Life Guards

Kolobob about ELITE Soldier: Tambour-Major of Izmaylovskiy Life-Guard Reg.
Kolobob about ELITE Soldier: Tambour-Major of Izmaylovskiy Life-Guard Reg.
$169.00

BAYWATCH LIFEGUARD INFLATABLE RED FLOAT 29
BAYWATCH LIFEGUARD INFLATABLE RED FLOAT 29" LIFE GUARD FANCY DRESS COSTUME FLOAT
$13.95

Shepard Fairey Lifeguard Not on Duty Print Poster Obey Giant SOLD OUT
Shepard Fairey Lifeguard Not on Duty Print Poster Obey Giant SOLD OUT
$149.00

Christmas Pink Flamingo Beach Lifeguard Holiday Tree Ornament
Christmas Pink Flamingo Beach Lifeguard Holiday Tree Ornament
$2.50

Choose Your Item(s) - Lego Mini Figures 71007 Series 12
Choose Your Item(s) - Lego Mini Figures 71007 Series 12
$4.83

Lego Lifeguard Station / Referee Stand 41008 Friends Sports Pool Tennis Beach
Lego Lifeguard Station / Referee Stand 41008 Friends Sports Pool Tennis Beach
$8.70

Wyler Inclaflex Classic LifeGuard ~ Heavy Duty  660 ~
Wyler Inclaflex Classic LifeGuard ~ Heavy Duty 660 ~
$299.00

Lifeguard Whistle w/Lanyard
Lifeguard Whistle w/Lanyard
$3.95

LEGO - CITY - Coast Guard Helicopter & Life Raft #7738
LEGO - CITY - Coast Guard Helicopter & Life Raft #7738
$35.00

Vintage 1960s W. Britain Lead Toy Soldiers ~ Original Box ~ Life Guards No. 9205
Vintage 1960s W. Britain Lead Toy Soldiers ~ Original Box ~ Life Guards No. 9205
$55.99

NBC BAYWATCH BAY WATCH LA LIFEGUARD SWIM SUIT 4
NBC BAYWATCH BAY WATCH LA LIFEGUARD SWIM SUIT 4" PATCH
$7.95

lego minifigures series 12 (71007) Lot Of 4 Figures -Piggy Guy, Life Guard, etc
lego minifigures series 12 (71007) Lot Of 4 Figures -Piggy Guy, Life Guard, etc
$7.50

Old RPPC Ocean Grove, NJ, Lifeguards? Bathing Suits Guys OGA
Old RPPC Ocean Grove, NJ, Lifeguards? Bathing Suits Guys OGA
$6.16

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

LEGO Series 12 Lifeguard Guy loose
LEGO Series 12 Lifeguard Guy loose
$0.99

O'NEILL MENS CAMO SURF BUCKET HAT OSFM CAMOUFLAGE RVCA SUNWEAR SOFT LIFEGUARD NW
O'NEILL MENS CAMO SURF BUCKET HAT OSFM CAMOUFLAGE RVCA SUNWEAR SOFT LIFEGUARD NW
$6.99

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

Classic Life Guard Bathingsuit One Piece Swimsuit Water Safety Products Large
Classic Life Guard Bathingsuit One Piece Swimsuit Water Safety Products Large
$14.99

1939 Photo Four Lifeguards Line Up In Their Swimsuits
1939 Photo Four Lifeguards Line Up In Their Swimsuits
$13.49

OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
$5.91

THE FIRST LIFE GUARDS TROOPERS CAP BADGE,K/C.1916 ISSUE.
THE FIRST LIFE GUARDS TROOPERS CAP BADGE,K/C.1916 ISSUE.
$72.15

VINTAGE 1930 S LIFEGUARD MILITARY BATHING SWIM WOOL SUIT
VINTAGE 1930 S LIFEGUARD MILITARY BATHING SWIM WOOL SUIT
$9.99

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

Breyer  Horse
Breyer Horse "The Life Guards of the Queen's Household Calvary" Lt. Ed. NIB
$75.00

LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
$0.98

 Lego series 12 Lifeguard
Lego series 12 Lifeguard
$1.02

[Large Print Edition] Lifeguard by James Patterson & Andrew Cross
[Large Print Edition] Lifeguard by James Patterson & Andrew Cross
$3.97

Red  BIRDWELL Beach Britches Swim Board LIFEGUARD Shorts
Red BIRDWELL Beach Britches Swim Board LIFEGUARD Shorts
$26.00

