Life Guards

Britains #8892 Second Lifeguards 1993
Britains #8892 Second Lifeguards 1993
$24.99

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 The Lifeguards 5184 1984 Limited Edition
Britains The Lifeguards 5184 1984 Limited Edition
$47.02

Baywatch Lifeguard Patches
Baywatch Lifeguard Patches
$5.00

DLRG German Lifeguard Association pin badge WW1
DLRG German Lifeguard Association pin badge WW1
$30.99

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

Britains Vintage 1953-1965 1st Band of Life Guards MOUNTED
Britains Vintage 1953-1965 1st Band of Life Guards MOUNTED
$199.00

7 GERMAN HEINRICHSEN HEYDE ZINNFIGUREN TIN LEAD FLAT TOY SOLDIERS LIFEGUARD
7 GERMAN HEINRICHSEN HEYDE ZINNFIGUREN TIN LEAD FLAT TOY SOLDIERS LIFEGUARD
$10.50

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

LEGO Friends Emma's Lifeguard Post (41028)
LEGO Friends Emma's Lifeguard Post (41028)
$3.00

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

100% Complete LIFEGUARD Lego set 8684 COLLECTABLE MINIFIGURE Series 2 Life Guard
100% Complete LIFEGUARD Lego set 8684 COLLECTABLE MINIFIGURE Series 2 Life Guard
$1.04

Western Digital WD Green 2TB 2.5
Western Digital WD Green 2TB 2.5" WD20NPVX WTY 07/18/2015 Lifeguard Tested
$61.00

The Lifeguard (DVD, 2013)
The Lifeguard (DVD, 2013)
$0.99

Lego Minifigures: Lego City 2 Coast Guard w/ boat, life preservers, fins
Lego Minifigures: Lego City 2 Coast Guard w/ boat, life preservers, fins
$11.54

The Lifeguard DVD
The Lifeguard DVD
$0.99

Pair Of Lennan Lights U.S Coast Guard Life Saver
Pair Of Lennan Lights U.S Coast Guard Life Saver
$5.99

STANLEY X226 LIFE GUARD 72 INCH  FOUR WAY  EXTENSION RULE
STANLEY X226 LIFE GUARD 72 INCH FOUR WAY EXTENSION RULE
$5.99

SUBMARINE DIORAMA USS TANG
SUBMARINE DIORAMA USS TANG "LIFEGUARD AT TRUK"
$46.00

Kyser Lifeguard 6 or 12 String Acoustic Guitar Humidifier
Kyser Lifeguard 6 or 12 String Acoustic Guitar Humidifier
$11.85

Vintage San Francisco 49ers life guard chair
Vintage San Francisco 49ers life guard chair
$23.99

Lego Minifigure -- Series 12 -- NEW -- Life Guard
Lego Minifigure -- Series 12 -- NEW -- Life Guard
$0.49

Britains -  British Soldiers LifeGuards 5184
Britains - British Soldiers LifeGuards 5184
$45.00

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

# 5 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY MAN GAY INT.
# 5 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY MAN GAY INT.
$18.95

# 6 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY MAN GAY INT.
# 6 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY MAN GAY INT.
$18.95

# 7 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY MAN GAY INT.
# 7 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY MAN GAY INT.
$18.95

#8 VINTAGE PHOTO AFFECTIONATE  SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY GAY
#8 VINTAGE PHOTO AFFECTIONATE SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY GAY
$18.95

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

#9 VINTAGE PHOTO AFFECTIONATE  SWIMSUIT LIFEGUARD MUSCLE BULGE  SOLDIER BOY GAY
#9 VINTAGE PHOTO AFFECTIONATE SWIMSUIT LIFEGUARD MUSCLE BULGE SOLDIER BOY GAY
$18.95

#10 VINTAGE PHOTO SWIMSUIT LIFEGUARD MUSCLE BULGE  MAN SOLDIER BOY GAY
#10 VINTAGE PHOTO SWIMSUIT LIFEGUARD MUSCLE BULGE MAN SOLDIER BOY GAY
$18.95

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
$40.00

Kyser KLHA Lifeguard Acoustic Guitar Humidifier
Kyser KLHA Lifeguard Acoustic Guitar Humidifier
$14.99

