Life Guards

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

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

Large Lot of 40  Britains Band Marines Life Guard Mounted Figures
Large Lot of 40 Britains Band Marines Life Guard Mounted Figures
$125.00

Britains Set 9305 Life Guards And 4th Hussars 1960-66 Issue
Britains Set 9305 Life Guards And 4th Hussars 1960-66 Issue
$174.95

Britains Set 9307 Life Guards Standard & Escort Circa 1962
Britains Set 9307 Life Guards Standard & Escort Circa 1962
$174.95

SAE vintage 30 mm lead toy soldier figures British Life Guards 1954 set 69
SAE vintage 30 mm lead toy soldier figures British Life Guards 1954 set 69
$9.99

Britain's The Life Guards, Farrier with Axe Mounted (1pc)  Set 2081
Britain's The Life Guards, Farrier with Axe Mounted (1pc) Set 2081
$9.95

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

Britains Metal Models Horse and Life Guards
Britains Metal Models Horse and Life Guards
$7.99

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

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

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

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

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

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

Britains 41066 Life Guards FOOT (8PC)
Britains 41066 Life Guards FOOT (8PC)
$40.00

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
$175.00

BRITAINS 41066 LIFE GUARDS FOOT (9PC)
BRITAINS 41066 LIFE GUARDS FOOT (9PC)
$45.00

Britains Toy Soldiers Cenetary Series Mounted Band of The Lifeguards w/ Box-SCE
Britains Toy Soldiers Cenetary Series Mounted Band of The Lifeguards w/ Box-SCE
$149.95

Britians limited edition sets, set 1 & set 2 Life Guard Mounted Band
Britians limited edition sets, set 1 & set 2 Life Guard Mounted Band
$139.00

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

[64071] VINTAGE W. BRITAIN from SET No. 2029 THE LIFE GUARDS, 4 FOOT SENTRIES
[64071] VINTAGE W. BRITAIN from SET No. 2029 THE LIFE GUARDS, 4 FOOT SENTRIES
$48.00

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

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

Wm Britain (1:32) Life Guard #41066 - Special Sale!
Wm Britain (1:32) Life Guard #41066 - Special Sale!
$1.99

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

1983 Britains 54mm mounted Life Guard #7230 painted metal toy soldier in box
1983 Britains 54mm mounted Life Guard #7230 painted metal toy soldier in box
$6.99

Vintage BRITAINS 5 Lead HORSE Figures LIFE GUARDS No. 1 box tie card
Vintage BRITAINS 5 Lead HORSE Figures LIFE GUARDS No. 1 box tie card
$69.00

Trophy of Wales Egyptian War Set No. EW10A Mounted Trooper of the Life Guards
Trophy of Wales Egyptian War Set No. EW10A Mounted Trooper of the Life Guards
$149.99

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 Toy Soldier 1st Life Guard Mounted Calvary
Britains Toy Soldier 1st Life Guard Mounted Calvary
$247.50

1:6 DID THE LIFE GUARDS PRINCE HARRY BRITISH DRAGON DAM SOLDIER STORY K80108
1:6 DID THE LIFE GUARDS PRINCE HARRY BRITISH DRAGON DAM SOLDIER STORY K80108
$159.00

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

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

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

Vintage GI JOE  ACTION MAN CEREMONIAL PANTS Life Guards Blues & Royals
Vintage GI JOE ACTION MAN CEREMONIAL PANTS Life Guards Blues & Royals
$9.99

Crescent Toy Soldier 2202 Grenadier Life Guards And Guards Display Post War
Crescent Toy Soldier 2202 Grenadier Life Guards And Guards Display Post War
$135.00

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

BRITAINS, LIFE GUARD, CAST METAL, Blue
BRITAINS, LIFE GUARD, CAST METAL, Blue
$6.65

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

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

Britains Life Guard Toy Soldier
Britains Life Guard Toy Soldier
$10.00

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

ALL ORIGINAL BRITAINS 4 FIRST LIFE GUARDS ON HORSE ANTIQUE TOY SOLDIERS (ShS119)
ALL ORIGINAL BRITAINS 4 FIRST LIFE GUARDS ON HORSE ANTIQUE TOY SOLDIERS (ShS119)
$9.99

1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey  2 Pics
1949 Life Guards Annual Ball Program, Moorlyn & Boardwalk, South Jersey 2 Pics
$4.75

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

Salisbury Beach MA Life Saving Life Guards Practicing c1910 Postcard
Salisbury Beach MA Life Saving Life Guards Practicing c1910 Postcard
$11.09

BRITAINS  11PCS   5947 BLUES AND ROYALS AND LIFE GUARDS 8012
BRITAINS 11PCS 5947 BLUES AND ROYALS AND LIFE GUARDS 8012
$120.00

