Life Guards

Junior Lifeguards Sweatshirt Hoodie UCSB California Adult Small to Med
Junior Lifeguards Sweatshirt Hoodie UCSB California Adult Small to Med
$11.99

Britains Toy Soldiers 5184 British Soldiers Life Guards Limited Edition Set 1604
Britains Toy Soldiers 5184 British Soldiers Life Guards Limited Edition Set 1604
$118.68

The Lifeguards
The Lifeguards "Everybody Out'Ta The Pool" ABC-Paramount 45
$4.99

1903 WILLS SOLDIERS OF THE WORLD #47 INDIA LIFEGUARDS
1903 WILLS SOLDIERS OF THE WORLD #47 INDIA LIFEGUARDS
$2.99

BRITAINS 5195 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 1
BRITAINS 5195 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 1
$115.00

Rehobeth Bethany Dewey Beach Delaware lifeguards vintage continental pc (Z4659)
Rehobeth Bethany Dewey Beach Delaware lifeguards vintage continental pc (Z4659)
$3.99

Vintage 60’s Wyler Incaflex Life-Guard Swiss Manual-Wind Watch *RedGiftBox WORKS
Vintage 60’s Wyler Incaflex Life-Guard Swiss Manual-Wind Watch *RedGiftBox WORKS
$59.99

Britains Life Guards Mounted Trumpeter Set #2170 w/ Orig. Box
Britains Life Guards Mounted Trumpeter Set #2170 w/ Orig. Box
$158.00

Womens VICTORIA SECRET PINK Life Guard Logo Sweatshirt Sz Lg Pink
Womens VICTORIA SECRET PINK Life Guard Logo Sweatshirt Sz Lg Pink
$14.99

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$1.15

Lifeguard  Adult Hoodie Sweatshirt  Red Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
$26.95

Seachoice 4 Pack Coast Guard Approved Life Vests
Seachoice 4 Pack Coast Guard Approved Life Vests
$25.00

MENS LIFEGUARD LIFE GUARD MALIBU BEACH SHIRT BEACH POOL MEDIUM M GRAY RED
MENS LIFEGUARD LIFE GUARD MALIBU BEACH SHIRT BEACH POOL MEDIUM M GRAY RED
$3.00

Vintage Britains Toy Soldiers Set No 7228 Three Mounted Life Guards Excellent
Vintage Britains Toy Soldiers Set No 7228 Three Mounted Life Guards Excellent
$29.97

Cabana Life Girls Rash Guard Set - Orange White - Size 4 - New Without Tags
Cabana Life Girls Rash Guard Set - Orange White - Size 4 - New Without Tags
$14.99

Level B Bio Hazmat Suit Fire MOPP CBRNE Prepper Gear Zombie Life Guard Unused
Level B Bio Hazmat Suit Fire MOPP CBRNE Prepper Gear Zombie Life Guard Unused
$19.99

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
$215.88

W BRITAIN METAL TOY SOLDIER LMT ED 981 OF 70001 THE LIFEGUARDS #5184 W/ COA MIB
W BRITAIN METAL TOY SOLDIER LMT ED 981 OF 70001 THE LIFEGUARDS #5184 W/ COA MIB
$21.50

1954 TAPATCO #32 Life Preserver; 8 Cork Sections; Coast  Guard Mkd
1954 TAPATCO #32 Life Preserver; 8 Cork Sections; Coast Guard Mkd
$18.00

Ducal Traditional Military Figures Royal Life Guards 5001 Hand Painted
Ducal Traditional Military Figures Royal Life Guards 5001 Hand Painted
$49.95

54mm metal gloss painted toy soldier style life guards by gh figures
54mm metal gloss painted toy soldier style life guards by gh figures
$1.64

Small Vintage Stanley Pocket Tape Measure 6 Feet Life Guard Yellow MYT6
Small Vintage Stanley Pocket Tape Measure 6 Feet Life Guard Yellow MYT6
$4.99

BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
$168.00

SHIRTLESS LIFEGUARDS STEEPLECHASE POOL CONEY ISLAND 1940 GAY Interest Photo
SHIRTLESS LIFEGUARDS STEEPLECHASE POOL CONEY ISLAND 1940 GAY Interest Photo
$7.99

LIFE GUARD Pet Tank Top Dog T Shirt MEDIUM - NWT
LIFE GUARD Pet Tank Top Dog T Shirt MEDIUM - NWT
$2.99

U.S Coast Guard Approved Youth Childs Life Jacket Ski Vest Small
U.S Coast Guard Approved Youth Childs Life Jacket Ski Vest Small
$5.24

