Life Guards

JOHILCO 4 Mounted Life Guards Cornonation Procession Series 30mm Scale  1952
JOHILCO 4 Mounted Life Guards Cornonation Procession Series 30mm Scale 1952
$9.99

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

Life Guard Mounted
Life Guard Mounted
$10.00

Life Guard Standard Bearer Mounted
Life Guard Standard Bearer Mounted
$10.00

Lineol Elastolin Napoleonic British Life Guard Toy Soldiers horse preWar Germany
Lineol Elastolin Napoleonic British Life Guard Toy Soldiers horse preWar Germany
$129.99

LIFE GUARDS POST 1928 GENUINE CAP BADGE
LIFE GUARDS POST 1928 GENUINE CAP BADGE
$6.75

Britains Boxed Set, #2029, Life Guards Mounted and Foot. Old Hollowcast
Britains Boxed Set, #2029, Life Guards Mounted and Foot. Old Hollowcast
$70.88

1ST LIFE GUARDS PRE 1922 GENUINE CAP BADGE
1ST LIFE GUARDS PRE 1922 GENUINE CAP BADGE
$27.04

From Britains set 2029, Two Mounted Life Guards at the halt,  Hollowcast
From Britains set 2029, Two Mounted Life Guards at the halt, Hollowcast
$19.88

Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 NCO Life Guards 2,36
Eaglemoss metal toy soldiers Napoleonic Wars Lot of 4 NCO Life Guards 2,36" E3
$22.90

W. Britain 41076 Life Guard Standard Bearer Mounted Toy Soldier
W. Britain 41076 Life Guard Standard Bearer Mounted Toy Soldier
$10.00

1ST & 2ND LIFE GUARDS 1922 - 1928 GENUINE CAP BADGE
1ST & 2ND LIFE GUARDS 1922 - 1928 GENUINE CAP BADGE
$20.27

Britains Toy Lead Soldier set of 6  # 101, Mounted Band of the Life Guards
Britains Toy Lead Soldier set of 6 # 101, Mounted Band of the Life Guards
$60.00

Photo Post Card of Life Guards Tower and Turnaround, Seaside, Oregon
Photo Post Card of Life Guards Tower and Turnaround, Seaside, Oregon
$1.99

ORIGINAL WW1 AT THE FORGE 2nd LIFE GUARDS PRINTED POSTCARD
ORIGINAL WW1 AT THE FORGE 2nd LIFE GUARDS PRINTED POSTCARD
$1.34

Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
$50.00

W. BRITIAN Set 5195 Life Guards Mounted Band #1 Limited Edition
W. BRITIAN Set 5195 Life Guards Mounted Band #1 Limited Edition
$69.99

Hong Kong Copies of Britains Grendier guards &  Lifeguards 4 figures
Hong Kong Copies of Britains Grendier guards & Lifeguards 4 figures
$9.99

Seaside Heights  NJ    Life Guards on Duty
Seaside Heights NJ Life Guards on Duty
$3.99

Mounted Sentry ~ The Life Guards @ Horse Guards ~ London ET.2585 Unposted PC
Mounted Sentry ~ The Life Guards @ Horse Guards ~ London ET.2585 Unposted PC
$1.77

Military Magic Lantern Slide-Trooper, 2nd. Life Guards
Military Magic Lantern Slide-Trooper, 2nd. Life Guards
$8.79

Napoleonic Wars Grenadier Life Guards Izmailovo Regiment in dress uniform  #10
Napoleonic Wars Grenadier Life Guards Izmailovo Regiment in dress uniform #10
$19.90

Eaglemoss metal toy soldiers Napoleonic War Lot of 4 Grenadier Life Guards E24
Eaglemoss metal toy soldiers Napoleonic War Lot of 4 Grenadier Life Guards E24
$22.90

Asbury Park NJ - LIFE GUARD ON THE BEACH - Postcard
Asbury Park NJ - LIFE GUARD ON THE BEACH - Postcard
$9.99