BARBIE DOLL CLOTHES - KEN BAYWATCH LIFEGUARD SWIMSUIT SET w/ SHOES
BARBIE DOLL CLOTHES - KEN BAYWATCH LIFEGUARD SWIMSUIT SET w/ SHOES
$3.99

Lifeguard Swimsuit (Red) 1 Piece
Lifeguard Swimsuit (Red) 1 Piece
$19.95

STANLEY STEELMASTER 100 FOOT TAPE RULE - LIFE GUARD YELLOW - MY100A - RULER
STANLEY STEELMASTER 100 FOOT TAPE RULE - LIFE GUARD YELLOW - MY100A - RULER
$2.25

New Christian T-Shirt Adult Size XL My Lifeguard Walks On Water
New Christian T-Shirt Adult Size XL My Lifeguard Walks On Water
$10.50

Lifeguard Straw Hat-L/XL #388
Lifeguard Straw Hat-L/XL #388
$9.99

Victorian Brass Martingale badge  Lifeguards Regiment,. horse badge,
Victorian Brass Martingale badge Lifeguards Regiment,. horse badge,
$40.07

WOW NEW OLD STOCK VINTAGE MEN'S LIFEGUARD BATHING SUIT SZ 32 RED
WOW NEW OLD STOCK VINTAGE MEN'S LIFEGUARD BATHING SUIT SZ 32 RED
$49.99

Brand New DS Farmers Market Hawaii Baewatch Lifeguard Snapback Cap + Sticker Set
Brand New DS Farmers Market Hawaii Baewatch Lifeguard Snapback Cap + Sticker Set
$185.00

1/6 SCALE  UNIFORM VEST FOR A 12
1/6 SCALE UNIFORM VEST FOR A 12" FIGURE # V3 U.S. COAST GUARD LIFE VEST
$3.29

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

TV Series Life Guard Fancy Dress Up Lifegurad Costumes Beach Baywatch Costume
TV Series Life Guard Fancy Dress Up Lifegurad Costumes Beach Baywatch Costume
$16.99

Army Household Cavalry White leather Breeches Life Horse Guards Ceremonial
Army Household Cavalry White leather Breeches Life Horse Guards Ceremonial
$64.13

Red San Diego California Lifeguard Hooded Sweatshirt
Red San Diego California Lifeguard Hooded Sweatshirt
$12.00

New Women's Lifeguard beach safety Pool Staff Sexy Cotton TANK TOP RED WHITE
New Women's Lifeguard beach safety Pool Staff Sexy Cotton TANK TOP RED WHITE
$14.11

2002 Fashion Polly Rick
2002 Fashion Polly Rick "Cool Careers" MOC (Doctor & Lifeguard) Polly Pocket
$7.00

Young MEN Negro Black BEACH LIFE GUARD BATHING SUIT Bulge snapshot photo Qty 2
Young MEN Negro Black BEACH LIFE GUARD BATHING SUIT Bulge snapshot photo Qty 2
$9.99

Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
$2.80

Sexy Off Duty Lifeguard Halloween costume Size M/L 10-14
Sexy Off Duty Lifeguard Halloween costume Size M/L 10-14
$12.99

RARE 2000 WALT DISNEY WORLD BEACH CLUB RESORT MICKEY MOUSE LIFEGUARD PIN
RARE 2000 WALT DISNEY WORLD BEACH CLUB RESORT MICKEY MOUSE LIFEGUARD PIN
$3.99

FANNY PACK WAIST HIP BAG WITH GUARD LOGO LIFEGUARD EMT EMS TRAVEL POUCH
FANNY PACK WAIST HIP BAG WITH GUARD LOGO LIFEGUARD EMT EMS TRAVEL POUCH
$5.99

MYRTLE BEACH  LIFE GUARD HOODIE ADULT XL OFFICIALLY LICENSED LIFEGUARD PRODUCT
MYRTLE BEACH LIFE GUARD HOODIE ADULT XL OFFICIALLY LICENSED LIFEGUARD PRODUCT
$15.50

LEGO 71007 Minifigures Series 12 Lifeguard & Series 2 Lifeguard, fast shipping!
LEGO 71007 Minifigures Series 12 Lifeguard & Series 2 Lifeguard, fast shipping!
$8.99

BARBIE DOLL CLOTHES - BAYWATCH LIFEGUARD SWIMSUIT SET w/ SHOES
BARBIE DOLL CLOTHES - BAYWATCH LIFEGUARD SWIMSUIT SET w/ SHOES
$3.99

