Life Guards

Lego City 7738 Coast Guard Helicopter and Life Raft
Lego City 7738 Coast Guard Helicopter and Life Raft
$24.99

Choose Your Item(s) - Lego Mini Figures 71007 Series 12
Choose Your Item(s) - Lego Mini Figures 71007 Series 12
$5.83

VINTAGE LATHIN BIDYNATOR AUTOMATIC 6-12 ORANGE NUMERALS 1-5 WHITE LIFEGUARD
VINTAGE LATHIN BIDYNATOR AUTOMATIC 6-12 ORANGE NUMERALS 1-5 WHITE LIFEGUARD
$9.99

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

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

Vintage COUNTY OF LOS ANGELES LIFEGUARD PATCH iron on Dept. Of Beaches
Vintage COUNTY OF LOS ANGELES LIFEGUARD PATCH iron on Dept. Of Beaches
$0.49

Original Vintage 35mm Slide - 1950 Lifeguards / Life Savers - Sydney Australia
Original Vintage 35mm Slide - 1950 Lifeguards / Life Savers - Sydney Australia
$6.88

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

Original Vintage 35mm Slide - 1950 Lifeguards / Life Savers - Sydney Australia
Original Vintage 35mm Slide - 1950 Lifeguards / Life Savers - Sydney Australia
$6.88

Automobile Token - FOR COMPLETE MOTORING SAFETY - GOODYEAR LIFEGUARDS - $2 S
Automobile Token - FOR COMPLETE MOTORING SAFETY - GOODYEAR LIFEGUARDS - $2 S
$0.99

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

BRITAINS LEAD RARE FOUR MOUNTED LIFE GUARD TRUMPETERS IN EXCELLENT ORIGINAL COND
BRITAINS LEAD RARE FOUR MOUNTED LIFE GUARD TRUMPETERS IN EXCELLENT ORIGINAL COND
$15.82

Stanley 12' LEVERLOCK Lime Green #30-982 / original LIFE GUARD blade MADE IN USA
Stanley 12' LEVERLOCK Lime Green #30-982 / original LIFE GUARD blade MADE IN USA
$7.49

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

Lifeguard Bathing Suit Two=piece
Lifeguard Bathing Suit Two=piece
$7.50

Lego LIFEGUARD 2014 Series 12 Mystery Minifigure 71007
Lego LIFEGUARD 2014 Series 12 Mystery Minifigure 71007
$0.99

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

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

LifeGuard Personal Breathalyzer ~ Preventative Tool for DUIs and Driving Safety
LifeGuard Personal Breathalyzer ~ Preventative Tool for DUIs and Driving Safety
$48.85

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

Britains Life Guards Winter Dress + Sussex Regt. toy soldiers
Britains Life Guards Winter Dress + Sussex Regt. toy soldiers
$119.99

DIANE RAY - Please Don't Talk To The Lifeguard 45  NM w-sleeve
DIANE RAY - Please Don't Talk To The Lifeguard 45 NM w-sleeve
$5.99

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

CAMDEN NY REAL PHOTO POSTCARD - SWIMMING AREA - LIFEGUARD
CAMDEN NY REAL PHOTO POSTCARD - SWIMMING AREA - LIFEGUARD
$2.99

Hydrodynamic Fishing Vest Life Jacket US Coast Guard Approved PFD XXL
Hydrodynamic Fishing Vest Life Jacket US Coast Guard Approved PFD XXL
$10.99

maui lifeguard sweatshirt
maui lifeguard sweatshirt
$10.00

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

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

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

BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
$48.95

NWT TYR Ladies Lifeguard DuraFast Max Back S 32
NWT TYR Ladies Lifeguard DuraFast Max Back S 32
$15.00

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

LEGO Friends 41028 Emma's Lifeguard Post New
LEGO Friends 41028 Emma's Lifeguard Post New
$11.82

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
$43.19

Lego  Minifigure Series 12 LIFEGUARD New with Code
Lego Minifigure Series 12 LIFEGUARD New with Code
$5.50

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
$4.35

Old RPPC Ocean Grove, NJ, Lifeguards? Bathing Suits Guys OGA
Old RPPC Ocean Grove, NJ, Lifeguards? Bathing Suits Guys OGA
$4.25

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

SCALA RAFFIA HAT / ORGANIC-NATURAL / L-XL / LIFEGUARD
SCALA RAFFIA HAT / ORGANIC-NATURAL / L-XL / LIFEGUARD
$18.50

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

BRITAINS 5195 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 1
BRITAINS 5195 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 1
$110.00

Officer of the Life Guards regiment. (white uniform) size 54 mm
Officer of the Life Guards regiment. (white uniform) size 54 mm
$39.00

Ten (10) Fox 40 Classic Whistles  Officiating/Coaching Lifeguard Safety.
Ten (10) Fox 40 Classic Whistles Officiating/Coaching Lifeguard Safety.
$18.98

