Life Guards

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

Vintage  BRITISH Royal & Life Guards Hand-painted Cadets Plastic Figurines
Vintage BRITISH Royal & Life Guards Hand-painted Cadets Plastic Figurines
$3.99

Brigantine NJ New Jersey 4 Views Lighthouse Life Guards
Brigantine NJ New Jersey 4 Views Lighthouse Life Guards
$1.75

BSA Life Guard patch
BSA Life Guard patch
$3.33

LIFEGUARD HOODIE WHITE LOGO BEACH SWEATSHIRT CALIFORNIA BEACHES LIFE GUARD
LIFEGUARD HOODIE WHITE LOGO BEACH SWEATSHIRT CALIFORNIA BEACHES LIFE GUARD
$24.99

Old BRITAINS 1960s Lead, Mounted Band of the Life Guards, 12 Pc. Boxed Set #9406
Old BRITAINS 1960s Lead, Mounted Band of the Life Guards, 12 Pc. Boxed Set #9406
$249.99

The Life Guards original (George VI) Officers Service Dress Cap Badge.
The Life Guards original (George VI) Officers Service Dress Cap Badge.
$33.40

LIFE Magazine June 17, 1940 Knudsen, Dunkerque, Flanders, National Guard, VG
LIFE Magazine June 17, 1940 Knudsen, Dunkerque, Flanders, National Guard, VG
$4.90

Britain The Life Guards Mounted Band Set 2 #5295 Ltd Ed
Britain The Life Guards Mounted Band Set 2 #5295 Ltd Ed
$119.95

Life Guards wearing AC PATROL Uniforms ~ATLANTIC CITY - NJ~ Early Postcard, 1905
Life Guards wearing AC PATROL Uniforms ~ATLANTIC CITY - NJ~ Early Postcard, 1905
$7.99

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

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

LQQK 4X5 original 1940s negative, BEACH SCENE, LIFE GUARD, AND BEACH BABE #70
LQQK 4X5 original 1940s negative, BEACH SCENE, LIFE GUARD, AND BEACH BABE #70
$0.99

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

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

1964 Life Guards Mary Eytchison & Dennis Hyland Watch Julius Bores Press Photo
1964 Life Guards Mary Eytchison & Dennis Hyland Watch Julius Bores Press Photo
$16.94

Vintage
Vintage "Life Guard George" Stuffed Toy With Tag From Guarantee Bank 1979
$4.99

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

1st Life Guards Kings Guard Whitehall London England UK Postcard
1st Life Guards Kings Guard Whitehall London England UK Postcard
$6.15

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

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

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
$60.00

VINTAGE RED TONKA LIFE BOAT RAFT RESCUE SQUAD LIFEGUARD
VINTAGE RED TONKA LIFE BOAT RAFT RESCUE SQUAD LIFEGUARD
$5.00

235 WYSIWYG Searing Guard (Hillae) Live Coral 1207
235 WYSIWYG Searing Guard (Hillae) Live Coral 1207
$0.99

Sandlot Life Guard Wendy Peffercorn T Shirt Toddler / Youth / Adult Unisex
Sandlot Life Guard Wendy Peffercorn T Shirt Toddler / Youth / Adult Unisex
$20.00

Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915 (Paperback o
Life Guards: War Diary of the 1st Life Guards, First Year 1914-1915 (Paperback o
$19.65

BRITAINS DISMOUNTED LIFE GUARDS (26)
BRITAINS DISMOUNTED LIFE GUARDS (26)
$55.00

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

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


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

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

British Military Life Guards - Drum Horse (Military Misc.)(4X6Postcard) #8
British Military Life Guards - Drum Horse (Military Misc.)(4X6Postcard) #8
$4.85

WWI 2 Regimental Postcards Scots Guards & Life Guards
WWI 2 Regimental Postcards Scots Guards & Life Guards
$5.00

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

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

BASS LAKE, IND  BEACH SCENE WITH LIFE GUARD  JULY 13, 1955
BASS LAKE, IND BEACH SCENE WITH LIFE GUARD JULY 13, 1955
$3.99

Atlantic City New Jersey Life Guards Hospital Tent Antique Postcard K30582
Atlantic City New Jersey Life Guards Hospital Tent Antique Postcard K30582
$10.00

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

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
$11.67

1944 Life Guards on the beach Atlantic City New Jersey NJ Postcard
1944 Life Guards on the beach Atlantic City New Jersey NJ Postcard
$2.99

VINTAGE 80'S HOOTERS LIFE GUARD TANK-TOP SIZE L
VINTAGE 80'S HOOTERS LIFE GUARD TANK-TOP SIZE L
$15.00

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

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

Queen’s Life Guards St. James Palace London England Soldier Police Army Parade
Queen’s Life Guards St. James Palace London England Soldier Police Army Parade
$4.79

1944 Honour Life Guards Dewar's
1944 Honour Life Guards Dewar's "White Label" Whisky AD
$8.16

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

120 WYSIWYG Searing Guard (Hillae) Live Coral
120 WYSIWYG Searing Guard (Hillae) Live Coral
$0.99

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

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

Life Guards Hoodie
Life Guards Hoodie
$34.67

Britains Soldiers Set 2035 Swedish Svea Life Guards Ceremonial Dress Post War
Britains Soldiers Set 2035 Swedish Svea Life Guards Ceremonial Dress Post War
$175.00