Bands Life Guards, Royal Horse Guards , Royal Highland Fusiliers: Queens Gauards
Bands Life Guards, Royal Horse Guards , Royal Highland Fusiliers: Queens Gauards
$9.45

Non-commissioned officer in the life guards Preobrazhensky regiment,1802-05 #118
Non-commissioned officer in the life guards Preobrazhensky regiment,1802-05 #118
$13.90

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

BRITAINS SET #2029 - The Life Guards Mounted and Foot Sentries
BRITAINS SET #2029 - The Life Guards Mounted and Foot Sentries
$79.99

Napoleonic Wars sergeant gunner Life Guards Artillery Brigade in full uniform
Napoleonic Wars sergeant gunner Life Guards Artillery Brigade in full uniform
$24.90

BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
$4.99

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

FGCU ( Life Guard ) Shirt
FGCU ( Life Guard ) Shirt
$12.60

LIFE GUARDS SENTRY UNIFORM, LONDON
LIFE GUARDS SENTRY UNIFORM, LONDON
$5.00

Crescent 60mm Life Guard Two Different Grendiers
Crescent 60mm Life Guard Two Different Grendiers
$4.99

W. Britain 50007C - British Life Guard 1 Piece, 54mm Classic Metal Figure
W. Britain 50007C - British Life Guard 1 Piece, 54mm Classic Metal Figure
$5.77

# 560 Tin 54mm Soldier Junior Officer of the Life Guards Semenov regiment
# 560 Tin 54mm Soldier Junior Officer of the Life Guards Semenov regiment
$7.99

BRITISH ARMY CAP BADGE. THE LIFE GUARDS.
BRITISH ARMY CAP BADGE. THE LIFE GUARDS.
$9.45

Clydecast 75mm - British Trooper, Life Guards c.1980
Clydecast 75mm - British Trooper, Life Guards c.1980
$14.95

The Life Guards  Cap Badge
The Life Guards Cap Badge
$16.22

Old BRITAINS Lead Mounted Band of the Life Guards, 12 Pc Boxed Set #101, c.1950s
Old BRITAINS Lead Mounted Band of the Life Guards, 12 Pc Boxed Set #101, c.1950s
$199.99

15mm Mini Figs Danish Napoleonic Mounted Life Guards
15mm Mini Figs Danish Napoleonic Mounted Life Guards
$9.95

W Britains Scots Life Guard Trumpeter Mounted Metal 41077 White Horse
W Britains Scots Life Guard Trumpeter Mounted Metal 41077 White Horse
$17.99

DID The Life Guards (British Army) 12
DID The Life Guards (British Army) 12" action figure DID-K80108
$149.99

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
$4.95

WW1 British army collection of badges LIFE GUARDS HORSE GUARDS
WW1 British army collection of badges LIFE GUARDS HORSE GUARDS
$30.00

Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
Old BRITAINS England 1973 Metal Models, Life Guards Dismounted, 6 Piece Set
$22.99

Vintage 1971 Hasbro GI Joe Action Man Life Guard Breeches
Vintage 1971 Hasbro GI Joe Action Man Life Guard Breeches
$14.99

Britains Mounted Life Guard Winter Dress    Set 400
Britains Mounted Life Guard Winter Dress Set 400
$16.93


"Life Guards in the Mall" Real Photograph Tuck's Postcard 1953
$1.95

Tin Soldiers * Colonel of the Life Guards Dragoon Regiment. Russia * 54-60 mm *
Tin Soldiers * Colonel of the Life Guards Dragoon Regiment. Russia * 54-60 mm *
$8.00

The Life Guards - Army Metal Figure - Made in England - Pewter Soldier
The Life Guards - Army Metal Figure - Made in England - Pewter Soldier
$19.99

Life Guards Horse Guards Whitehall London Vintage Postcard PC#978
Life Guards Horse Guards Whitehall London Vintage Postcard PC#978
$1.54

Band Life Guards: Horse of the Year.  DJM 22005
Band Life Guards: Horse of the Year. DJM 22005
$8.10