LIFEGUARD HAPPY DUCK LIFE GUARD DUCK WITH BUOY DUCKS  2013 SWAROVSKI    #1143443
LIFEGUARD HAPPY DUCK LIFE GUARD DUCK WITH BUOY DUCKS 2013 SWAROVSKI #1143443
$91.94

Britains Life Guards, in Winter Cloaks #400
Britains Life Guards, in Winter Cloaks #400
$128.00

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
$215.88

 ➨ Life Guard Station VENICE BEACH CA ➨ WOOD FRAME SURF PLEIN AIR ART Antonyuk
➨ Life Guard Station VENICE BEACH CA ➨ WOOD FRAME SURF PLEIN AIR ART Antonyuk
$175.00

100+ Lot of Boy Scouts Patches and Vintage Box BSA, Air Scout,Life Guard,UK etc.
100+ Lot of Boy Scouts Patches and Vintage Box BSA, Air Scout,Life Guard,UK etc.
$77.00

BRITAINS 00157 CEREMONIAL BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE SET
BRITAINS 00157 CEREMONIAL BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE SET
$62.95

Britains boxed Life Guards #1 (rare pre-war version-1925)
Britains boxed Life Guards #1 (rare pre-war version-1925)
$225.00

24 H.O SCALE GRAY GUARD RAILS FITS TOMY, AURORA AFX AUTO WORLD TYCO
24 H.O SCALE GRAY GUARD RAILS FITS TOMY, AURORA AFX AUTO WORLD TYCO
$14.99

Ducal Traditional Military Figures Royal Life Guards 5002 Hand Painted
Ducal Traditional Military Figures Royal Life Guards 5002 Hand Painted
$49.95

Magic Attic Doll Items: Displayed only: Top, Shoes, Hanger, Life guard Raft
Magic Attic Doll Items: Displayed only: Top, Shoes, Hanger, Life guard Raft
$1.99

POLO RALPH LAUREN MENS XL L/S SHIRT BLUE RARE VINTAGE Life Guard R.L.P.C PATCH
POLO RALPH LAUREN MENS XL L/S SHIRT BLUE RARE VINTAGE Life Guard R.L.P.C PATCH
$21.99

Set of 2 W. Britain Paint & Collect Metal Soldiers - Lifeguards - Beefeaters MOC
Set of 2 W. Britain Paint & Collect Metal Soldiers - Lifeguards - Beefeaters MOC
$18.88

Matchbox 2012 Hovercraft Gray White Red Rescue Life Guard New Loose
Matchbox 2012 Hovercraft Gray White Red Rescue Life Guard New Loose
$0.88

Toy Soldiers 5 Plastic Painted 60mm Victorian Era Life Horse Guards
Toy Soldiers 5 Plastic Painted 60mm Victorian Era Life Horse Guards
$12.50

Vintage Britain Limited Life Guard Soldiers b31
Vintage Britain Limited Life Guard Soldiers b31
$21.99

El Salvador MNH Scott #1293-1294 Red Cross Life Guards  Swimming CV $5
El Salvador MNH Scott #1293-1294 Red Cross Life Guards Swimming CV $5
$0.01

Old BRITAINS Lead, Life Guard Mounted Sentries, 2 Pieces Fm Set #2029 c.1950s
Old BRITAINS Lead, Life Guard Mounted Sentries, 2 Pieces Fm Set #2029 c.1950s
$19.99

Ducal Traditional Military Figures Royal Life Guards M18 Corporal of Horse
Ducal Traditional Military Figures Royal Life Guards M18 Corporal of Horse
$49.95

K/C 2nd Life Guards 25mm Brass metal military button(FIRMIN & SONS LD)
K/C 2nd Life Guards 25mm Brass metal military button(FIRMIN & SONS LD)
$4.97

LEGO Minifigures Series 2 Life Guard NEW 1 Removed from packet
LEGO Minifigures Series 2 Life Guard NEW 1 Removed from packet
$1.96

U.S. Life Saving Service Heroes Rescues Architecture of Early COAST GUARD book
U.S. Life Saving Service Heroes Rescues Architecture of Early COAST GUARD book
$9.99

1960's Tonka Life Guard Jeep Toy Excellent Plus W/ Raft / Racks / Strap
1960's Tonka Life Guard Jeep Toy Excellent Plus W/ Raft / Racks / Strap
$139.99

Lego City 7738 Coast Guard Helicopter & Life Raft (2008) Used 100% Complete
Lego City 7738 Coast Guard Helicopter & Life Raft (2008) Used 100% Complete
$24.99

