Life Guards

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

Britains Life Guards Band 5 piece #00157
Britains Life Guards Band 5 piece #00157
$34.99

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

Britain 5 Mounted Life Guards Soldiers Horses Cavalry Winter Cloak  England Lead
Britain 5 Mounted Life Guards Soldiers Horses Cavalry Winter Cloak England Lead
$56.69

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

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

Vintage Britains Set No. 2067 Sovereign's Standard of Life Guards and Escort (7)
Vintage Britains Set No. 2067 Sovereign's Standard of Life Guards and Escort (7)
$84.99

Britains Swedish Life Guards 54 mm Toy Soldiers
Britains Swedish Life Guards 54 mm Toy Soldiers
$35.95

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

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

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

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

W. BRITAIN SET No. 2029  LIFE GUARDS (MOUNTED and FOOT SENTRIES) w/BOX
W. BRITAIN SET No. 2029 LIFE GUARDS (MOUNTED and FOOT SENTRIES) w/BOX
$13.00

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

Britain 2 7247 Trumpeter Life Guards Lifeguards England Lead Horse Soldier
Britain 2 7247 Trumpeter Life Guards Lifeguards England Lead Horse Soldier
$22.49

BRITAIN SOLDIERS LIFE GUARDS MOUNTED AT THE WALK WITH OFFICER  5  PCS.  SET # 1
BRITAIN SOLDIERS LIFE GUARDS MOUNTED AT THE WALK WITH OFFICER 5 PCS. SET # 1
$80.00

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

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

Britains Mounted Life Guard Double Date 1903 and 1905
Britains Mounted Life Guard Double Date 1903 and 1905
$14.95

Vintage metal Toy Solders 1982 British regiments 7227 Lifeguards Horse guards
Vintage metal Toy Solders 1982 British regiments 7227 Lifeguards Horse guards
$24.99

*rare* unusual Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
*rare* unusual Britains Boxed Set #9206 Mounted Life Guards (originally#1,MIB)
$115.00

Lead Toy Soldiers Britains Royal Life Guards, Lot of 3 1 DEPOSE
Lead Toy Soldiers Britains Royal Life Guards, Lot of 3 1 DEPOSE
$23.99

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

Frontline Figures: 1FG.7 British 1st Life Guards Standard Bearer with Flag
Frontline Figures: 1FG.7 British 1st Life Guards Standard Bearer with Flag
$68.00

Britains From Set # 400 ( 5 Pc.) Life Guards Winter Dress
Britains From Set # 400 ( 5 Pc.) Life Guards Winter Dress
$90.00

traditions Danish Army Life Guard toy soldiers set 2019
traditions Danish Army Life Guard toy soldiers set 2019
$29.95

Old BRITAINS Lead, Life Guards In State Dress, From Set #2067, c.1950s England
Old BRITAINS Lead, Life Guards In State Dress, From Set #2067, c.1950s England
$24.99

1983 Britains 54mm 3 mounted Life Guards 7228 painted metal toy soldiers in box
1983 Britains 54mm 3 mounted Life Guards 7228 painted metal toy soldiers in box
$14.99

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

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

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

Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
Vintage Britains Horse Rider Life Guards Mounted 1984 Calvary Police Model
$18.99

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

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

5 BRITAINS HOLLOW CAST LEAD TOY SOLDIERS DIS MOUNTED LIFE GUARD SENTRIIES?
5 BRITAINS HOLLOW CAST LEAD TOY SOLDIERS DIS MOUNTED LIFE GUARD SENTRIIES?
$9.50

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

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

Britains Soldiers 8829 Second Life Guards Special Collectors Edition MIB
Britains Soldiers 8829 Second Life Guards Special Collectors Edition MIB
$79.00

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

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

OF32LG001 - Life Guard - Oxford Diecast
OF32LG001 - Life Guard - Oxford Diecast
$14.95

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

Britains Swoppets  or Eyes Right Mounted Life Guards # 803 Lot of 6
Britains Swoppets or Eyes Right Mounted Life Guards # 803 Lot of 6
$22.99

Antique BRITAINS Lead, Second Grade Life Guards, 2 Variations, From Early 1900s
Antique BRITAINS Lead, Second Grade Life Guards, 2 Variations, From Early 1900s
$9.99

British Household Cavalry Tunic Life Guards
British Household Cavalry Tunic Life Guards
$199.00

Britains Toy Soldiers Set 8824 Mounted Lifeguard 1837
Britains Toy Soldiers Set 8824 Mounted Lifeguard 1837
$15.99

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
$9.99

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

Britains Toy Soldiers 1st Life  Guard Mounted Color Flage  Bugle
Britains Toy Soldiers 1st Life Guard Mounted Color Flage Bugle
$74.25

Wm Britain (1:32) Life Guard #41066 - Special Sale!
Wm Britain (1:32) Life Guard #41066 - Special Sale!
$7.95

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

Marlborough Military Models Life Guard with Horn
Marlborough Military Models Life Guard with Horn
$7.50

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

Tin Soldiers * Unter officer Life Guards Regiment. Russia  * 54-60 mm *
Tin Soldiers * Unter officer Life Guards Regiment. Russia * 54-60 mm *
$8.00

BRITAINS COLLECTION FOR HARRODS 5878 LIFE GUARD & SCOTS GUARD METAL TOY SOLDIERS
BRITAINS COLLECTION FOR HARRODS 5878 LIFE GUARD & SCOTS GUARD METAL TOY SOLDIERS
$19.95

William Britains Lifeguard Regiment Guard Sentry Box England 1989 #264136
William Britains Lifeguard Regiment Guard Sentry Box England 1989 #264136
$9.99