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

NEW LEGO City #7738 Coast Guard Helicopter & Life Raft  retired SEALED
NEW LEGO City #7738 Coast Guard Helicopter & Life Raft retired SEALED
$34.00

Lego Minifigure Series 12 Life Guard
Lego Minifigure Series 12 Life Guard
$3.26

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

 Lego series 12 Lifeguard
Lego series 12 Lifeguard
$0.97

LEGO City 7738 Coast Guard Helicopter and Life Raft 4 minifigs Shark Complete
LEGO City 7738 Coast Guard Helicopter and Life Raft 4 minifigs Shark Complete
$40.00

Kyser Classical Guitar  LIfeguard Humidifier
Kyser Classical Guitar LIfeguard Humidifier
$14.69

1940 Galveston Texas Lifeguard Shows Off Patrol Car & Equipment Press Photo
1940 Galveston Texas Lifeguard Shows Off Patrol Car & Equipment Press Photo
$24.99

BARLAY / MANOIL BEACH SCENE-LIFEGUARD AND STAND, SUN BATHERS AND BOAT
BARLAY / MANOIL BEACH SCENE-LIFEGUARD AND STAND, SUN BATHERS AND BOAT
$19.61

LEGO Minifigure Series 12 - Lifeguard
LEGO Minifigure Series 12 - Lifeguard
$5.95

BRITIANS Vintage 1953-1959 Set # 2067 Sovereign's Standard of the Life Guards
BRITIANS Vintage 1953-1959 Set # 2067 Sovereign's Standard of the Life Guards
$39.95

Vintage handsome lifeguard swimsuit bulge woman photo man gay int
Vintage handsome lifeguard swimsuit bulge woman photo man gay int
$9.99

Lifeguard Pea Whistle
Lifeguard Pea Whistle
$0.99

Mens Steve & Barrys
Mens Steve & Barrys "Lifeguard" Wind Breaker Pullover Jacket Size L Or XL
$0.99

BRITAINS 7226 ROYAL HOUSEHOLD LIFEGUARDS YEOMAN of the GUARD & SCOTS GUARDS
BRITAINS 7226 ROYAL HOUSEHOLD LIFEGUARDS YEOMAN of the GUARD & SCOTS GUARDS
$14.95

LEGO #71007 Minifigure Series 12  LIFEGUARD GUY
LEGO #71007 Minifigure Series 12 LIFEGUARD GUY
$5.99

Vintage Photo of Lifeguards on the
Vintage Photo of Lifeguards on the "Municipal" Beach 1940's
$34.00

VINTAGE 1971 LIFEGUARD BUBBLING BOY IN FOUNTAIN CLASSIC FIGURE ORNAMENT NEW
VINTAGE 1971 LIFEGUARD BUBBLING BOY IN FOUNTAIN CLASSIC FIGURE ORNAMENT NEW
$0.01

BEACH LAMP!! Lifeguard Chair~~No Shade~~EUC, Beach, Pool, Lakehouse
BEACH LAMP!! Lifeguard Chair~~No Shade~~EUC, Beach, Pool, Lakehouse
$19.99

Stanley Life Guard Yellow Tape Rule Measure 10' foot 1/2
Stanley Life Guard Yellow Tape Rule Measure 10' foot 1/2" Wide New Old Stock
$5.99

2014 MATCHBOX
2014 MATCHBOX "TOYOTA TACOMA"--LIFE GUARD--NEW RELEASE
$0.99

FANCY DRESS HALLOWEEN COSTUME PARTY PROP PATCH: Baywatch Swimsuit LIFEGUARD
FANCY DRESS HALLOWEEN COSTUME PARTY PROP PATCH: Baywatch Swimsuit LIFEGUARD
$12.99

ANDREW CHRISTIAN Medium ~RED LIFEGUARD MuSCLE SHIRT.  100% Cotton,  Athletic.
ANDREW CHRISTIAN Medium ~RED LIFEGUARD MuSCLE SHIRT. 100% Cotton, Athletic.
$7.99

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$0.01

Russian officer of Life Guard of Imperial Family 4th rifle battalion
Russian officer of Life Guard of Imperial Family 4th rifle battalion
$58.00

Printed men's Lifeguard beach Mens t-shirt safety Pool Staff RED TANK TOP
Printed men's Lifeguard beach Mens t-shirt safety Pool Staff RED TANK TOP
$10.95

blown glass Christmas ornament lifeguard hippo 4¾
blown glass Christmas ornament lifeguard hippo 4¾" hand painted
$9.99