Life Guards Performance Polo
Life Guards Performance Polo
$30.66

Life Guards in the Hamptons
Life Guards in the Hamptons
$3.99

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

OluKai Eleu Trainer Hawaiian Lifeguard Association Grey / Dk Shadow Mens 11 NWT
OluKai Eleu Trainer Hawaiian Lifeguard Association Grey / Dk Shadow Mens 11 NWT
$30.00

Long Beach CA California Pool Lifeguard Patch *RARE*
Long Beach CA California Pool Lifeguard Patch *RARE*
$3.99

Life Guards Regiment Polo Shirt Embroidered Logo
Life Guards Regiment Polo Shirt Embroidered Logo
$26.65

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
$125.71

GREENLIGHT 2017 Hobby 2016 FORD F-150 with Lifeguard Accessories Green Machine
GREENLIGHT 2017 Hobby 2016 FORD F-150 with Lifeguard Accessories Green Machine
$6.50

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

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

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

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  Unifirms
The Life Guards Dress and Appointments, 1660-1914 Unifirms
$12.34

Life Guards regiment embroidered KooGa Training Top
Life Guards regiment embroidered KooGa Training Top
$44.02

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

The Life Guards - embroidered logo t-shirt
The Life Guards - embroidered logo t-shirt
$17.37

The Life Guards Tie Clip/Slide
The Life Guards Tie Clip/Slide
$23.38

Press Photo Life Saving life guards pool - DFPD71825
Press Photo Life Saving life guards pool - DFPD71825
$12.99

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

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

LIFE GUARDS Mini Plate Wade England Small 4 1/4
LIFE GUARDS Mini Plate Wade England Small 4 1/4"
$7.78

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

Ducal Traditional Military DH3 Royal Life Guard Sweden Mounted Kettle Drummer
Ducal Traditional Military DH3 Royal Life Guard Sweden Mounted Kettle Drummer
$35.00

White metal soldier, Life Guards Dragoons, Cavalryman № 2, Imperial Guard, 54 mm
White metal soldier, Life Guards Dragoons, Cavalryman № 2, Imperial Guard, 54 mm
$25.00

RUSSIAN IMPERIAL LIFE GUARDS BADGE OF PETROGRAD REGIMENT
RUSSIAN IMPERIAL LIFE GUARDS BADGE OF PETROGRAD REGIMENT
$45.00

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

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

Life Guards Waterproof Regatta Jacket Fleece lined
Life Guards Waterproof Regatta Jacket Fleece lined
$61.38

Attire Cavalry Life Guards regiment of His Majesty. 1731-1847(set of 15 cards)
Attire Cavalry Life Guards regiment of His Majesty. 1731-1847(set of 15 cards)
$38.00

BUBBAROPE LIFE GUARDS LENGH 2 FEET X 7.500
BUBBAROPE LIFE GUARDS LENGH 2 FEET X 7.500"
$12.00

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

UK London Life Guards
UK London Life Guards
$4.00

The Life Guards - T Shirt
The Life Guards - T Shirt
$13.35

Russian Empire Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
Russian Empire Private Life - Guards Semenov regiment 1812 Tin Figurine Soldier
$12.00

White metal soldier, Life Guards Dragoons, Cavalryman № 1, Imperial Guard, 54 mm
White metal soldier, Life Guards Dragoons, Cavalryman № 1, Imperial Guard, 54 mm
$15.00

Denmark 1986 Life Guards Barracks FDC First Day Cover #C22686
Denmark 1986 Life Guards Barracks FDC First Day Cover #C22686
$1.32

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

Wend-Al, Mounted Life Guard Standard Bearer; Vintage Soldier; Ex+;Original Stick
Wend-Al, Mounted Life Guard Standard Bearer; Vintage Soldier; Ex+;Original Stick
$16.99

Set 66, The Life Guards, No. 5 Trooper c. 1814 (1812-15) Militaria Postcard
Set 66, The Life Guards, No. 5 Trooper c. 1814 (1812-15) Militaria Postcard
$8.00

Set 66, The Life Guards, No. 6 Trooper c 1813 (1812-15) Militaria Postcard
Set 66, The Life Guards, No. 6 Trooper c 1813 (1812-15) Militaria Postcard
$8.00

Set 66, The Life Guards, No. 2 Officer 1813 (1812-15) Militaria
Set 66, The Life Guards, No. 2 Officer 1813 (1812-15) Militaria
$8.00

Second Life Guards  Cap Badge
Second Life Guards Cap Badge
$16.02

Set 66, The Life Guards, No. 4 Officer (1812) 1815 Militaria
Set 66, The Life Guards, No. 4 Officer (1812) 1815 Militaria
$8.00

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

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

Set 66, The Life Guards, No. 3 N.G.O. 1813 (1812-15) Militaria Postcard
Set 66, The Life Guards, No. 3 N.G.O. 1813 (1812-15) Militaria Postcard
$8.00

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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