Life Guards

L@@K!! Polly Pocket CUTE Boy Doll Life Guard with SHOES!!
L@@K!! Polly Pocket CUTE Boy Doll Life Guard with SHOES!!
$5.24

Lifeguard  Adult Hoodie Sweatshirt  Red Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
$24.95

POLO RALPH LAUREN MENS RINCON LIFE GUARD BLACK KNIT NAUTICAL VEST LARGE Vintage?
POLO RALPH LAUREN MENS RINCON LIFE GUARD BLACK KNIT NAUTICAL VEST LARGE Vintage?
$17.99

OluKai Kia'i Trainer Hawaiin lifeguard approved Men's Size US 8.5 EUR 41.5
OluKai Kia'i Trainer Hawaiin lifeguard approved Men's Size US 8.5 EUR 41.5
$15.00

Lego Series 12 Minifigure Lifeguard
Lego Series 12 Minifigure Lifeguard
$4.99

California Police Patch SET- Laguna Beach Police / Lifeguard
California Police Patch SET- Laguna Beach Police / Lifeguard
$15.50

Life Guard women's sports gloves hiking cycle LM34-1108W
Life Guard women's sports gloves hiking cycle LM34-1108W
$4.30

Lifeguard Life Guard Adult Pullover Hoodie Sweatshirt Adult Red White New S-XL
Lifeguard Life Guard Adult Pullover Hoodie Sweatshirt Adult Red White New S-XL
$29.99

Britains # 1 The Life Guards
Britains # 1 The Life Guards
$69.99

Vtg Barbie & Ken 90s Doll CLothes Lot Mattel BAYWATCH Lifeguard Sets 1994
Vtg Barbie & Ken 90s Doll CLothes Lot Mattel BAYWATCH Lifeguard Sets 1994
$5.99

BRADLEY Camo Fishing Vest Life Jacket US Coast Guard Approved PFD with 2 pockets
BRADLEY Camo Fishing Vest Life Jacket US Coast Guard Approved PFD with 2 pockets
$29.99

December Diamonds Merman BUOY lifeguard - 2014 mermen boy New in Box --
December Diamonds Merman BUOY lifeguard - 2014 mermen boy New in Box --
$28.99

Britain's vintage  toy soldiers  # 1 THE LIFE GUARDS soldiers  pre-war
Britain's vintage toy soldiers # 1 THE LIFE GUARDS soldiers pre-war
$15.00

Atlantic City Beach Art with Lifeguards and bathers
Atlantic City Beach Art with Lifeguards and bathers
$30.00

LEGO Coast Guard Helicopter & Life Raft (7738) (NOT AVAILABLE IN STORES ANYMORE)
LEGO Coast Guard Helicopter & Life Raft (7738) (NOT AVAILABLE IN STORES ANYMORE)
$40.00

Westinghouse H39KC-175/C Mercury Lifeguard Lamp Bulb (White)
Westinghouse H39KC-175/C Mercury Lifeguard Lamp Bulb (White)
$1.99

LEGO NEW SERIES 12 MINIFIGURES 71007 YOU PICK MINIFIGS UNUSED ONLINE GAME CODE
LEGO NEW SERIES 12 MINIFIGURES 71007 YOU PICK MINIFIGS UNUSED ONLINE GAME CODE
$5.29


"Life Guards Of Queens Household Cavalry" Limited Edition Breyer Horse--5k Made!
$39.00

Life Guard women's sports gloves hiking cycle LM34-1108W
Life Guard women's sports gloves hiking cycle LM34-1108W
$3.25

NEW!!! LEGO 71007 SERIES 12 LIFEGUARD MINIFIGURE FREE SHIPPING & ONLINE CODE!!!!
NEW!!! LEGO 71007 SERIES 12 LIFEGUARD MINIFIGURE FREE SHIPPING & ONLINE CODE!!!!
$3.85

#12  VINTAGE PHOTO  SWIMSUIT MUSCLE  BULGE BUDDY BOY  LIFEGUARDS GUYS TWINKS GAY
#12 VINTAGE PHOTO SWIMSUIT MUSCLE BULGE BUDDY BOY LIFEGUARDS GUYS TWINKS GAY
$14.95

Vintage Britains Painted Lead Life Guard (Moving Arm) on Horseback
Vintage Britains Painted Lead Life Guard (Moving Arm) on Horseback
$7.74

Tetra LifeGuard 32 tabs
Tetra LifeGuard 32 tabs
$10.72

#18 VINTAGE PHOTO SWIMSUIT BULGE  LIFEGUARD  SOLDIER  BUDDY BOYS TWINK  MEN GAY
#18 VINTAGE PHOTO SWIMSUIT BULGE LIFEGUARD SOLDIER BUDDY BOYS TWINK MEN GAY
$18.95