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
$23.99

Fox 40 Classic Whistle With Lanyard! Sports Official! Lifeguard!
Fox 40 Classic Whistle With Lanyard! Sports Official! Lifeguard!
$1.99

SPEEDO RASH GUARD LIFEGUARD NWT SIZE8 MSRP $50.00 UPF 50
SPEEDO RASH GUARD LIFEGUARD NWT SIZE8 MSRP $50.00 UPF 50
$14.99

Baywatch Lifeguard Inflatable Float
Baywatch Lifeguard Inflatable Float
$14.96

Britains  Eyes Right life guard mounted band
Britains Eyes Right life guard mounted band
$400.00

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

LT. STEPHANIE HOLDEN BAYWATCH LIFEGUARD POSEABLE DOLL 1997 TOY ISLAND MIB NRFB
LT. STEPHANIE HOLDEN BAYWATCH LIFEGUARD POSEABLE DOLL 1997 TOY ISLAND MIB NRFB
$7.99

WILLIAM BRITAINS ~ HAMLEYS ~ #5863 LIFE GUARD & SCOTS GUARD
WILLIAM BRITAINS ~ HAMLEYS ~ #5863 LIFE GUARD & SCOTS GUARD
$21.95

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

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

THE FIRST LIFE GUARDS TROOPERS CAP BADGE,K/C.1916 ISSUE.
THE FIRST LIFE GUARDS TROOPERS CAP BADGE,K/C.1916 ISSUE.
$72.59

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

Life Guard High Risk Latex Exam PF/ 1245XL
Life Guard High Risk Latex Exam PF/ 1245XL
$13.75

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
$0.02

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

Britians8824 Lifeguard 1837 Mounted Metal Toy Soldier Metal Figure
Britians8824 Lifeguard 1837 Mounted Metal Toy Soldier Metal Figure
$15.00

Red  BIRDWELL Beach Britches Swim Board LIFEGUARD Shorts
Red BIRDWELL Beach Britches Swim Board LIFEGUARD Shorts
$11.50

Beach Patrol Lifeguard Water Rescue Costume Adult Baywatch Red Swimsuit 9610
Beach Patrol Lifeguard Water Rescue Costume Adult Baywatch Red Swimsuit 9610
$46.74

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

STANLEY STEELMASTER 100 FOOT TAPE RULE - LIFE GUARD YELLOW - MY100A - RULER
STANLEY STEELMASTER 100 FOOT TAPE RULE - LIFE GUARD YELLOW - MY100A - RULER
$0.99

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

Caseville, MI 1946 RPPC Huron State Park / Beach / Lifeguard / Swimmers
Caseville, MI 1946 RPPC Huron State Park / Beach / Lifeguard / Swimmers
$5.00

D-REX Life Like Prehistoric Pets Complete - Attacks, Guards, & Communicates!
D-REX Life Like Prehistoric Pets Complete - Attacks, Guards, & Communicates!
$70.00

Britains  Trooper, Life Guards -  #37B 1954  Boxed
Britains Trooper, Life Guards - #37B 1954 Boxed
$24.00

Victorian Brass Martingale badge  Lifeguards Regiment,. horse badge,
Victorian Brass Martingale badge Lifeguards Regiment,. horse badge,
$40.31

Scarce Illustrated History of The Life Guards
Scarce Illustrated History of The Life Guards
$12.50

NEW LEGO Friends 41028 Emmas Lifeguard Post
NEW LEGO Friends 41028 Emmas Lifeguard Post
$12.60

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

Army Household Cavalry White leather Breeches Life Horse Guards Ceremonial
Army Household Cavalry White leather Breeches Life Horse Guards Ceremonial
$64.52

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

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

HOT WHEELS PATH BEATER YELLOW LIFEGUARD
HOT WHEELS PATH BEATER YELLOW LIFEGUARD
$0.49

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

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

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

College and Pro Life Guard Adirondack Chairs
College and Pro Life Guard Adirondack Chairs
$150.00

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

WILLIAM BRITAINS 8012 LIFE GUARD
WILLIAM BRITAINS 8012 LIFE GUARD
$9.95

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

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

BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
$148.95

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

RARE VINTAGE MENS WYLER LIFE GUARD INCAFLEX WATCH 3470/6-1162 DYNAWIND **WORKS**
RARE VINTAGE MENS WYLER LIFE GUARD INCAFLEX WATCH 3470/6-1162 DYNAWIND **WORKS**
$24.99

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

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

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

Guard Dog 3 in 1 Pepper Spray: w/CS Military Tear Gas /FREE Pepper 4 life
Guard Dog 3 in 1 Pepper Spray: w/CS Military Tear Gas /FREE Pepper 4 life
$5.99

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

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

Boot Protectors YAKTRAX Extend the Life of your Work Boots BROWN Hiking GUARDS
Boot Protectors YAKTRAX Extend the Life of your Work Boots BROWN Hiking GUARDS
$11.98

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

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

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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