Life Guards

Lifeguard Whistle w/Lanyard
Lifeguard Whistle w/Lanyard
$1.95

Sentry Sale! The Sentry Box - Life Guard & 3 Unknown Sentry Guards
Sentry Sale! The Sentry Box - Life Guard & 3 Unknown Sentry Guards
$40.00

1997 Lifeguard Stand with boat Watch your children Ocean City Md Collectible Inc
1997 Lifeguard Stand with boat Watch your children Ocean City Md Collectible Inc
$10.99

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

JIM BUOY 19
JIM BUOY 19" LIFE GUARD Type PREMIUM RING BUOY Cal June INC. THROW RING
$39.00

Lego 71007 Series 12 - LIFEGUARD -  Character - SEALED Never Opened!!
Lego 71007 Series 12 - LIFEGUARD - Character - SEALED Never Opened!!
$4.25

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

OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
$6.25

OXYGEN CYLINDER BAG EMS FIRE RESCUE FIRST AID LIFEGUARD FIRST RESPONDER
OXYGEN CYLINDER BAG EMS FIRE RESCUE FIRST AID LIFEGUARD FIRST RESPONDER
$22.99

Kyser KLHC Lifeguard Classical Guitar Humidifier
Kyser KLHC Lifeguard Classical Guitar Humidifier
$13.95

EMERSON Mens WINDUP WRIST WATCH 7J SWISS Red Seconds MILITARY Pioneer Lifeguard
EMERSON Mens WINDUP WRIST WATCH 7J SWISS Red Seconds MILITARY Pioneer Lifeguard
$5.00

RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS DRAGOON REGIMENT
RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS DRAGOON REGIMENT
$69.00

Pepper Spray - His & Hers (2) by Guard Dog / FREE pepper 4 life and Shipping
Pepper Spray - His & Hers (2) by Guard Dog / FREE pepper 4 life and Shipping
$7.93

SEXY LIFE GUARD on Duty 16x20 Poster
SEXY LIFE GUARD on Duty 16x20 Poster
$1.99

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

The Lifeguard (DVD, 2013) Free Shipping
The Lifeguard (DVD, 2013) Free Shipping
$3.99

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 Friends 41028 Emma's Lifeguard Post New
LEGO Friends 41028 Emma's Lifeguard Post New
$11.99

LEGO 41028 FRIENDS EMMA'S LIFEGUARD POST SET - NISB 94 pieces  DOLPHIN
LEGO 41028 FRIENDS EMMA'S LIFEGUARD POST SET - NISB 94 pieces DOLPHIN
$18.50

LIFEGUARD - NEW DVD
LIFEGUARD - NEW DVD
$17.20

26 Trolls Russ Berrie Ace ITB Burger King Doctor Lifeguard notepad Pin keychain+
26 Trolls Russ Berrie Ace ITB Burger King Doctor Lifeguard notepad Pin keychain+
$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

Star Wars Emperor's Royal Guard Full Scale Life Size Helmet Prop Replica + base
Star Wars Emperor's Royal Guard Full Scale Life Size Helmet Prop Replica + base
$283.70

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

1995 Baywatch #40 Sometimes the Baywatch Lifeguards
1995 Baywatch #40 Sometimes the Baywatch Lifeguards
$0.99

Pink On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 5 5S
Pink On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 5 5S
$6.46

Barbie outdoor beach set, lifeguard stand etc
Barbie outdoor beach set, lifeguard stand etc
$4.00

Lifeguard Visor - Red, White, Blue
Lifeguard Visor - Red, White, Blue
$8.95

LIFEGUARD Ladies Retro Shorts 6-16 Red Funny Printed Fancy Dress Costume
LIFEGUARD Ladies Retro Shorts 6-16 Red Funny Printed Fancy Dress Costume
$14.57

Lego Friends Emma's Lifeguard Post #41028 78 pc Ages 5-12 New
Lego Friends Emma's Lifeguard Post #41028 78 pc Ages 5-12 New
$9.99

SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear Mens Womens M medium NEW nwt
SPEEDO Xtralife Lycra LIFEGUARD bikini swimwear Mens Womens M medium NEW nwt
$10.49

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
$210.73

britains herald plastic toy soldiers standing lifeguard & mounted scottish 54mm
britains herald plastic toy soldiers standing lifeguard & mounted scottish 54mm
$25.99

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
$4.75

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

Vintage American RED CROSS Senior Life Saving LIFEGUARD Patch
Vintage American RED CROSS Senior Life Saving LIFEGUARD Patch
$5.80

RUSSIAN IMPERIAL BADGE OF LIFE GUARDS PAVLOVSKY REGIMENT
RUSSIAN IMPERIAL BADGE OF LIFE GUARDS PAVLOVSKY REGIMENT
$69.00

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

RUSSIAN IMPERIAL BADGE OF LIFE GUARDS ATAMAN REGIMENT
RUSSIAN IMPERIAL BADGE OF LIFE GUARDS ATAMAN REGIMENT
$69.00

Lifeguards (Community Helpers (Bridgestone Books))
Lifeguards (Community Helpers (Bridgestone Books))
$3.97