Postcard Bathing Beach at Ocean City MD Beach Patrol Life Guard 1950s Swimsuits
Postcard Bathing Beach at Ocean City MD Beach Patrol Life Guard 1950s Swimsuits
$1.75

Pepper Spray - His & Hers (2) by Guard Dog / FREE pepper 4 life
Pepper Spray - His & Hers (2) by Guard Dog / FREE pepper 4 life
$7.04

Vintage Stanley Life Guard Yellow MY10 Tape Measure 10 Ft
Vintage Stanley Life Guard Yellow MY10 Tape Measure 10 Ft
$6.00

Sentry Sale! The Sentry Box - Life Guard & 3 Unknown Sentry Guards
Sentry Sale! The Sentry Box - Life Guard & 3 Unknown Sentry Guards
$45.00

Dresden 1st LIFE GUARD 11
Dresden 1st LIFE GUARD 11" figure - Great Condition
$285.00

Vintage Boy Scout Camp Badge Patch Lot X16 life guard red cross water safety old
Vintage Boy Scout Camp Badge Patch Lot X16 life guard red cross water safety old
$29.99

Military Militaria UK London 1st Life Guards Royal Cavalry Household
Military Militaria UK London 1st Life Guards Royal Cavalry Household
$4.99

LEGENDS Of The HIDDEN TEMPLE Antique Bronze PENDANT OF LIFE Necklace NEW Guard
LEGENDS Of The HIDDEN TEMPLE Antique Bronze PENDANT OF LIFE Necklace NEW Guard
$10.99

Victoria's Secret Pink Bikini Top Swimwear Suit Set XS White/Blue Life Guard
Victoria's Secret Pink Bikini Top Swimwear Suit Set XS White/Blue Life Guard
$12.00

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$8.89

Breyer # 3368 Life Guards of the Queens Household Cavalry New In Box Accessories
Breyer # 3368 Life Guards of the Queens Household Cavalry New In Box Accessories
$80.00

LIFE GUARD HOODED SWEAT SHIRT XL
LIFE GUARD HOODED SWEAT SHIRT XL
$20.00

VINTAGE 1935 BUILDERS 1 COR 3:1014 FRATERNAL PIN WITH LIFE '35 GUARD PIN
VINTAGE 1935 BUILDERS 1 COR 3:1014 FRATERNAL PIN WITH LIFE '35 GUARD PIN
$3.99

W BRITAINS LIMITED EDITION CAT. NO. 5195 THE LIFE GUARDS MOUNTED BAND
W BRITAINS LIMITED EDITION CAT. NO. 5195 THE LIFE GUARDS MOUNTED BAND
$179.99

Westminster Miniatures
Westminster Miniatures "British Lifeguards" 54mm Metal Toy Soldier Set of 8.
$39.99

UK - The Life Guards large buttons - Post-WWII British Army anodised armour
UK - The Life Guards large buttons - Post-WWII British Army anodised armour
$5.00

Britains The Life Guards Sentries No. 2029
Britains The Life Guards Sentries No. 2029
$85.00

1960 Emergency Life Pack -Coast Guard life boat rations and water -Cold War item
1960 Emergency Life Pack -Coast Guard life boat rations and water -Cold War item
$60.00

Britains Mounted Royal Life Guard Horse Soldier Lead Original Vintage Figure
Britains Mounted Royal Life Guard Horse Soldier Lead Original Vintage Figure
$14.99

PRINTED PHOTO POSTCARD BOATHOUSE LIFE GUARD KLIPSAN BEACH OCEAN PARK  WASHINGTON
PRINTED PHOTO POSTCARD BOATHOUSE LIFE GUARD KLIPSAN BEACH OCEAN PARK WASHINGTON
$7.95

Vintage Photo Pretty Girl on Life Guard Tower No Ball Playing Sign 992357
Vintage Photo Pretty Girl on Life Guard Tower No Ball Playing Sign 992357
$4.99

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
$24.97

Large US Coast Guard Life Saving Service Hat Badge - WW1 Era - No Reserve
Large US Coast Guard Life Saving Service Hat Badge - WW1 Era - No Reserve
$11.50

Set of 2 1994 MATTEL LIFE GUARD FIGURE W/ JETSKI
Set of 2 1994 MATTEL LIFE GUARD FIGURE W/ JETSKI
$1.99

Breyer  Model Horse Toy  - NIB 3368 Life Guards of the Queens Household Cavalry
Breyer Model Horse Toy - NIB 3368 Life Guards of the Queens Household Cavalry
$94.00