#11 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE  MAN SOLDIER BOY GAY
#11 VINTAGE PHOTO TEEN SWIMSUIT LIFEGUARD MUSCLE BULGE MAN SOLDIER BOY GAY
$12.95

2 DBX 4 BUCKLE LIFE VESTS COAST GUARD APPROVED SIZE L/XL ROYAL BLUE
2 DBX 4 BUCKLE LIFE VESTS COAST GUARD APPROVED SIZE L/XL ROYAL BLUE
$40.00

#12 VINTAGE PHOTO SWIMSUIT LIFEGUARD BOXING  MUSCLE BULGE  MAN SOLDIER BOY GAY
#12 VINTAGE PHOTO SWIMSUIT LIFEGUARD BOXING MUSCLE BULGE MAN SOLDIER BOY GAY
$18.95

#14 VINTAGE PHOTO SWIMSUIT BUDDY  LIFEGUARD MUSCLE BULGE  MAN SOLDIER BOY GAY
#14 VINTAGE PHOTO SWIMSUIT BUDDY LIFEGUARD MUSCLE BULGE MAN SOLDIER BOY GAY
$18.95

OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
$5.00

#15 VINTAGE PHOTO SWIMSUIT   LIFEGUARD MUSCLE BULGE  MAN SOLDIER BOY GAY
#15 VINTAGE PHOTO SWIMSUIT LIFEGUARD MUSCLE BULGE MAN SOLDIER BOY GAY
$18.95

#16 VINTAGE PHOTO SWIMSUIT BEEFCAKE LIFEGUARD MUSCLE BULGE  MAN SOLDIER BOY GAY
#16 VINTAGE PHOTO SWIMSUIT BEEFCAKE LIFEGUARD MUSCLE BULGE MAN SOLDIER BOY GAY
$18.95

#19 VINTAGE PHOTO SWIMSUIT LIFEGUARD MUSCLE BULGE  MAN SOLDIER BOY GAY
#19 VINTAGE PHOTO SWIMSUIT LIFEGUARD MUSCLE BULGE MAN SOLDIER BOY GAY
$14.95

Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
$2.99

Lifeguard Chair 64 inches tall 5 foot base
Lifeguard Chair 64 inches tall 5 foot base
$50.00

Vintage Lead British Life Guard Cavalry Figures, Made in England
Vintage Lead British Life Guard Cavalry Figures, Made in England
$9.75

Britain Toy Soldiers The Life Guards #2029
Britain Toy Soldiers The Life Guards #2029
$13.50

NEW Burt's Bees LIFEGUARD'S CHOICE Weatherproofing Lip Balm Sun
NEW Burt's Bees LIFEGUARD'S CHOICE Weatherproofing Lip Balm Sun
$10.50

Lifeguard DVD 1976 Sam Elliot Anne Archer
Lifeguard DVD 1976 Sam Elliot Anne Archer
$13.57

BRAND NEW MAN SPEEDO Swim Trunks LifeGuard Shorts Size XL ( FREE SHIPPING)
BRAND NEW MAN SPEEDO Swim Trunks LifeGuard Shorts Size XL ( FREE SHIPPING)
$10.00

LIFE-LIKE  Transformer Controllers  Mattle Track and guard rails  USED
LIFE-LIKE Transformer Controllers Mattle Track and guard rails USED
$9.99

LEGO MINIFIGURES SERIES 2 (8684) THE
LEGO MINIFIGURES SERIES 2 (8684) THE "LIFEGUARD" FACTORY SEALED / RETIRED
$4.50

POLO RALPH LAUREN MENS RINCON
POLO RALPH LAUREN MENS RINCON "LIFE GUARD" HAND KNIT NAUTICAL VEST MENS LARGE
$22.50

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

The Lifeguard DVD
The Lifeguard DVD
$0.99

Vintage
Vintage "The Sentry Box" 10" Full Dress Model "The Life Guards"
$51.00

Rare Rescue Heroes Australia lifeguard figure may be unreleased or prototype
Rare Rescue Heroes Australia lifeguard figure may be unreleased or prototype
$39.99

