Life Guards

britains Life Guards set
britains Life Guards set
$22.00

Armies in Plastic Egypt-Sudan (1882) British Life Guards 1/32 Scale 54mm
Armies in Plastic Egypt-Sudan (1882) British Life Guards 1/32 Scale 54mm
$12.80

Britain's 7247 Life Guards, Trumpeter
Britain's 7247 Life Guards, Trumpeter
$15.00

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

Cassandra 0050 The Life Guards Mounted 2001
Cassandra 0050 The Life Guards Mounted 2001
$15.00

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

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
$91.00

Life Guards Beach Atlantic City 1939 Linen Postcard Traymore Hotel Background
Life Guards Beach Atlantic City 1939 Linen Postcard Traymore Hotel Background
$7.99

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

The Life Guards Dress and Appointments, 1660-1914  Unifirms
The Life Guards Dress and Appointments, 1660-1914 Unifirms
$15.38

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

Drummer of the Life Guards Pavlovsky Regiment, 1884.. 54mm
Drummer of the Life Guards Pavlovsky Regiment, 1884.. 54mm
$59.00

Vtg Postcard: Life Guards, Whitehall London
Vtg Postcard: Life Guards, Whitehall London
$2.99

1st Life Guards Kings Guard Whitehall London England UK Postcard
1st Life Guards Kings Guard Whitehall London England UK Postcard
$5.89

1974 Postcard - Life Guards and Rescue Boat. Ocean City, New Jersey
1974 Postcard - Life Guards and Rescue Boat. Ocean City, New Jersey
$5.95

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 IN THE HAMPTONS - JEROME, CELIA - NEW PAPERBACK BOOK
LIFE GUARDS IN THE HAMPTONS - JEROME, CELIA - NEW PAPERBACK BOOK
$12.21

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

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

NEW JERSEY POSTCARD: LIFE GUARDS ON CROWED BEACH IN ASBURY PARK, NJ
NEW JERSEY POSTCARD: LIFE GUARDS ON CROWED BEACH IN ASBURY PARK, NJ
$2.99

Life Guards of the Queen's Calvary Breyer # 3368
Life Guards of the Queen's Calvary Breyer # 3368
$70.00

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

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

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

Atlantic City NJ * Life Guards Hospital Tent 1910 * Unusual
Atlantic City NJ * Life Guards Hospital Tent 1910 * Unusual
$19.49

EMPTY BOX  -
EMPTY BOX - "Life Guards of the Queen's Household Cavalry" #4587 LIMITED EDT
$10.00

Life Guards Only Stop Activity Pool LABEL DECAL STICKER
Life Guards Only Stop Activity Pool LABEL DECAL STICKER
$18.99

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

William Britains Set #1 Life Guards, vintage toy soldiers w/ Whisstock label
William Britains Set #1 Life Guards, vintage toy soldiers w/ Whisstock label
$165.00

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...
$19.99

ATLANTIC CITY NJ LIFE GUARDS HOSPITAL TENT~DROWNED ARE CARED FOR~ POSTCARD 1910s
ATLANTIC CITY NJ LIFE GUARDS HOSPITAL TENT~DROWNED ARE CARED FOR~ POSTCARD 1910s
$9.79

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

Vintage Life Guards Hyde Park card print & Queen Elizabeth stamps 1956 Birthday
Vintage Life Guards Hyde Park card print & Queen Elizabeth stamps 1956 Birthday
$7.00

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

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

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

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

Life Guards Only Stop Activity Sign Pool Signs Aluminum METAL Sign
Life Guards Only Stop Activity Sign Pool Signs Aluminum METAL Sign
$21.99

LITTLE WARS 320 SWEDISH SVEA LIFE GUARDS MARCHING at the SLOPE nj
LITTLE WARS 320 SWEDISH SVEA LIFE GUARDS MARCHING at the SLOPE nj
$87.69

1944 Honour Life Guards Dewar's
1944 Honour Life Guards Dewar's "White Label" Whisky AD
$7.96

The Band Of The Life Guards - The Music Of The (NEW CD)
The Band Of The Life Guards - The Music Of The (NEW CD)
$15.43

