Life Guards

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$1.11

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

1953(HILL CO)QUEEN ELIZABETH CORONATION PROCESSION(6 X MOUNTED LIFEGUARD)METAL
1953(HILL CO)QUEEN ELIZABETH CORONATION PROCESSION(6 X MOUNTED LIFEGUARD)METAL
$5.03

Lego 71007 Series 12 - LIFEGUARD -  Character - SEALED Never Opened!!
Lego 71007 Series 12 - LIFEGUARD - Character - SEALED Never Opened!!
$2.25

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 Lifeguard DVD
The Lifeguard DVD
$0.99

BRITAINS JOHILLCO TOY SOLDIERS LEAD BRITISH LIFEGUARDS, USMC OFF. WWII MEDIC
BRITAINS JOHILLCO TOY SOLDIERS LEAD BRITISH LIFEGUARDS, USMC OFF. WWII MEDIC
$8.75

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

Vintage Lifeguard Beach Towel
Vintage Lifeguard Beach Towel
$9.99

WW1 Period  3 Original Photograph Postcards 2nd LIFE GUARDS
WW1 Period 3 Original Photograph Postcards 2nd LIFE GUARDS
$15.71

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

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
$11.00

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

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

Britains 2035 Svea Lifeguard Sweden
Britains 2035 Svea Lifeguard Sweden
$51.23

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

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

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

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

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

OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
OPI Nail Polish .. HUGE ASSORTMENT OF COLORS .. Lacquer .5oz / 15 ml
$6.12

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

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

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$10.95

SANTA AND REINDEER LIFEGUARD CHRISTMAS INFLATABLE 6 Ft
SANTA AND REINDEER LIFEGUARD CHRISTMAS INFLATABLE 6 Ft
$9.99

TURKEY 1914, UNUSED PC SHOWING TURKISH LIFE - GUARDS. #1231
TURKEY 1914, UNUSED PC SHOWING TURKISH LIFE - GUARDS. #1231
$3.99

Russ Troll Lifeguard Doll Blue Hair
Russ Troll Lifeguard Doll Blue Hair
$2.95

Pass 1st Life Guards Reserve Regiment 3006 Tpr AW Singleton 1918-19 HorseGuards
Pass 1st Life Guards Reserve Regiment 3006 Tpr AW Singleton 1918-19 HorseGuards
$7.85

LEGO Lifeguard Minifigure Collectible Series Baywatch
LEGO Lifeguard Minifigure Collectible Series Baywatch
$0.99

Illinois, IL, Peoria, Camp Life of National Guards 1910 Postcard
Illinois, IL, Peoria, Camp Life of National Guards 1910 Postcard
$8.95

Britains set# 7226 lifeguards, yeoman of the guard and scots guards
Britains set# 7226 lifeguards, yeoman of the guard and scots guards
$18.00

Vintage Lead Toy Mounted Lifeguard with Cape Britains Johillco  C5
Vintage Lead Toy Mounted Lifeguard with Cape Britains Johillco C5
$3.99

SWIMMING POOL BEACH LIFEGUARD BOY MALE PERSONALIZED CHRISTMAS TREE ORNAMENT GIFT
SWIMMING POOL BEACH LIFEGUARD BOY MALE PERSONALIZED CHRISTMAS TREE ORNAMENT GIFT
$12.99

Vintage Britains Toy Soldiers -Set No. 43 2nd Life Guards - Floca Collection
Vintage Britains Toy Soldiers -Set No. 43 2nd Life Guards - Floca Collection
$240.00

Zenith AD3 vintage 6 inch lifeguard Orange Deep Sea Diver 1971 New in box
Zenith AD3 vintage 6 inch lifeguard Orange Deep Sea Diver 1971 New in box
$9.99

Vintage Pyro Sentinel Fire Detection Systems Guards Your Life 24 Hours A Day
Vintage Pyro Sentinel Fire Detection Systems Guards Your Life 24 Hours A Day
$3.99

Old JOHILLCO Lead, Life Guards, 5 Piece Boxed Set #S.101, 1930s Britains England
Old JOHILLCO Lead, Life Guards, 5 Piece Boxed Set #S.101, 1930s Britains England
$59.99

CHURCH PARADE 1st.LIFE GUARDS,WINDSOR...Post Card.Sent to Sparkhill,B,Ham
CHURCH PARADE 1st.LIFE GUARDS,WINDSOR...Post Card.Sent to Sparkhill,B,Ham
$5.03

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

SOVIET USSR Russian Badges OSVOD Lifeguard Organization Water Rescue Society
SOVIET USSR Russian Badges OSVOD Lifeguard Organization Water Rescue Society
$2.99

Breyer Horse Trad size Queen's Lifeguard Trakhener New in Box and very nice!
Breyer Horse Trad size Queen's Lifeguard Trakhener New in Box and very nice!
$75.00

