Life Guards

Britain's 7205 Life Guards 3 Mounted Life Guards w/ Standards
Britain's 7205 Life Guards 3 Mounted Life Guards w/ Standards
$29.99

SGS-NA004 Charge of the Life Guards #1 Party by King & Country
SGS-NA004 Charge of the Life Guards #1 Party by King & Country
$499.00

Britains Ltd. Grenadier Guards, Life Guards, London Guards, metal soldiers, cc
Britains Ltd. Grenadier Guards, Life Guards, London Guards, metal soldiers, cc
$9.99

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

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

SGS-NA005 Charge of the Life Guards #2 Party by King & Country
SGS-NA005 Charge of the Life Guards #2 Party by King & Country
$399.00

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

W. BRITAIN, #5295, THE LIFE GUARDS MOUNTED BAND, SET 2, LIMITED EDITION
W. BRITAIN, #5295, THE LIFE GUARDS MOUNTED BAND, SET 2, LIMITED EDITION
$125.00

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

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

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

7 Vintage  BRITISH Royal & Life Guards Hand-painted & Casted LEAD Figures 1973
7 Vintage BRITISH Royal & Life Guards Hand-painted & Casted LEAD Figures 1973
$38.99

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

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

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

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

1983 Britains 54mm 3 Mounted Life Guards 7228 Metal Models in box
1983 Britains 54mm 3 Mounted Life Guards 7228 Metal Models in box
$19.99

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

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

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

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

rare Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
rare Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
$125.00

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

TRADITION Lead Toy Soldier THE LIFE GUARDS TROOPER MINT IN BOX Britains
TRADITION Lead Toy Soldier THE LIFE GUARDS TROOPER MINT IN BOX Britains
$9.99

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

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

Toy Soldiers 5 Plastic 60-65mm British Life Guards
Toy Soldiers 5 Plastic 60-65mm British Life Guards
$25.00

LITTLE WARS 229 DANISH LIFGARDE LIFE GUARDS MARCHING at the SLOPE nj
LITTLE WARS 229 DANISH LIFGARDE LIFE GUARDS MARCHING at the SLOPE nj
$53.85

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
$160.00


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

Drummer of the Life Guards Pavlovsky Regiment, 1884.. 54mm
Drummer of the Life Guards Pavlovsky Regiment, 1884.. 54mm
$69.00

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

1973 BRITAINS LEAD MILITARY LIFE GUARDS TROOPER MINIATURE
1973 BRITAINS LEAD MILITARY LIFE GUARDS TROOPER MINIATURE
$9.65

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

Britains Toy Soldiers Set 9205 Life Guards Mounted in Cloaks
Britains Toy Soldiers Set 9205 Life Guards Mounted in Cloaks
$43.99

1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey  2 Pics
1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey 2 Pics
$4.95

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

Vtg Britains Life Guard Mounted Calvary First Officer Sentry Box Infantry BoxSet
Vtg Britains Life Guard Mounted Calvary First Officer Sentry Box Infantry BoxSet
$59.99

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

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

A Call To Arms Plastic 1/32 Napoleonic Wars British Life Guards Cavalry Set 26
A Call To Arms Plastic 1/32 Napoleonic Wars British Life Guards Cavalry Set 26
$13.99

Britains  Mounted Band of the Life Guard Set #1 Limited Edition MIB
Britains Mounted Band of the Life Guard Set #1 Limited Edition MIB
$74.95

Britains  Mounted Band of the Life Guard Set #2 Limited Edition MIB
Britains Mounted Band of the Life Guard Set #2 Limited Edition MIB
$74.95

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
$90.00

Tamburmazhor of the Life Guards of the Izmaylovo Regiment. Russia, 1814-18. 54mm
Tamburmazhor of the Life Guards of the Izmaylovo Regiment. Russia, 1814-18. 54mm
$69.00

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

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

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

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

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
$11.99

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

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

Breyer Horse #3368 Life Guards of the Queens Household Calvary Trakehner Bay SR
Breyer Horse #3368 Life Guards of the Queens Household Calvary Trakehner Bay SR
$45.00

Life Guards in the Hamptons
Life Guards in the Hamptons
$4.12

Swimline 89870 18
Swimline 89870 18" Lifeguard Life Preserver Swimming Pool Float Safety Ring Buoy
$25.95