LIFEGUARD LEGO Minifigures Series 12 Mini Figure Complete 2014 Life Guard
LIFEGUARD LEGO Minifigures Series 12 Mini Figure Complete 2014 Life Guard
$2.95

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

RPPC LIFE SAVING CREW EVANSTON ILLINOIS RESCUE BOAT EARLY 1900'S COAST GUARD
RPPC LIFE SAVING CREW EVANSTON ILLINOIS RESCUE BOAT EARLY 1900'S COAST GUARD
$7.99

The LIFEGUARDS (Bill Haley's Comets) Everybody Out'ta the Pool-1959 45 Near Mint
The LIFEGUARDS (Bill Haley's Comets) Everybody Out'ta the Pool-1959 45 Near Mint
$6.99

Adult Off Duty Lifeguard Costume
Adult Off Duty Lifeguard Costume
$17.99

FASHION POLLY POCKET COOL CAREERS RICK BOY DOCTOR & LIFEGUARD DOLL MOC 2002
FASHION POLLY POCKET COOL CAREERS RICK BOY DOCTOR & LIFEGUARD DOLL MOC 2002
$4.99

TWO LIFEGUARDS IN THE WATER VINTAGE SNAPSHOT PHOTO
TWO LIFEGUARDS IN THE WATER VINTAGE SNAPSHOT PHOTO
$15.49

No Lifeguard on Duty: The Accidental Life of the World's First Supermodel
No Lifeguard on Duty: The Accidental Life of the World's First Supermodel
$4.18

Vintage Britians Life Guard Guidon Soldier Holding Flag Horse
Vintage Britians Life Guard Guidon Soldier Holding Flag Horse
$5.99

Vintage SIGNED Sloane Oil / Board Painting Beach Scene Sailboat Lifeguard NY yqz
Vintage SIGNED Sloane Oil / Board Painting Beach Scene Sailboat Lifeguard NY yqz
$8.76

Carmen Electra Baywatch Lifeguard 8x10 Candid Promo Photo SEXY!!
Carmen Electra Baywatch Lifeguard 8x10 Candid Promo Photo SEXY!!
$6.95

Womens Sweatshirt with hoodie, size S, Newport Beach Lifeguard, Red
Womens Sweatshirt with hoodie, size S, Newport Beach Lifeguard, Red
$18.00

100 Pcs Lifeguard Dental Medical Disposable Bouffant Caps 21
100 Pcs Lifeguard Dental Medical Disposable Bouffant Caps 21" White Blue
$0.99

**BAYWATCH LIFEGUARD BARBIE with DOLPHIN** Original Box 1994
**BAYWATCH LIFEGUARD BARBIE with DOLPHIN** Original Box 1994
$9.50

LIMITED EDITION BREYER TRADITIONAL 1/9THSCALE LIFEGUARD QUEENS HOUSEHOLD CAVALRY
LIMITED EDITION BREYER TRADITIONAL 1/9THSCALE LIFEGUARD QUEENS HOUSEHOLD CAVALRY
$81.77

Mattel Barbie Baywatch Lifeguard Red Bathing Suit Lot
Mattel Barbie Baywatch Lifeguard Red Bathing Suit Lot
$5.00

LIFE GARD II, Ghostbusters 2 Movie Prop, Yellow Guard 2 Firefighter Pass Alarm
LIFE GARD II, Ghostbusters 2 Movie Prop, Yellow Guard 2 Firefighter Pass Alarm
$50.00

DOG PET VEST MEDIUM SAFETY REFLECTIVE LIFEGUARD LIFE JACKET SPORT BY WEST MARINE
DOG PET VEST MEDIUM SAFETY REFLECTIVE LIFEGUARD LIFE JACKET SPORT BY WEST MARINE
$8.99

BRITAINS HERALD EYES RIGHT MODELS ~LIFE GUARDS & BLUES/ROYALS FARRIER HORSEGUARD
BRITAINS HERALD EYES RIGHT MODELS ~LIFE GUARDS & BLUES/ROYALS FARRIER HORSEGUARD
$78.00

VINEYARD VINES LIFE GUARD RED CORDURY CLUB PANTS $98.50
VINEYARD VINES LIFE GUARD RED CORDURY CLUB PANTS $98.50
$44.99

Life guard hi cut one piece swimsuit Baywatch
Life guard hi cut one piece swimsuit Baywatch
$40.00

2 Vintage CITY OF PORT HUENEME California LIFEGUARD PATCH Unused RARE iron on
2 Vintage CITY OF PORT HUENEME California LIFEGUARD PATCH Unused RARE iron on
$0.49

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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