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

BRITISH ARMY OFFICERS MILITARY SILVERED CAP BADGE THE LIFE GUARDS EDWARD VIII
BRITISH ARMY OFFICERS MILITARY SILVERED CAP BADGE THE LIFE GUARDS EDWARD VIII
$8.10

Tin Soldiers * Cavalry officer of the Life Guards. Sweden, 1807 * 54-60 mm *
Tin Soldiers * Cavalry officer of the Life Guards. Sweden, 1807 * 54-60 mm *
$8.00

BRITAINS METAL 1973 TOY SOLDIER 3 Royal Life Guards  made in England
BRITAINS METAL 1973 TOY SOLDIER 3 Royal Life Guards made in England
$7.00

William Britains Life Guards
William Britains Life Guards
$27.00

1989 Britains Sword Life Guards Soldier Set Original Display Case Rider
1989 Britains Sword Life Guards Soldier Set Original Display Case Rider
$4.33

 THE LIFE GUARDS CAP BADGE  REF HH 19 B
THE LIFE GUARDS CAP BADGE REF HH 19 B
$3.99

ORIGINAL WW1 CYCLE CORPS 2nd LIFE GUARDS PRINTED POSTCARD
ORIGINAL WW1 CYCLE CORPS 2nd LIFE GUARDS PRINTED POSTCARD
$3.65

Private Life Guards Lancer Regiment 54mm #50
Private Life Guards Lancer Regiment 54mm #50
$9.35

Napoleonic Wars Private Life-Guards Horse-Jäger Regiment of 1813-1814. #40
Napoleonic Wars Private Life-Guards Horse-Jäger Regiment of 1813-1814. #40
$19.90

UK London Life Guards
UK London Life Guards
$4.00

Our Army Fusilier of the Life Guards Regiment 1700-1708 #1 na
Our Army Fusilier of the Life Guards Regiment 1700-1708 #1 na
$19.90

Band of HM Life Guards: Famous Marches & Waltzes. '71 Contour
Band of HM Life Guards: Famous Marches & Waltzes. '71 Contour
$8.10

SECOND LIFE GUARDS - BRASS CAP BADGE - 2nd - GENUINE & ORIGINAL - KGV
SECOND LIFE GUARDS - BRASS CAP BADGE - 2nd - GENUINE & ORIGINAL - KGV
$24.33

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

1901-07 The Life Guards at Atlantic City, NJ New Jersey PC
1901-07 The Life Guards at Atlantic City, NJ New Jersey PC
$5.95

UK London Sentry uniform Life Guards
UK London Sentry uniform Life Guards
$4.00

Britains soldiers, Life Guard on horses and foot, restore, parts, metal, lot
Britains soldiers, Life Guard on horses and foot, restore, parts, metal, lot
$15.00

UK London Life Guards in Hyde Park Horsemen Uniforms
UK London Life Guards in Hyde Park Horsemen Uniforms
$4.00

BRITISH ARMY OFFICERS MILITARY BRONZE CAP BADGE LIFE GUARDS 1st
BRITISH ARMY OFFICERS MILITARY BRONZE CAP BADGE LIFE GUARDS 1st
$5.40

British Army:  Life Guards Shoulder flash - WWII era
British Army: Life Guards Shoulder flash - WWII era
$7.70

Band H.M. Life Guards: Famous Marches & Waltzes. Contour 6870 602
Band H.M. Life Guards: Famous Marches & Waltzes. Contour 6870 602
$8.10

Band Of The Life Guards: England Made Me. DJM DJLPS 436
Band Of The Life Guards: England Made Me. DJM DJLPS 436
$8.10

10
10" SCALA -RECORD.1ST LIFE GUARDS.STARS AND STRIPES.NO447 LIBERTY BELL.RARE.
$10.81

5 vintage Britains 54mm 1/35 scale painted metal mounted Life Guard toy soldiers
5 vintage Britains 54mm 1/35 scale painted metal mounted Life Guard toy soldiers
$49.99