Newport Beach CA Red Medium Lifeguard Hoody Sweatshirt
Newport Beach CA Red Medium Lifeguard Hoody Sweatshirt
$7.19

Janie and Jack boys shirt shorts set 6-12 months blue dog lifeguard seersucker
Janie and Jack boys shirt shorts set 6-12 months blue dog lifeguard seersucker
$8.99

Life Guard, Male Ornament -- Personalized FREE!
Life Guard, Male Ornament -- Personalized FREE!
$11.95

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$1.16

Life Gard 2: Life Guard 2 Pass Alarm
Life Gard 2: Life Guard 2 Pass Alarm
$50.00

LEGO Minifigure Series 12 - Lifeguard 71007
LEGO Minifigure Series 12 - Lifeguard 71007
$4.99

JANICE DICKINSON AUTOGRAPHED NO LIFEGUARD ON DUTY 2002 SUPERMODEL TOPLESS COVER
JANICE DICKINSON AUTOGRAPHED NO LIFEGUARD ON DUTY 2002 SUPERMODEL TOPLESS COVER
$3.79

Rare M&M Lifeguard 4x4 Rescue Jeep Truck Yellow Blue M&m's Off Road
Rare M&M Lifeguard 4x4 Rescue Jeep Truck Yellow Blue M&m's Off Road
$19.99

LEGO Friends 41028 Emma's Lifeguard Post New
LEGO Friends 41028 Emma's Lifeguard Post New
$14.68

I/H NEW 2014 Lego 71007 Series 12 Rock Star & Lifeguard Mini Figure Set
I/H NEW 2014 Lego 71007 Series 12 Rock Star & Lifeguard Mini Figure Set
$1.95

**RARE INTERMEDIATE ROYAL LIFE SAVING SOCIETY RESCUE LIFEGUARD PATCH CANADA **
**RARE INTERMEDIATE ROYAL LIFE SAVING SOCIETY RESCUE LIFEGUARD PATCH CANADA **
$0.99

Lifeguard  Adult Hoodie Sweatshirt  White Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt White Life Guard Brand New
$24.95

Seascapes 2 art prints, Ocean, Adirondak Chairs, Beach, Waves, Lifeguard Chair
Seascapes 2 art prints, Ocean, Adirondak Chairs, Beach, Waves, Lifeguard Chair
$6.99

The Lifeguard DVD
The Lifeguard DVD
$0.99

OEM ZF Lifeguard 6  Automatic Transmission Fluid    S671090255
OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$26.00

VICTORIA'S SECRET Pink VS Womens Favorite Sweatshirt Lifeguard Zip Hoodie LARGE
VICTORIA'S SECRET Pink VS Womens Favorite Sweatshirt Lifeguard Zip Hoodie LARGE
$2.00

HOLY GARUDA MAGIC BIRD GOD BUDDHA , LIFE GUARD THAI AMULET PENDANT
HOLY GARUDA MAGIC BIRD GOD BUDDHA , LIFE GUARD THAI AMULET PENDANT
$5.75

550 Paracord Mil Spec Type III 7 strand parachute cord 25ft, 50ft, 100 ft
550 Paracord Mil Spec Type III 7 strand parachute cord 25ft, 50ft, 100 ft
$7.99

Daytona Beach Lifeguard Hoodie
Daytona Beach Lifeguard Hoodie
$3.95

Women Lifeguard Navy Blue Hoodie Sweatshirt USA Size Large preowned
Women Lifeguard Navy Blue Hoodie Sweatshirt USA Size Large preowned
$2.99

Scarce Revell British Life Guards Cavalry1/72  plastic 2578
Scarce Revell British Life Guards Cavalry1/72 plastic 2578
$11.95

40 Inch Life Guard Rescue Tube
40 Inch Life Guard Rescue Tube
$10.00

Stearns Coast Guard approved boating Flotation Life Jacket Men's 40 42 M L
Stearns Coast Guard approved boating Flotation Life Jacket Men's 40 42 M L
$32.99

Life Jacket Vest Adult PFD Type III Fully Enclosed US Coast Guard Approved SAFE!
Life Jacket Vest Adult PFD Type III Fully Enclosed US Coast Guard Approved SAFE!
$33.57

Bud Light Lifeguard Chair w/ Buoys
Bud Light Lifeguard Chair w/ Buoys
$150.00

LEGO City Coast Guard Platform 4210 & 7738 Coast Guard Helicopter and Life Raft
LEGO City Coast Guard Platform 4210 & 7738 Coast Guard Helicopter and Life Raft
$50.00