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

REGIMENT MAGAZINE #1 THE LIFE GUARDS
REGIMENT MAGAZINE #1 THE LIFE GUARDS
$10.00

W Britain No. 400 (or 429) Life Guards Winter Cloaks 4 Soldiers likely pre war
W Britain No. 400 (or 429) Life Guards Winter Cloaks 4 Soldiers likely pre war
$66.00

California Lifeguard Straw Palm Fiber Mens Beach Hat Sun Wide Brim One Size DPC
California Lifeguard Straw Palm Fiber Mens Beach Hat Sun Wide Brim One Size DPC
$25.99

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

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

W Britains - Set 1 - 1st Life Guards 1925 Metal Toy Soldiers illustrated Box
W Britains - Set 1 - 1st Life Guards 1925 Metal Toy Soldiers illustrated Box
$203.98

BRITAINS 5195 THE LIFE GUARDS MOUNTED BAND LIMITED EDITION SET 1 MINT BOXED nj
BRITAINS 5195 THE LIFE GUARDS MOUNTED BAND LIMITED EDITION SET 1 MINT BOXED nj
$121.97

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

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

2016 FORD F-150 Lifeguard Beach Patrol with Accessories Rescue 911 Truck A1A
2016 FORD F-150 Lifeguard Beach Patrol with Accessories Rescue 911 Truck A1A
$4.99

Breyer horses Life Guards of the Queen's Household Cavary
Breyer horses Life Guards of the Queen's Household Cavary
$80.75

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

British Army Badge:  Second Life Guards - brass, nhm
British Army Badge: Second Life Guards - brass, nhm
$9.95

Fairy Tales Lifeguard Shampoo (12 Fl Oz)
Fairy Tales Lifeguard Shampoo (12 Fl Oz)
$8.95

BREYER THE LIFE GUARDS OF THE QUEEN'S HOUSEHOLD CAVALRY HORSE SET NO. 3368
BREYER THE LIFE GUARDS OF THE QUEEN'S HOUSEHOLD CAVALRY HORSE SET NO. 3368
$59.99

Britains Toy Soldier Set 8003 Yeoman Warder Life Guard Foot Policemen Sentry Box
Britains Toy Soldier Set 8003 Yeoman Warder Life Guard Foot Policemen Sentry Box
$95.00

Perque Life Guard, 180 Tabs
Perque Life Guard, 180 Tabs
$69.19

British Army Life Guards Helmet Badge
British Army Life Guards Helmet Badge
$199.00

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

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

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

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...
$19.56

25mm British Napoleonic Life Guards - 36 Mounted Figures
25mm British Napoleonic Life Guards - 36 Mounted Figures
$360.00

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

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

Life Guards Blues Royals Household Cavalry PC British Regiment History
Life Guards Blues Royals Household Cavalry PC British Regiment History
$9.00

Australian Lifeguard Foster’s Beer and Sun Country Cooler mini Pin Up Posters
Australian Lifeguard Foster’s Beer and Sun Country Cooler mini Pin Up Posters
$9.99

Britains Metal Mounted Lifeguard & Drum Horse Toy Soldier
Britains Metal Mounted Lifeguard & Drum Horse Toy Soldier
$24.99

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

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

Ducal Military Models Ceremonial Kettle Drummer The Royal Life Guard Sweden
Ducal Military Models Ceremonial Kettle Drummer The Royal Life Guard Sweden
$59.95

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

LIFE GUARD WITH FLAG  1988 PAINTED W BRITAIN CEREMONIAL PAINTED LEAD FIGURE
LIFE GUARD WITH FLAG 1988 PAINTED W BRITAIN CEREMONIAL PAINTED LEAD FIGURE
$15.00

California Fire Patch - Oceanside Lifeguard
California Fire Patch - Oceanside Lifeguard
$3.99

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

Atlantic City NJ * Life Guards Hospital Tent 1910 * Unusual
Atlantic City NJ * Life Guards Hospital Tent 1910 * Unusual
$13.64

BRITAINS 00157 BAND OF THE LIFE GUARDS SET MINT BOXED ne
BRITAINS 00157 BAND OF THE LIFE GUARDS SET MINT BOXED ne
$33.15

Lifeguard California Straw Beach Hat Palm Fiber DPC Sun Wide Brim One Size Mens
Lifeguard California Straw Beach Hat Palm Fiber DPC Sun Wide Brim One Size Mens
$25.99

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

California Fire Patch - Oceanside Lifeguard #2
California Fire Patch - Oceanside Lifeguard #2
$3.99

California Fire Patch - Camp Pendleton Lifeguard
California Fire Patch - Camp Pendleton Lifeguard
$3.99

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

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

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

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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