Breyer Life Guards of the Queens Household Cavalary #3368
Breyer Life Guards of the Queens Household Cavalary #3368
$50.00

Britains Set #400 Life Guards in Winter Cloaks
Britains Set #400 Life Guards in Winter Cloaks
$155.00

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*
$129.99

Life Guards to the Rescue Atlantic City  NJ                          6800
Life Guards to the Rescue Atlantic City NJ 6800
$3.50

Del Prado NC017 Officer British Life Guards Waterloo 1815 - RETIRED - MINT
Del Prado NC017 Officer British Life Guards Waterloo 1815 - RETIRED - MINT
$14.95

H.M. Queen Elizabeth with Her Life Guards - 1:32 Britains' painted metal
H.M. Queen Elizabeth with Her Life Guards - 1:32 Britains' painted metal
$60.00

BRITAINS, LIFE GUARD, CAST METAL
BRITAINS, LIFE GUARD, CAST METAL
$10.00

5 BRITAIN FIGURES - 1 BEEFEATER, 1 LIFE GUARD, 1 BAG PIPER, 2 GRENADIER SOLDIERS
5 BRITAIN FIGURES - 1 BEEFEATER, 1 LIFE GUARD, 1 BAG PIPER, 2 GRENADIER SOLDIERS
$14.99

[63223] W. BRITAIN SET No. 2029 THE LIFE GUARDS (MOUNTED and FOOT SENTRIES)
[63223] W. BRITAIN SET No. 2029 THE LIFE GUARDS (MOUNTED and FOOT SENTRIES)
$64.99

Playboy August 1993 - Jennifer Lavoie, Like Mother-Like Daughter, Life Guards
Playboy August 1993 - Jennifer Lavoie, Like Mother-Like Daughter, Life Guards
$14.95

Britain 7245 7246 Standard Bearers Lifeguards England Lead Horse Guards Soldier
Britain 7245 7246 Standard Bearers Lifeguards England Lead Horse Guards Soldier
$22.49

Reeves NBC 5 1st LIFE GUARD Household Cavalry Officer 1812-1815 1/32 (54mm)
Reeves NBC 5 1st LIFE GUARD Household Cavalry Officer 1812-1815 1/32 (54mm)
$16.99

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

Old CRESCENT TOYS Lead, British Life Guards, 5 Pcs, c.1950s Britains England
Old CRESCENT TOYS Lead, British Life Guards, 5 Pcs, c.1950s Britains England
$14.99

Britain 7205 3 Mounted Life Guards Lifeguards England Lead Horse Guards Soldier
Britain 7205 3 Mounted Life Guards Lifeguards England Lead Horse Guards Soldier
$35.99

1956 Press Photo Men of the Life Guards at Combermere Barracks, Windsor,
1956 Press Photo Men of the Life Guards at Combermere Barracks, Windsor,
$19.99

Britains Set No. 00074 Mounted Band of the Lifeguards Set 2 in Original Box
Britains Set No. 00074 Mounted Band of the Lifeguards Set 2 in Original Box
$68.99

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$24.99

LIFE GUARDS IN THE HAMPTONS - CELIA JEROME (PAPERBACK) NEW
LIFE GUARDS IN THE HAMPTONS - CELIA JEROME (PAPERBACK) NEW
$10.94

Timpo Recast British Life Guards w Cloned Italeri Horses 54mm unpainted plastic
Timpo Recast British Life Guards w Cloned Italeri Horses 54mm unpainted plastic
$12.50

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

Lot of British Militry Badge Badges Military Ordnance Life Guards
Lot of British Militry Badge Badges Military Ordnance Life Guards
$9.99

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

Britains - Two Hand Painted Yeoman of the Guard, Two Hand Painted Lifeguard
Britains - Two Hand Painted Yeoman of the Guard, Two Hand Painted Lifeguard
$15.00

5 Vintage Britain Lead Soldiers W/Box The Life Guards #400 Winter Cloaks Mounted
5 Vintage Britain Lead Soldiers W/Box The Life Guards #400 Winter Cloaks Mounted
$69.99

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...
$19.57

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

Britains 7230 Hand Painted Metal-Models - Mounted Lifeguard Drawn Sword - In Box
Britains 7230 Hand Painted Metal-Models - Mounted Lifeguard Drawn Sword - In Box
$18.00

NIB METAL MODELS #7226
NIB METAL MODELS #7226 "2 SCOTS GUARDS, 2 LIFEGUARDS, 2 YEOMAN of the GUARD"
$29.95

BRITIANS HERALDS QUEENS GUARDS  AND LIFE GUARDS
BRITIANS HERALDS QUEENS GUARDS AND LIFE GUARDS
$9.92

Hampton - B230 - Household Cavalry (Life Guards) - 4 pieces - Ceremonial
Hampton - B230 - Household Cavalry (Life Guards) - 4 pieces - Ceremonial
$99.00

THE LIFE GUARDS: Dress and Appointments 1660-1914 By Charles Stadden - 1971
THE LIFE GUARDS: Dress and Appointments 1660-1914 By Charles Stadden - 1971
$8.00

Britains No. 5184 Lifeguards 6x Piece Set Mounted Horse Back Calvary Boxed
Britains No. 5184 Lifeguards 6x Piece Set Mounted Horse Back Calvary Boxed
$47.00

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

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

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

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

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

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

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

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

TUCK Soldier on Horse 2nd Life Guards Trooper Drill Order w/ Sword Postcard
TUCK Soldier on Horse 2nd Life Guards Trooper Drill Order w/ Sword Postcard
$8.29

Vintage Old FLORIDA Postcard Ormond Beach Ellinor Village Sailboat Life Guards
Vintage Old FLORIDA Postcard Ormond Beach Ellinor Village Sailboat Life Guards
$3.99

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

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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