Band Life Guards: Soldiers of The Queen    DJM DJSLM 2030
Band Life Guards: Soldiers of The Queen DJM DJSLM 2030
$8.10

Old BRITAINS England 1980s Metal, Mounted Life Guards, 3 Piece Boxed Set #7205
Old BRITAINS England 1980s Metal, Mounted Life Guards, 3 Piece Boxed Set #7205
$23.99

WWI BRITISH FIRST LIFE GUARDS cap badge GEORGE V
WWI BRITISH FIRST LIFE GUARDS cap badge GEORGE V
$7.70

PRINCESS DIANA & SHIRTLESS BEEFCAKE LIFE GUARDS SWIMMERS in speedos (83)
PRINCESS DIANA & SHIRTLESS BEEFCAKE LIFE GUARDS SWIMMERS in speedos (83)
$12.99

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

Second Life Guards  Cap Badge
Second Life Guards Cap Badge
$16.22

Limited Edition Britain Soldier Set
Limited Edition Britain Soldier Set "The Life Guards Mounted Band"
$149.00

Military Magic Lantern Slide-State Trumpeter, 2nd Life Guards
Military Magic Lantern Slide-State Trumpeter, 2nd Life Guards
$8.79

TOY SOLDIERS BRITAINS SWOPPETS EYES RIGHT SOVEREIGN ESCORT LIFE GUARD CAVALRY
TOY SOLDIERS BRITAINS SWOPPETS EYES RIGHT SOVEREIGN ESCORT LIFE GUARD CAVALRY
$24.99

Antique BRITAINS Lead, Second Grade Life Guards, Different Heads, Fm Early 1900s
Antique BRITAINS Lead, Second Grade Life Guards, Different Heads, Fm Early 1900s
$12.99

Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
$24.99

VINTAGE OLD POSTCARD UNUSED LIFE GUARDS SENTRY WHITEHALL LONDON
VINTAGE OLD POSTCARD UNUSED LIFE GUARDS SENTRY WHITEHALL LONDON
$4.99

First Life Guards Cap Badge (inv. 7037)
First Life Guards Cap Badge (inv. 7037)
$19.95

1891 PRINTS & ARTICLE LONDON HORSE LIFE GUARDS KNACKERS YARD DAILY CHRONICLE 530
1891 PRINTS & ARTICLE LONDON HORSE LIFE GUARDS KNACKERS YARD DAILY CHRONICLE 530
$5.95

LIFE GUARDS BALL SIGN CHELSEA MOTEL BOARDWALK OLD/VINTAGE PHOTO-SNAPSHOT R1400
LIFE GUARDS BALL SIGN CHELSEA MOTEL BOARDWALK OLD/VINTAGE PHOTO-SNAPSHOT R1400
$6.95

1970's - 3 metal BRITAINS LTD Guardsman Grenadier, Life guard & beefeater NIB
1970's - 3 metal BRITAINS LTD Guardsman Grenadier, Life guard & beefeater NIB
$12.69

Rare Queensberry Staffordshire England
Rare Queensberry Staffordshire England "Captain of the Life Guards" Coaster Dish
$9.99

THE LIFE GUARDS CARDIFF TATTOO COMMEMORATIVE COVER 1973 BFPO 1417
THE LIFE GUARDS CARDIFF TATTOO COMMEMORATIVE COVER 1973 BFPO 1417
$3.38

UK London Dismounted Sentry uniform Life Guards
UK London Dismounted Sentry uniform Life Guards
$4.00

Private Life Guards Horse-Jaeger Regiment 54mm #40
Private Life Guards Horse-Jaeger Regiment 54mm #40
$9.35

BRITISH ARMY OFFICERS MILITARY SILVERED CAP BADGE LIFE GUARDS 1st
BRITISH ARMY OFFICERS MILITARY SILVERED CAP BADGE LIFE GUARDS 1st
$8.10

Britains - Two Hand Painted Yeoman of the Guard, Two Hand Painted Lifeguard
Britains - Two Hand Painted Yeoman of the Guard, Two Hand Painted Lifeguard
$25.99

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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