Limoges France Peint Main Hand Painted Life Guard Penguin Trinket Box Figure
Limoges France Peint Main Hand Painted Life Guard Penguin Trinket Box Figure
$29.00

Life August 9 1937 Watermelons Martha's Vineyard - Paris Expo - National Guard
Life August 9 1937 Watermelons Martha's Vineyard - Paris Expo - National Guard
$9.95

5 pc Set #1 Lifeguards Life Guards Vintage Britains Toy Solders c. 1946-1960
5 pc Set #1 Lifeguards Life Guards Vintage Britains Toy Solders c. 1946-1960
$138.00

M&M  AT THE BEACH / POOL  LIFEGUARDS  CANDY DISPENSER
M&M AT THE BEACH / POOL LIFEGUARDS CANDY DISPENSER
$10.99

Life Guard  Red Tee Shirt  Port Aransas Texas Officially Licenced Size M
Life Guard Red Tee Shirt Port Aransas Texas Officially Licenced Size M
$8.00

Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
$4.90

Lifeguards & Rainbow over beach view -  Rehoboth Beach, Delaware - postcard
Lifeguards & Rainbow over beach view - Rehoboth Beach, Delaware - postcard
$0.75

Life Guard Beach Shorts Long Beach Island Size Small Cotton Spandex
Life Guard Beach Shorts Long Beach Island Size Small Cotton Spandex
$5.00

BRITAINS /54MM/4PCS/C.1990'S/MOUNTED LIFE  GUARDS/ MINT NO BOX
BRITAINS /54MM/4PCS/C.1990'S/MOUNTED LIFE GUARDS/ MINT NO BOX
$80.00

LIVE COMMENTARY - TROOPING THE COLOUR 1988 LIVE CD - 1ST BN IRISH GUARDS
LIVE COMMENTARY - TROOPING THE COLOUR 1988 LIVE CD - 1ST BN IRISH GUARDS
$8.29

Xcel Mens PERFORMANCE Boardshorts Red 32 Surf Life Guard Shorts Hawaii Edition
Xcel Mens PERFORMANCE Boardshorts Red 32 Surf Life Guard Shorts Hawaii Edition
$9.99

Ducal Traditional Military Figures Royal Life Guards M21 Standard Bearer
Ducal Traditional Military Figures Royal Life Guards M21 Standard Bearer
$49.95

Xcel Mens Boardshorts Red 33 Surf Life Guard Shorts Hawaii Edition New With Tags
Xcel Mens Boardshorts Red 33 Surf Life Guard Shorts Hawaii Edition New With Tags
$14.99

TOYOTA Tacoma TRD SR5 4x4 Pickup Truck Life Guard Patrol Beach Matchbox
TOYOTA Tacoma TRD SR5 4x4 Pickup Truck Life Guard Patrol Beach Matchbox
$1.49

FIRST LIFE GUARDS BRASS CAP BADGE - GENUINE & ORIGINAL - KGV - household cavalry
FIRST LIFE GUARDS BRASS CAP BADGE - GENUINE & ORIGINAL - KGV - household cavalry
$13.27

Lifeguard Jersey Shore NJ Life Guard Sweatshirt Red Officially licensed
Lifeguard Jersey Shore NJ Life Guard Sweatshirt Red Officially licensed
$29.00

1940's Booklet - UBIKO FEEDS Co - How to Raise Hogs - Life Guard - Cincinnati OH
1940's Booklet - UBIKO FEEDS Co - How to Raise Hogs - Life Guard - Cincinnati OH
$1.95

Lifeguard  Adult Hoodie Sweatshirt  White Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt White Life Guard Brand New
$26.95

D-REX Life Like Prehistoric Pet Complete with Box, Can Guard and Communicate!
D-REX Life Like Prehistoric Pet Complete with Box, Can Guard and Communicate!
$49.99

LEGO 7738 Coast Guard Helicopter Life Raft USED 96% COMPLETE w/INSTRUCT NO BOX
LEGO 7738 Coast Guard Helicopter Life Raft USED 96% COMPLETE w/INSTRUCT NO BOX
$20.00

NOS 3 Pair (3 Pkg) Groboski Long Life Rubber Splash Guards 471 Series Quik Clip
NOS 3 Pair (3 Pkg) Groboski Long Life Rubber Splash Guards 471 Series Quik Clip
$9.99

Britains Life Guards, Mounted and foot, Set #2029
Britains Life Guards, Mounted and foot, Set #2029
$45.00

Love Tree For Life Front&Back Screen Protector Film Guard For Apple iPhone 5
Love Tree For Life Front&Back Screen Protector Film Guard For Apple iPhone 5
$2.09

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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