Our Army Fusilier of the Life Guards Regiment 1700-1708 #1 -na
Our Army Fusilier of the Life Guards Regiment 1700-1708 #1 -na
$14.99

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

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

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
$29.00

Antique Vintage Little Lead Soldiers Napoleonic Range 1st Life Guards
Antique Vintage Little Lead Soldiers Napoleonic Range 1st Life Guards
$225.00


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

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

The Life Guards - T Shirt
The Life Guards - T Shirt
$14.03

Vintage Royal The Life Guards  on Horse kitchen towel Irish Linen EUC
Vintage Royal The Life Guards on Horse kitchen towel Irish Linen EUC
$7.00

Life Guards Hoodie
Life Guards Hoodie
$36.44

Life Guards Performance Polo
Life Guards Performance Polo
$32.22

Life Guards Regiment Polo Shirt Embroidered Logo
Life Guards Regiment Polo Shirt Embroidered Logo
$28.01

1937 Press Photo British Life Guards During Coronation Rehearsal, London
1937 Press Photo British Life Guards During Coronation Rehearsal, London
$19.99

 Antique British Household Cavalry Life Guards Officer Gold Sash figure model
Antique British Household Cavalry Life Guards Officer Gold Sash figure model
$38.25

The Life Guards - embroidered logo t-shirt
The Life Guards - embroidered logo t-shirt
$18.25

The Life Guards Officers Vintage Dress Belt or Stash Crown Logo Leather
The Life Guards Officers Vintage Dress Belt or Stash Crown Logo Leather
$14.20

BAND OF LIFE GUARDS - Royal Salute - CD - **BRAND NEW/STILL SEALED**
BAND OF LIFE GUARDS - Royal Salute - CD - **BRAND NEW/STILL SEALED**
$17.49

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

Tin Soldiers * NCO Life Guards Jaeger Regiment. Russia 1914 * 54-60 mm *
Tin Soldiers * NCO Life Guards Jaeger Regiment. Russia 1914 * 54-60 mm *
$7.00

The Life Guards Tie Clip/Slide
The Life Guards Tie Clip/Slide
$24.57

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
$12.22

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

THE LIFE GUARDS WW2 STYLE CLOTH SHOULDER TITLE
THE LIFE GUARDS WW2 STYLE CLOTH SHOULDER TITLE
$10.00

Life Guards Tower Food Spirits Dancing Florida 3 1/2
Life Guards Tower Food Spirits Dancing Florida 3 1/2" Tall Shot Glass (555)
$3.80

Dismounted Sentry Life Guards London
Dismounted Sentry Life Guards London
$5.00

COLIN REEVES BAND OF LIFE GUARDS CD Royal Salute - Sony SK48473
COLIN REEVES BAND OF LIFE GUARDS CD Royal Salute - Sony SK48473
$10.75

Vintage British Life Guards Dress Trouser With Red Stripes, 36
Vintage British Life Guards Dress Trouser With Red Stripes, 36" waist, used
$14.99

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

REVELL 1/72 - Napoleonic Wars - British Life Guards - 2578 COMPLETE ON sprues
REVELL 1/72 - Napoleonic Wars - British Life Guards - 2578 COMPLETE ON sprues
$24.00

Life Guards Waterproof Regatta Jacket Fleece lined
Life Guards Waterproof Regatta Jacket Fleece lined
$58.90

1905 ATLANTIC CITY N.J. LIFE GUARDS ON BEACH @ BOARDWALK POSTCARD, VF
1905 ATLANTIC CITY N.J. LIFE GUARDS ON BEACH @ BOARDWALK POSTCARD, VF
$5.99

The Life Guards Brass Shoulder Title, British Army
The Life Guards Brass Shoulder Title, British Army
$6.38

Denmark 2008 Royal Life Guards 350th comp bklt--Attractive Topical (1400) MNH
Denmark 2008 Royal Life Guards 350th comp bklt--Attractive Topical (1400) MNH
$18.77