Florida Lifeguard Patches
Florida Lifeguard Patches
$5.00

Lifeguard  (DVD, 2013, Widescreen)  Brand New
Lifeguard (DVD, 2013, Widescreen) Brand New
$18.99

Wusthof Gourmet 10-Inch Super Slicer #4519 With Knife-Life Blade Guard
Wusthof Gourmet 10-Inch Super Slicer #4519 With Knife-Life Blade Guard
$29.99

WW1 British Army Cap badge life guards 1st and 2nd 
WW1 British Army Cap badge life guards 1st and 2nd 
$7.80

No Lifeguard on Duty: The Accidental Life of the World's First Supermodel, Dicki
No Lifeguard on Duty: The Accidental Life of the World's First Supermodel, Dicki
$4.00

Mounted Lifeguard Band Toy Soldiers Lot of 3 Unknown Maker
Mounted Lifeguard Band Toy Soldiers Lot of 3 Unknown Maker
$27.00

Lifeguard Sweatpants
Lifeguard Sweatpants
$10.00

Lifeguard DVD 1976 Sam Elliot Anne Archer
Lifeguard DVD 1976 Sam Elliot Anne Archer
$16.47

Pottery Barn Nautical Wall Decor - Wood Sign Plaque - Life Guard on Duty
Pottery Barn Nautical Wall Decor - Wood Sign Plaque - Life Guard on Duty
$8.95

Red Speedo Life Guard Swimsuit Womens Size 10 36 EUC razor back
Red Speedo Life Guard Swimsuit Womens Size 10 36 EUC razor back
$6.99

OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
$5.56

VERY RARE ! U.S. Coast Guard Cutter CAPE ROMAIN Life preserver ring Alaska
VERY RARE ! U.S. Coast Guard Cutter CAPE ROMAIN Life preserver ring Alaska
$199.99

Original Pair of Shoulder Titles. L.G. Life Guards 
Original Pair of Shoulder Titles. L.G. Life Guards 
$12.49

TOYOTA TACOMA LIFEGUARD ≈  Matchbox 2014 ≈ Case J
TOYOTA TACOMA LIFEGUARD ≈ Matchbox 2014 ≈ Case J
$1.50

Barbie Baywatch Lifeguard Rescue boat; 1994, Mattel, great condition; 3+ girls
Barbie Baywatch Lifeguard Rescue boat; 1994, Mattel, great condition; 3+ girls
$0.99

Euc! Red FIFTH SUN 'Lifeguard' Tee-Shirt! Suoer Cute! Size L
Euc! Red FIFTH SUN 'Lifeguard' Tee-Shirt! Suoer Cute! Size L
$1.99

Lifeguard NEW DVD
Lifeguard NEW DVD
$16.97

Ducal DH5002, The Life Guards, Mounted Kettledrummer
Ducal DH5002, The Life Guards, Mounted Kettledrummer
$49.99

 LIFEGUARD HAWKER LG18-750f1A INDUSTRIAL BATTERY CHARGER
LIFEGUARD HAWKER LG18-750f1A INDUSTRIAL BATTERY CHARGER
$50.00

Lifeguard on Beer Break TIN SIGN funny vtg metal pool beach bar no swimming OHW
Lifeguard on Beer Break TIN SIGN funny vtg metal pool beach bar no swimming OHW
$11.91

Pewter British Cavalry Life Guard Officer 1790-1815, Series 77
Pewter British Cavalry Life Guard Officer 1790-1815, Series 77
$6.99

RARE Disney World Chip & Dale Lifeguard Pin **NEW**
RARE Disney World Chip & Dale Lifeguard Pin **NEW**
$4.99

ZF LIFEGUARD 6 Automatic Transmission Fluid For BMW Jaguar Benz 6 spd trans
ZF LIFEGUARD 6 Automatic Transmission Fluid For BMW Jaguar Benz 6 spd trans
$22.95

2 NEW Type II Orange Life Jacket Vest PFD - Adult Universal Coast Guard Approved
2 NEW Type II Orange Life Jacket Vest PFD - Adult Universal Coast Guard Approved
$10.00

SWAROVSKI  HAPPY DUCK  LIFEGUARD LOVLOT
SWAROVSKI HAPPY DUCK LIFEGUARD LOVLOT
$97.79

Speedo Lifeguard Swimsuit size 38 Talle
Speedo Lifeguard Swimsuit size 38 Talle
$10.00

LIFEGUARD TANK-TOP Tanktop Arched Image on front
LIFEGUARD TANK-TOP Tanktop Arched Image on front
$10.95