LEGO SERIES 12 LIFEGUARD MINIFIG FIGURE *COMPLETE*
LEGO SERIES 12 LIFEGUARD MINIFIG FIGURE *COMPLETE*
$2.95

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

LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
LEGO Series 2 - LifeGuard Factory Sealed Minifigure - Mini figure 8 Baywatch CMF
$3.46

Lifeguard by James Patterson and Andrew Gross (2005, CD, Unabridged)
Lifeguard by James Patterson and Andrew Gross (2005, CD, Unabridged)
$4.99

Life Guard United States National Park Service Life Guard Dept of the Interior
Life Guard United States National Park Service Life Guard Dept of the Interior
$34.00

Liv
Liv "Life Guard" accessory set NEW IN PACKAGE
$5.95

SERIES 12 LEGO MINIFIGURES OF THE PIZZA DELIVERY GUY & LIFEGUARD--PACKAGE FRESH
SERIES 12 LEGO MINIFIGURES OF THE PIZZA DELIVERY GUY & LIFEGUARD--PACKAGE FRESH
$4.53

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

Summer 2008 Lifeguard Minnie Huey, Dewie, Louie LE 1000 Disney Pin!
Summer 2008 Lifeguard Minnie Huey, Dewie, Louie LE 1000 Disney Pin!
$1.00

Lego City Coast Guard Rescue Helicopter and Life Raft Model 7738
Lego City Coast Guard Rescue Helicopter and Life Raft Model 7738
$9.99

Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
Fox 40 Classic Whistle With Lanyard! Sports Official! Coach! Safety! Lifeguard!
$2.90

Apologia Lifeguard's Locker, PARENT GUIDE for Jump In, Watson
Apologia Lifeguard's Locker, PARENT GUIDE for Jump In, Watson
$2.99

BRITAINS TOY SOLDIERS VINTAGE LOT LIMITED EDITION # 5184 THE LIFE GUARDS
BRITAINS TOY SOLDIERS VINTAGE LOT LIMITED EDITION # 5184 THE LIFE GUARDS
$45.00

VINTAGE PLAYGIRL AUGUST 2001! ASHTON KUTCHER! JACOB DYLAN! LIFEGUARDS! WET ISSUE
VINTAGE PLAYGIRL AUGUST 2001! ASHTON KUTCHER! JACOB DYLAN! LIFEGUARDS! WET ISSUE
$8.99

frontline figures  British 1st life guards #4   napoleonic
frontline figures British 1st life guards #4 napoleonic
$32.00

frontline figures 1st life guard #2   waterloo   napoleonic
frontline figures 1st life guard #2 waterloo napoleonic
$32.00


"U.S.COAST GUARD", LIFE PRESERVER RING, BUOY
$140.00

GRENADIERS MINIATURES 1/9 Resin bust GMB1/903 Life guards Officer, waterloo 1815
GRENADIERS MINIATURES 1/9 Resin bust GMB1/903 Life guards Officer, waterloo 1815
$54.95

3 LIFEGUARD Tab Patches
3 LIFEGUARD Tab Patches
$2.00

Audiobook LifeGuard By James Patterson 7 CDs Beach Novel Sizzling Summer Thrill
Audiobook LifeGuard By James Patterson 7 CDs Beach Novel Sizzling Summer Thrill
$6.00

Vintage military badge enamel Life Guards 27mm 2100
Vintage military badge enamel Life Guards 27mm 2100
$1.64

THE LIFE GUARDS-DRESS & APPOINTMENTS 1660-1914-C.STADDEN-SIGNED COPY
THE LIFE GUARDS-DRESS & APPOINTMENTS 1660-1914-C.STADDEN-SIGNED COPY
$1.56

Stun Gun Streetwise Lady Life Guard 2,500,000 Pink Rechargeable w/LED Light
Stun Gun Streetwise Lady Life Guard 2,500,000 Pink Rechargeable w/LED Light
$13.95

BRITISH ARMY  HOUSEHOLD CAVALRY LIFE GUARDS BRASS POUCH BADGE INSIGNIA
BRITISH ARMY HOUSEHOLD CAVALRY LIFE GUARDS BRASS POUCH BADGE INSIGNIA
$18.08

BRITISH ARMY  HOUSEHOLD CAVALRY LIFE GUARDS BRASS  BADGE INSIGNIA
BRITISH ARMY HOUSEHOLD CAVALRY LIFE GUARDS BRASS BADGE INSIGNIA
$5.82

LIFEGUARD FEMALE BRUNETTE CHRISTMAS ORNAMENT
LIFEGUARD FEMALE BRUNETTE CHRISTMAS ORNAMENT
$14.00

Cufflinks Silver Shark Great White Beach Lifeguard Wedding Groom Usher ML072
Cufflinks Silver Shark Great White Beach Lifeguard Wedding Groom Usher ML072
$0.01

PLAYMOBIL JET-SKI WITH LIFEGUARD  -  leisure, beach, seaside.
PLAYMOBIL JET-SKI WITH LIFEGUARD - leisure, beach, seaside.
$1.56