United States Coast Guard Patch USCG Life Savers
United States Coast Guard Patch USCG Life Savers
$3.95

VINTAGE PLAYGIRL AUGUST 2001! ASHTON KUTCHER! JACOB DYLAN! LIFEGUARDS! WET ISSUE
VINTAGE PLAYGIRL AUGUST 2001! ASHTON KUTCHER! JACOB DYLAN! LIFEGUARDS! WET ISSUE
$7.99

Patch BAYWATCH Lifeguard Life Guard
Patch BAYWATCH Lifeguard Life Guard
$9.99

Lifeguard Hat
Lifeguard Hat
$9.95

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

Lifeguards-Waving at the Astronauts (CD) Guided by voices
Lifeguards-Waving at the Astronauts (CD) Guided by voices
$3.00

Lifeguard Fanny Pack - Red
Lifeguard Fanny Pack - Red
$8.95

White Lifeguard T-Shirt
White Lifeguard T-Shirt
$4.95

Massed Band Household Cavalry - Life Guards, Blues Royals - Bandleader - BND1016
Massed Band Household Cavalry - Life Guards, Blues Royals - Bandleader - BND1016
$4.85

Lifeguard Spaghetti Strap Fitted (Red)- Womens
Lifeguard Spaghetti Strap Fitted (Red)- Womens
$13.95

WOMENS REEBOK CROSSFIT SHIRT PERFORMANCE ATHLETIC S SMALL GUARD YOUR LIFE NEW
WOMENS REEBOK CROSSFIT SHIRT PERFORMANCE ATHLETIC S SMALL GUARD YOUR LIFE NEW
$15.95

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

5x Clear LCD Screen Protector Guard Film Kyocera Hydro Icon C6730 / Life C6530N
5x Clear LCD Screen Protector Guard Film Kyocera Hydro Icon C6730 / Life C6530N
$2.78

Lifeguard On Beer Break Tin Sign Pool Bar Beach Humor
Lifeguard On Beer Break Tin Sign Pool Bar Beach Humor
$12.95

LIFEGUARD  MINE WALKS ON WATER CHRISTIAN JESUS CHRIST hoodie hoody  med.
LIFEGUARD MINE WALKS ON WATER CHRISTIAN JESUS CHRIST hoodie hoody med.
$17.00

VINTAGE MENS WYLER LIFE GUARD INCAFLEX WATCH 8170/5-1162 DYNAWIND W/DATE
VINTAGE MENS WYLER LIFE GUARD INCAFLEX WATCH 8170/5-1162 DYNAWIND W/DATE
$24.99

LIFE MAGAZINE JULY 29 1940 FEMALE LIFEGUARDS MANHATTAN
LIFE MAGAZINE JULY 29 1940 FEMALE LIFEGUARDS MANHATTAN
$9.99

Lego Series 12 Lifeguard Minifigure w/ Brochure & Bag 71007
Lego Series 12 Lifeguard Minifigure w/ Brochure & Bag 71007
$3.95

life guard lego figure
life guard lego figure
$4.00

2014 Matchbox #94 '43 Jeep® Willys SAFETY YELLOW/LIFE GUARD/MOC
2014 Matchbox #94 '43 Jeep® Willys SAFETY YELLOW/LIFE GUARD/MOC
$2.49

Britains hollow cast lead Life Guards mounted at walk from set #1
Britains hollow cast lead Life Guards mounted at walk from set #1
$16.50

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

NEW Bottle Starlight LIFEGuard Advanced Antioxidant Therapy Nutrient 60 Tablets
NEW Bottle Starlight LIFEGuard Advanced Antioxidant Therapy Nutrient 60 Tablets
$15.99

Lifeguard DVD 1976 Sam Elliot Anne Archer
Lifeguard DVD 1976 Sam Elliot Anne Archer
$16.82

ZF LIFEGUARD 5 Auto Transmission Fluid For BMW BENZ JAG Replaces ESSO LT71141
ZF LIFEGUARD 5 Auto Transmission Fluid For BMW BENZ JAG Replaces ESSO LT71141
$15.25

Junior Girl's Medium Large White Cotton LIFEGUARD Printed Shorts
Junior Girl's Medium Large White Cotton LIFEGUARD Printed Shorts
$0.99

(3 PACK) FOX 40 WHISTLE  (sports, referees, lifeguards, safety)
(3 PACK) FOX 40 WHISTLE (sports, referees, lifeguards, safety)
$9.90

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

I Can Be Lifeguard 2012 Barbie Doll
I Can Be Lifeguard 2012 Barbie Doll
$11.95

Life Guards in the Hamptons: A Willow Tate Novel
Life Guards in the Hamptons: A Willow Tate Novel
$3.97