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

TONKA 1960s LIFE GUARD JEEP #2306 with REPLACED RUBBER RAFT and BOX ~ 9.75-inch
TONKA 1960s LIFE GUARD JEEP #2306 with REPLACED RUBBER RAFT and BOX ~ 9.75-inch
$123.50

Good Vintage Britains Metal Toy Soldier 7246 Lifeguard Standard Bearer MIB
Good Vintage Britains Metal Toy Soldier 7246 Lifeguard Standard Bearer MIB
$6.90

Lego 7738 - City Coast Guard Helicopter and Life Raft
Lego 7738 - City Coast Guard Helicopter and Life Raft
$50.00

Victoria's Secret PINK Distressed Embroidered LIFEGUARD V Neck Sweatshirt! Med!
Victoria's Secret PINK Distressed Embroidered LIFEGUARD V Neck Sweatshirt! Med!
$9.99

Lifeguard Penguin at the Beach - authentic FRENCH LIMOGES box
Lifeguard Penguin at the Beach - authentic FRENCH LIMOGES box
$105.00

MENS SHORT INSEAM RARE 100% NYLON LIFEGUARD LIFE GUARD ATHLETIC SHORTS
MENS SHORT INSEAM RARE 100% NYLON LIFEGUARD LIFE GUARD ATHLETIC SHORTS
$5.00

LEGO Series 12 Lifeguard Guy loose
LEGO Series 12 Lifeguard Guy loose
$1.69

18 LA County Lifeguard Patches
18 LA County Lifeguard Patches
$5.50

RARE VINTAGE 1979 ENESCO LIFEGUARD ON THE WATCH TOOTHBRUSH HOLDER
RARE VINTAGE 1979 ENESCO LIFEGUARD ON THE WATCH TOOTHBRUSH HOLDER
$9.99

Photo Portland OR 1905-10 Park Lifeguards The Oaks R.B. Bathing Suits Natatorium
Photo Portland OR 1905-10 Park Lifeguards The Oaks R.B. Bathing Suits Natatorium
$9.99

DISNEY WORLD CAST EXCLUSIVE CHIP & DALE LIFEGUARD 2005 PIN NEW IN WRAP 39968
DISNEY WORLD CAST EXCLUSIVE CHIP & DALE LIFEGUARD 2005 PIN NEW IN WRAP 39968
$4.99

The Lifeguard DVD
The Lifeguard DVD
$0.99

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$0.40

Dog Safety Neck & Paws Reflector Small Yellow Hurtta Lifeguard ~ NEW!
Dog Safety Neck & Paws Reflector Small Yellow Hurtta Lifeguard ~ NEW!
$14.99

Polo Ralph Lauren Mens Life Guard Rugby Shirt L (Custom Fit)
Polo Ralph Lauren Mens Life Guard Rugby Shirt L (Custom Fit)
$9.99

1953(HILL CO)QUEEN ELIZABETH CORONATION PROCESSION(6 X MOUNTED LIFEGUARD)METAL
1953(HILL CO)QUEEN ELIZABETH CORONATION PROCESSION(6 X MOUNTED LIFEGUARD)METAL
$3.45

vintage wyler incaflex life-guard selfe winding water-proof man watch 1970 1162
vintage wyler incaflex life-guard selfe winding water-proof man watch 1970 1162
$22.22

Lego Series 12 Minifigure Life Guard In Hand
Lego Series 12 Minifigure Life Guard In Hand
$6.99

Vintage Lanard WOW Girls  Lifeguard,Marine Biologist,Ski Patrol MOC Corps 3 3/4
Vintage Lanard WOW Girls Lifeguard,Marine Biologist,Ski Patrol MOC Corps 3 3/4"
$19.95

Lego 7738, City, Coast Guard Helicopter + Life raft, Plus 7737, 4WD + jet ski,
Lego 7738, City, Coast Guard Helicopter + Life raft, Plus 7737, 4WD + jet ski,
$35.00

ZN9-214 Santa Cruz Beaches Lifeguard San Jose Lot 61pcs Orig Color Film
ZN9-214 Santa Cruz Beaches Lifeguard San Jose Lot 61pcs Orig Color Film
$9.99

Tempered Glass Screen Protector Graphic Guard Shield for iphone 5 5S Life Bike
Tempered Glass Screen Protector Graphic Guard Shield for iphone 5 5S Life Bike
$0.50