(10) Guard Rails Life Like HO Slot Track Like-Like
(10) Guard Rails Life Like HO Slot Track Like-Like
$9.99

54MM PRO QUALITY PAINTED 1815 GREAT BRITIAN TROOPER 1ST LIFE GUARDS
54MM PRO QUALITY PAINTED 1815 GREAT BRITIAN TROOPER 1ST LIFE GUARDS
$69.99

2nd LIFE GUARDS,Cavalry Regiment,Brass Button, WW1 King George 5th crown..
2nd LIFE GUARDS,Cavalry Regiment,Brass Button, WW1 King George 5th crown..
$0.02

LEGO City
LEGO City "Coast Guard Helicopter & Life Raft" #7738 (100% Complete)
$5.50

Lifeguard DVD Region 1, NTSC
Lifeguard DVD Region 1, NTSC
$6.41

S & S Miniatures Foot Guard Life Guards Toy Soldiers Lot of 13 MIB British Made
S & S Miniatures Foot Guard Life Guards Toy Soldiers Lot of 13 MIB British Made
$40.55

LEGO Minifigures Series 12 Lifeguard #7 (71007)
LEGO Minifigures Series 12 Lifeguard #7 (71007)
$0.99

PLAYBOY MAGAZINE-August 1993 PAMELA ANDERSON cover Lifeguards Jennifer Lavoie
PLAYBOY MAGAZINE-August 1993 PAMELA ANDERSON cover Lifeguards Jennifer Lavoie
$1.75

Vintage Older Lifeguard Officer on Charging Mount Britains Johillco C17
Vintage Older Lifeguard Officer on Charging Mount Britains Johillco C17
$5.99

Stanley Life Guard No. 166LG Mason's Modular 6 Foot Folding Ruler USA
Stanley Life Guard No. 166LG Mason's Modular 6 Foot Folding Ruler USA
$4.50

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$11.99

BRITAINS BRITISH SOLDIERS LIFEGUARDS 1984 SPECIAL EDITION NO.0888 OF 7000
BRITAINS BRITISH SOLDIERS LIFEGUARDS 1984 SPECIAL EDITION NO.0888 OF 7000
$39.99

WM BRITAIN BAND OF THE LIFE GUARDS 8 PCE SET
WM BRITAIN BAND OF THE LIFE GUARDS 8 PCE SET
$65.50

LIFEGUARD TANK-TOP Tanktop Arched Image on front
LIFEGUARD TANK-TOP Tanktop Arched Image on front
$8.95

Nike Lifeguard Two Piece Swimsuit Size 32/6 Bikini Red
Nike Lifeguard Two Piece Swimsuit Size 32/6 Bikini Red
$24.99

Big Jim Lifeguard Outfit Vintage New,NIP,Mattel,GI Joe? Scuba Fins,Bouy,CHEAP!!
Big Jim Lifeguard Outfit Vintage New,NIP,Mattel,GI Joe? Scuba Fins,Bouy,CHEAP!!
$7.00

LEGO #8684 Mini figure Series 2 LIFEGUARD
LEGO #8684 Mini figure Series 2 LIFEGUARD
$4.99

Britians ROAN Boxed Set no. 2035 , 1949-1959 Sweden Svea Lifeguard Excellent
Britians ROAN Boxed Set no. 2035 , 1949-1959 Sweden Svea Lifeguard Excellent
$67.15

Britains Vintage 1953-1965 1st Band of Life Guards MOUNTED
Britains Vintage 1953-1965 1st Band of Life Guards MOUNTED
$169.15

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

Andrew Christian Black Life Guard Swim Brief Trunk Swimwear Bikini M HoT
Andrew Christian Black Life Guard Swim Brief Trunk Swimwear Bikini M HoT
$9.99

RACING CHAMPIONS 1999 FIRE & RESCUE USA #8 '97 FORD F-150 PICKUP LIFEGUARD MOC
RACING CHAMPIONS 1999 FIRE & RESCUE USA #8 '97 FORD F-150 PICKUP LIFEGUARD MOC
$2.49

LIFEGUARD MALE CHRISTMAS ORNAMENT M
LIFEGUARD MALE CHRISTMAS ORNAMENT M
$14.00

Lot of 9 Lego Minifigures Boy & Girl Surfers-Skater-Lifeguard Girl- Painter ++++
Lot of 9 Lego Minifigures Boy & Girl Surfers-Skater-Lifeguard Girl- Painter ++++
$9.99

Vintage handsome swimsuit men ocean city NJ beach lifeguard boat gay int
Vintage handsome swimsuit men ocean city NJ beach lifeguard boat gay int
$9.99

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

Lego City 30225 Coast Guard Sea Plane Polybag Life Jacket Minifigure FAST S
Lego City 30225 Coast Guard Sea Plane Polybag Life Jacket Minifigure FAST S
$0.99

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

Comments are closed.