The Lifeguard Store Red 53-1/2
The Lifeguard Store Red 53-1/2" Standard Swimming Rescue Tube*
$7.75

Fairy Tales Lifeguard Shampoo/Lemon-Aid Conditioner/ bonus repellent
Fairy Tales Lifeguard Shampoo/Lemon-Aid Conditioner/ bonus repellent
$14.99

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
$5.57

TOYOTA TACOMA LIFEGUARD ≈  Matchbox 2014 ≈ Case J
TOYOTA TACOMA LIFEGUARD ≈ Matchbox 2014 ≈ Case J
$2.00

OBEY GIANT Lifeguard Not On Duty Shepard Fairey Print xx/450 Poster
OBEY GIANT Lifeguard Not On Duty Shepard Fairey Print xx/450 Poster
$174.99

RARE SURF 45 - THE LIFE GUARDS - SWIMTIME U.S.A. / SWIM PARTY - JACK NITZSCHE
RARE SURF 45 - THE LIFE GUARDS - SWIMTIME U.S.A. / SWIM PARTY - JACK NITZSCHE
$9.99

Life Guards in the Hamptons: A Willow Tate Novel
Life Guards in the Hamptons: A Willow Tate Novel
$3.97

Next Free Shipping Baywatch Lifeguard TV Series Badge Patch embroidered 3.25
Next Free Shipping Baywatch Lifeguard TV Series Badge Patch embroidered 3.25"
$3.39

NO LIFEGUARD ON DUTY Metal SIGN for Beach Pool Lake Marina Chair Station
NO LIFEGUARD ON DUTY Metal SIGN for Beach Pool Lake Marina Chair Station
$9.19

PLAYSKOOL
PLAYSKOOL "Water pets" bear (lifeguard)
$9.00

Chas Stadden - Buckingham Pewter - The Life Guards Soldier Figure - Nice!
Chas Stadden - Buckingham Pewter - The Life Guards Soldier Figure - Nice!
$12.17

Russian Army Cossack Regiment Life Guards World War 1, 6x4
Russian Army Cossack Regiment Life Guards World War 1, 6x4" reprint photo
$3.23

RUSSIAN IMPERIAL ANNIVERSARY BADGE OF LIFE GUARDS KEXHOLM REGIMENT
RUSSIAN IMPERIAL ANNIVERSARY BADGE OF LIFE GUARDS KEXHOLM REGIMENT
$69.00

Vintage Revell Toy Soldiers 1/72 British Life Guard Complete With Box
Vintage Revell Toy Soldiers 1/72 British Life Guard Complete With Box
$9.00

Kauai Island Hawaii LIFEGUARD swim swimming beach shirt
Kauai Island Hawaii LIFEGUARD swim swimming beach shirt
$9.97

NIKE Womens Blue One Piece Racing Competition Lifeguard Swimsuit Sz 14 / 38
NIKE Womens Blue One Piece Racing Competition Lifeguard Swimsuit Sz 14 / 38
$7.17

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
$210.73

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
$20.65

The Lifeguard
The Lifeguard
$3.97

Mens Lifeguard Board Shorts
Mens Lifeguard Board Shorts
$16.95

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

Life Guards Victorian Officer’s Waist Belt Plate
Life Guards Victorian Officer’s Waist Belt Plate
$202.64

RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS IZMAILOVO REGIMENT
RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS IZMAILOVO REGIMENT
$69.00

Lifeguards (Community Helpers (Bridgestone Books))
Lifeguards (Community Helpers (Bridgestone Books))
$3.97

Breyer #3368, The Life Guards of the Queen's Household Calvary, Limited Edition
Breyer #3368, The Life Guards of the Queen's Household Calvary, Limited Edition
$50.00

LEGO LIFEGUARD GUY Series 12 Minifigures 71007 NEW SEALED UNOPENED #7
LEGO LIFEGUARD GUY Series 12 Minifigures 71007 NEW SEALED UNOPENED #7
$0.99

Tommy Bahama Life Guard Off Guard Save Yourself White T Shirt L / XL
Tommy Bahama Life Guard Off Guard Save Yourself White T Shirt L / XL
$15.99

LARGE BRIM STRAW LIFEGUARD SAFARI  FISHING SUN HAT WITH ELASTIC STRETCH FIT
LARGE BRIM STRAW LIFEGUARD SAFARI FISHING SUN HAT WITH ELASTIC STRETCH FIT
$11.77

Guitar Pick Guard Decal Vine of Life Decal /Sticker
Guitar Pick Guard Decal Vine of Life Decal /Sticker
$4.99

U.S. COAST GUARD THE SMOKIES OF THE SEA THE LIFE SAVERS PATCH BIG  4 1/2 X 4 1/2
U.S. COAST GUARD THE SMOKIES OF THE SEA THE LIFE SAVERS PATCH BIG 4 1/2 X 4 1/2
$4.98

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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