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

Women's Red Lifeguard California Sweatshirt Hoodie Size Small S
Women's Red Lifeguard California Sweatshirt Hoodie Size Small S
$22.99

Life Like Nascar HO Slot Cars, Tracks, Guard Rails, Risers, Power Pack 50pc Lot
Life Like Nascar HO Slot Cars, Tracks, Guard Rails, Risers, Power Pack 50pc Lot
$25.99

Lionel (6-16970) 6424 L.A. County Flatcar with L.A. County life guard Boat
Lionel (6-16970) 6424 L.A. County Flatcar with L.A. County life guard Boat
$9.99

KYSER KLHA LIFEGUARD ACOUSTIC GUITAR HUMIDIFIER
KYSER KLHA LIFEGUARD ACOUSTIC GUITAR HUMIDIFIER
$14.96

2 Vintage Stanley Life Guard Yellow 6ft Pocket Tape Measure MYT6
2 Vintage Stanley Life Guard Yellow 6ft Pocket Tape Measure MYT6
$8.49

LEGO Friends Emma's Lifeguard Post (41028)
LEGO Friends Emma's Lifeguard Post (41028)
$7.50

Britains 2035 Svea Lifeguard Sweden
Britains 2035 Svea Lifeguard Sweden
$52.10

Lot 2 postcards Bethany Beach DE Lifeguards
Lot 2 postcards Bethany Beach DE Lifeguards
$2.99

WWII Life Boat & Life Raft Rations US Coast Guard Drinking Water 1 1/2 QT
WWII Life Boat & Life Raft Rations US Coast Guard Drinking Water 1 1/2 QT
$22.99

Life Guard women's sports gloves hiking cycle LM34-1106W
Life Guard women's sports gloves hiking cycle LM34-1106W
$3.25

Life Guard women's sports gloves hiking cycle LM34-1108W
Life Guard women's sports gloves hiking cycle LM34-1108W
$1.29

FRONTLINE NAPOLEONIC BRITISH IFG.8 1ST LIFE GUARDS TROOPER WOUNDED MIB
FRONTLINE NAPOLEONIC BRITISH IFG.8 1ST LIFE GUARDS TROOPER WOUNDED MIB
$32.00

LOS ANGELES COUNTY CALIFORNIA FIRE LIFEGUARD PATCH
LOS ANGELES COUNTY CALIFORNIA FIRE LIFEGUARD PATCH
$6.00

Vintage photo: Black swim team pool, lifeguards, African-American, Washington DC
Vintage photo: Black swim team pool, lifeguards, African-American, Washington DC
$7.99

Faded Glory 6m lifeguard one piece
Faded Glory 6m lifeguard one piece
$1.50

Vintage Mens Wyler Dynawind Lifeguard Watch Swiss D/D N4001-0447 Mechanical RUNS
Vintage Mens Wyler Dynawind Lifeguard Watch Swiss D/D N4001-0447 Mechanical RUNS
$9.99

Robert Harrop  Bulldog Mounted Life Guard DPLE12 w/ black horse No. 21/200
Robert Harrop Bulldog Mounted Life Guard DPLE12 w/ black horse No. 21/200
$400.00

LOS ANGELES COUNTY CALIFORNIA FIRE LIFEGUARD PARAMEDIC PATCH
LOS ANGELES COUNTY CALIFORNIA FIRE LIFEGUARD PARAMEDIC PATCH
$6.00

Mens Vtg POLO RALPH LAUREN Lifeguard  Mesh Lined Beach Swim Shorts XL Orange
Mens Vtg POLO RALPH LAUREN Lifeguard Mesh Lined Beach Swim Shorts XL Orange
$7.99

Hard Rock Hotel Orlando Plush Lifeguard 2003 Herrington Teddy Bear LE COA Nwt
Hard Rock Hotel Orlando Plush Lifeguard 2003 Herrington Teddy Bear LE COA Nwt
$19.99

5 EARLY 1900s  ARTIST  POSTCARDS  TUCKS OILETTE 2nd LIFEGUARDS no 9426
5 EARLY 1900s ARTIST POSTCARDS TUCKS OILETTE 2nd LIFEGUARDS no 9426
$7.82

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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