantic City New Jersey NJ Postcard
1944 Life Guards on the beach Atlantic City New Jersey NJ Postcard
$4.99

BRITAINS LIFE GUARDS MOUNTED CAVALRY WITH SWORDS LOT OF (4)
BRITAINS LIFE GUARDS MOUNTED CAVALRY WITH SWORDS LOT OF (4)
$40.00

Tin Soldier, semi-collector, English Standard bearer the horse Life Guards,54 mm
Tin Soldier, semi-collector, English Standard bearer the horse Life Guards,54 mm
$75.99

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Human Sized Gloves
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Human Sized Gloves
$5.95

Life Guards In The Hamptons: A Willow Tate Novel: By Celia Jerome
Life Guards In The Hamptons: A Willow Tate Novel: By Celia Jerome
$12.10


"Who Cares About Life Guards?", Unused Vintage Linen Comic Postcard
$3.95

Tin Soldier, semi-collector, English Officer of the horse Life Guards № 1,54 mm
Tin Soldier, semi-collector, English Officer of the horse Life Guards № 1,54 mm
$66.49

Tin Soldier, semi-collector, English Officer of the horse Life Guards № 2,54 mm
Tin Soldier, semi-collector, English Officer of the horse Life Guards № 2,54 mm
$66.49

Tin Soldier, semi-collector, English trumpeter of the horse Life Guards, 54 mm
Tin Soldier, semi-collector, English trumpeter of the horse Life Guards, 54 mm
$66.49

The Life Guards cap badge, Post 1953, gilding metal
The Life Guards cap badge, Post 1953, gilding metal
$14.95

Denmark 2008 Royal Life Guards 350th comp bklt--Attractive Topical (1400) MNH
Denmark 2008 Royal Life Guards 350th comp bklt--Attractive Topical (1400) MNH
$17.97

Life Guards in the Hamptons
Life Guards in the Hamptons
$3.99

Tuck 2nd life guards Trumpeter on Horse Military Uk postcard
Tuck 2nd life guards Trumpeter on Horse Military Uk postcard
$10.99

Life Guards Cap Badge - modern British Army issue post 1992, virtually new
Life Guards Cap Badge - modern British Army issue post 1992, virtually new
$12.98

1944 Honour Life Guards Dewar's
1944 Honour Life Guards Dewar's "White Label" Whisky AD
$8.16

Men's Classic Baywatch Beach Lifeguard Swimsuit Jacket Costume Medium 38-40
Men's Classic Baywatch Beach Lifeguard Swimsuit Jacket Costume Medium 38-40
$49.79

Lavallette NJ New Jersey Life Guards Ladies Station Homes on Ocean
Lavallette NJ New Jersey Life Guards Ladies Station Homes on Ocean
$1.95

1884 magazine engraving & article ~ LIFE GUARDS BALL at St. JAMES'S HALL ~ UK
1884 magazine engraving & article ~ LIFE GUARDS BALL at St. JAMES'S HALL ~ UK
$43.70

George Washington's Life Guards---Miniature Metal Helmet--3
George Washington's Life Guards---Miniature Metal Helmet--3" Tall On Stand--1981
$49.00

Woman's Interlock Running Shorts Lifeguard Across The Back, Arched Text
Woman's Interlock Running Shorts Lifeguard Across The Back, Arched Text
$19.99

Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915: War Diary o
Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915: War Diary o
$22.93

Life Guards Hoodie
Life Guards Hoodie
$34.18

BUBBAROPE LIFE GUARDS LENGH 2 FEET X 7.500
BUBBAROPE LIFE GUARDS LENGH 2 FEET X 7.500"
$12.00

1939 Press Photo Life Guards During Trooping of Color Parade in London
1939 Press Photo Life Guards During Trooping of Color Parade in London
$15.88

1934 Press Photo Life guards demonstrate how they search the ocean floor
1934 Press Photo Life guards demonstrate how they search the ocean floor
$16.88

British Army Badge:  The Life Guards - bronze, nhm
British Army Badge: The Life Guards - bronze, nhm
$12.95

Oxford Figurines OF32LG001 Life Guard British Household Cavalry 1:32 Scale
Oxford Figurines OF32LG001 Life Guard British Household Cavalry 1:32 Scale
$24.99

Atlantic City New Jersey Life Guards Hospital Tent Antique Postcard K30582
Atlantic City New Jersey Life Guards Hospital Tent Antique Postcard K30582
$10.00

54mm THREE Russian SOLDIERS of Life Guard Regiments 1910-1914
54mm THREE Russian SOLDIERS of Life Guard Regiments 1910-1914
$49.99

1935 Press Photo Life Guards & Royal Horse Guards Passed on Great West Road
1935 Press Photo Life Guards & Royal Horse Guards Passed on Great West Road
$19.99

Life Guards in the Hamptons: A Willow Tate Novel-ExLibrary
Life Guards in the Hamptons: A Willow Tate Novel-ExLibrary
$3.99

Vintage Print,CHARGE LIFE GUARDS,British Land+Naval Battles,Waterloo
Vintage Print,CHARGE LIFE GUARDS,British Land+Naval Battles,Waterloo
$12.00

The Life Guards - T Shirt
The Life Guards - T Shirt
$13.16

Life Guards in the Hamptons by Celia Jerome (English) Mass Market Paperback Book
Life Guards in the Hamptons by Celia Jerome (English) Mass Market Paperback Book
$11.67

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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