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

ALL ORIGINAL BRITAINS 5 LIFE GUARDS ON HORSE ANTIQUE TOY SOLDIERS (ShS118)
ALL ORIGINAL BRITAINS 5 LIFE GUARDS ON HORSE ANTIQUE TOY SOLDIERS (ShS118)
$9.99

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

Bathing Comics-We always get our man, lady life guards rescue drowning man C-620
Bathing Comics-We always get our man, lady life guards rescue drowning man C-620
$7.95

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

Napoleonic Wars Cavalry Officer 1st British Life Guards metal figure soldiers N5
Napoleonic Wars Cavalry Officer 1st British Life Guards metal figure soldiers N5
$18.90

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

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

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$29.99

1966 Nurse & Life Guards Cape May Beach Patrol and First Aid Station Cape May NJ
1966 Nurse & Life Guards Cape May Beach Patrol and First Aid Station Cape May NJ
$4.32

BRITAIN'S UNCATALOGED # 500 LIFE GUARDS, WINTER DRESS,  FROM ED RUBY COLLECT,
BRITAIN'S UNCATALOGED # 500 LIFE GUARDS, WINTER DRESS, FROM ED RUBY COLLECT,
$600.00

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

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

NIB METAL MODELS #7226
NIB METAL MODELS #7226 "2 SCOTS GUARDS, 2 LIFEGUARDS, 2 YEOMAN of the GUARD"
$22.50

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

Venice CA The Life Guards California M. Kashower Co White Border Postcard
Venice CA The Life Guards California M. Kashower Co White Border Postcard
$14.95

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

2 Vintage Britain England Scots Life Guard Horse Metal Toy Soldiers - Excellent
2 Vintage Britain England Scots Life Guard Horse Metal Toy Soldiers - Excellent
$17.00

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

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

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

Life Guards Beach Atlantic City 1939 Linen Postcard Traymore Hotel Background
Life Guards Beach Atlantic City 1939 Linen Postcard Traymore Hotel Background
$6.99

Corporal Majors, 1st Life Guards, London, England, c1930, Good Condition, Unused
Corporal Majors, 1st Life Guards, London, England, c1930, Good Condition, Unused
$4.95

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

VINTAGE-1971-PALITOY-12
VINTAGE-1971-PALITOY-12"-ACTION MAN-"BLUES & ROYALS" OR "LIFE GUARDS"-BOOTS-1976
$10.99

Adoretex Women Official Life Guards Shorts Red Size L Drawstring
Adoretex Women Official Life Guards Shorts Red Size L Drawstring
$19.99

Cape May Beach Patrol Life Guards Posing, First Aid Station, Cape May New Jersey
Cape May Beach Patrol Life Guards Posing, First Aid Station, Cape May New Jersey
$9.95

BRITIANS, DEETAIL, METAL, LIFE GUARD, RED, CCT1511
BRITIANS, DEETAIL, METAL, LIFE GUARD, RED, CCT1511
$12.99

SAE vintage 30 mm lead toy soldier figures British Lifeguards marching set 59 3p
SAE vintage 30 mm lead toy soldier figures British Lifeguards marching set 59 3p
$9.99

Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
$105.00

Toy Soldier Great Britain 1970 Life Guard 4
Toy Soldier Great Britain 1970 Life Guard 4" Lead figure 1978 IN BOX
$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 7226 TOY SOLDIERS 2 LIFEGUARDS 2 YEOMAN OF THE GUARD 2 SCOTS GUARDS
BRITAINS 7226 TOY SOLDIERS 2 LIFEGUARDS 2 YEOMAN OF THE GUARD 2 SCOTS GUARDS
$32.95

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

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

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
$6.74

ATLANTIC CITY, New Jersey NJ    LIFE GUARDS  Marching on Boardwalk 1922 Postcard
ATLANTIC CITY, New Jersey NJ LIFE GUARDS Marching on Boardwalk 1922 Postcard
$7.97

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

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

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

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

TOY SOLDIERS GENERAL LIFE GUARDS ALL THE QUEENS MEN by DEREK CROSS BRITAINS SIZE
TOY SOLDIERS GENERAL LIFE GUARDS ALL THE QUEENS MEN by DEREK CROSS BRITAINS SIZE
$99.99

(3) Britans Queen Elizabeth II on mounted horse
(3) Britans Queen Elizabeth II on mounted horse "Burmese" + horse and life guard
$24.00

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

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

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
$6.76

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

Cherilea Toy Soldiers S202 Life Guards Post War 7 Figures British
Cherilea Toy Soldiers S202 Life Guards Post War 7 Figures British
$75.00

Miltary Mugs Life Guard Regiment Hussars, 3rd Cavalry SWEDEN  Set of 2
Miltary Mugs Life Guard Regiment Hussars, 3rd Cavalry SWEDEN Set of 2
$12.99

Imperial Russian military Life-Guards Ataman Regiment badge
Imperial Russian military Life-Guards Ataman Regiment badge
$1,995.00

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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