New South Wales magic lantern slides x 3 Coogee Beach life guard hut shark tower
New South Wales magic lantern slides x 3 Coogee Beach life guard hut shark tower
$15.62

British Army button
British Army button "2nd LIFE GUARDS" Cavalry regiment army button..
$0.02

BNWT Mens Officially Licenced Red Lifeguard Hoodie Seaside Heights / Wildwood NJ
BNWT Mens Officially Licenced Red Lifeguard Hoodie Seaside Heights / Wildwood NJ
$20.99

Britains
Britains "The Life Guards" #9206 (Old Set #1) 4 Mounted Troopers
$34.99

Vintage Britain Ltd. Proprietors Toy Life Guards Mounted Band Set
Vintage Britain Ltd. Proprietors Toy Life Guards Mounted Band Set
$50.00

Lifeguard Beach/ Bath Towel (30 x 60)  Life Guard Red White Classic
Lifeguard Beach/ Bath Towel (30 x 60) Life Guard Red White Classic
$9.75

LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
$0.02

Vtg 4 pc Sovereigns Standard Lifeguards Escort Toy Soldiers Britains Flag Trumpt
Vtg 4 pc Sovereigns Standard Lifeguards Escort Toy Soldiers Britains Flag Trumpt
$46.99

LEGO SERIES 12 MINIFIGURES PIGGY GUY GOTH GIRL WIZARD HUN JESTER YOUR CHOICE LEG
LEGO SERIES 12 MINIFIGURES PIGGY GUY GOTH GIRL WIZARD HUN JESTER YOUR CHOICE LEG
$4.75

Little Mermaid Infant Life Vest Jacket Preserver Coast Guard Approved S PFD
Little Mermaid Infant Life Vest Jacket Preserver Coast Guard Approved S PFD
$9.95

BRITAINS QUEEN'S LIFE GUARDS 8 MOUNTED WITH:RED CAPES-WHITE PLUMES-WHITE GLOVES
BRITAINS QUEEN'S LIFE GUARDS 8 MOUNTED WITH:RED CAPES-WHITE PLUMES-WHITE GLOVES
$56.00

Fox 40 Classic Whistle. Lifeguard! Safety! Official! Referee! $5.95 In Stores!
Fox 40 Classic Whistle. Lifeguard! Safety! Official! Referee! $5.95 In Stores!
$1.99

Medal Egypt Medal dated 1882 clasp Tel El Kebir Warrant Officer ex Life Guards
Medal Egypt Medal dated 1882 clasp Tel El Kebir Warrant Officer ex Life Guards
$112.58

WW1 HARRY PAYNE CHARGE THE FIRST LIFE GUARDS  KLEIN ZILLEBECKE  TUCK'S POSTCARD
WW1 HARRY PAYNE CHARGE THE FIRST LIFE GUARDS KLEIN ZILLEBECKE TUCK'S POSTCARD
$5.00

The Life Guards regimental mess plaque crest shield Household Cavalry
The Life Guards regimental mess plaque crest shield Household Cavalry
$31.27

Vintage New Old Stock WYLER Lifeguard Mens Watch Box with Outer box
Vintage New Old Stock WYLER Lifeguard Mens Watch Box with Outer box
$20.00

Lego Coast Guard Helicopter from set 60013 plus Life Boat and 3 Human Figures
Lego Coast Guard Helicopter from set 60013 plus Life Boat and 3 Human Figures
$15.95

Mens Christian T-Shirt My Lifeguard Walks On Water by Kerusso BRAND-NEW
Mens Christian T-Shirt My Lifeguard Walks On Water by Kerusso BRAND-NEW
$17.99

54MM PRO QUALITY PAINTED 1815 GREAT BRITIAN TROOPER 1ST LIFE GUARDS
54MM PRO QUALITY PAINTED 1815 GREAT BRITIAN TROOPER 1ST LIFE GUARDS
$49.99

1WW Canadian Army Military Music 1918 CEF Life Guards Regiment Band  Pipe
1WW Canadian Army Military Music 1918 CEF Life Guards Regiment Band Pipe
$18.76

NEW Straw Wet Products Beach Lifeguard Cap Hat
NEW Straw Wet Products Beach Lifeguard Cap Hat
$18.95

Officially Licensed Lifeguard T-Shirt (San Diego, CA) Adult M
Officially Licensed Lifeguard T-Shirt (San Diego, CA) Adult M
$7.95

Vintage cloth back TROOP LIFE GUARD B.S.A. patch (y8)
Vintage cloth back TROOP LIFE GUARD B.S.A. patch (y8)
$12.49

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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