Uniform of the Life Guards of His Majesty's Cuirassier Regiment(set of 15 cards)
Uniform of the Life Guards of His Majesty's Cuirassier Regiment(set of 15 cards)
$38.00

Life Guards regiment embroidered KooGa Training Top
Life Guards regiment embroidered KooGa Training Top
$46.27

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

Life Guards in the Hamptons: A Willow Tate Novel
Life Guards in the Hamptons: A Willow Tate Novel
$3.85

BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED TENOR HORN (PC1)
BRITAINS 1899 LIFE GUARD BANDSMEN MOUNTED TENOR HORN (PC1)
$25.00

1931 Tobacco Base #12 Life Guards; Officer's full dress helmet 1815 Card 1i3
1931 Tobacco Base #12 Life Guards; Officer's full dress helmet 1815 Card 1i3
$0.99

The   Life Guards  Cap Badge
The Life Guards Cap Badge
$16.84

RUSSIAN IMPERIAL LIFE GUARDS BADGE OF PETROGRAD REGIMENT
RUSSIAN IMPERIAL LIFE GUARDS BADGE OF PETROGRAD REGIMENT
$50.00

Tin Soldiers * Unter officer Life Guards Regiment. Russia  * 54-60 mm *
Tin Soldiers * Unter officer Life Guards Regiment. Russia * 54-60 mm *
$7.00

Tin soldier, Tambourmajor of the Life Guards. Russia, 1814-15 54 mm
Tin soldier, Tambourmajor of the Life Guards. Russia, 1814-15 54 mm
$32.40

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

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

Set 66, The Life Guards, No. 1 Officer 1812-15 Militaria Postcard
Set 66, The Life Guards, No. 1 Officer 1812-15 Militaria Postcard
$8.00

British Army. Life Guards Genuine Officer’s Cap Badge
British Army. Life Guards Genuine Officer’s Cap Badge
$39.31

LONDON- GREAT BRITAIN-  LIFE GUARDS  - VINTAGE POSTCARD -1900s
LONDON- GREAT BRITAIN- LIFE GUARDS - VINTAGE POSTCARD -1900s
$4.99

Kingdom of England Life Guards Cavalry officer uniform horse
Kingdom of England Life Guards Cavalry officer uniform horse
$5.00

ATLANTIC CITY, NEW JERSEY - LIFE BOAT WITH LIFE GUARDS - OLD POSTCARD VIEW
ATLANTIC CITY, NEW JERSEY - LIFE BOAT WITH LIFE GUARDS - OLD POSTCARD VIEW
$6.99

The Life Guards Pair of Shoulder Titles Nice
The Life Guards Pair of Shoulder Titles Nice
$11.89

oil painting
oil painting" Life Guards Horse Regiment at the Senate Square" N10078
$398.00

Life Guards Premium Veteran Hoodie (119)
Life Guards Premium Veteran Hoodie (119)
$58.48

British Army. First Life Guards Genuine OR’s Cap Badge
British Army. First Life Guards Genuine OR’s Cap Badge
$49.14

Napoleonic Wars. Cavalry officer of the Life Guards Lancer Regiment of 1812-1814
Napoleonic Wars. Cavalry officer of the Life Guards Lancer Regiment of 1812-1814
$15.99

Russian Imperial Life Guards Preobrazhensky Regiment Sentry PC
Russian Imperial Life Guards Preobrazhensky Regiment Sentry PC
$79.00

Postcard NJ Cape May Launching The Life Boat Life Guards c1920s I1
Postcard NJ Cape May Launching The Life Boat Life Guards c1920s I1
$9.99

BRITISH ARMY CAVALRY LIFE GUARDS REGIMENT OFFICERS CAP BADGE
BRITISH ARMY CAVALRY LIFE GUARDS REGIMENT OFFICERS CAP BADGE
$15.00

1st Life Guards    1930's Camerascope Coloured Stereoscopic Photocard
1st Life Guards 1930's Camerascope Coloured Stereoscopic Photocard
$7.01

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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