Life Guards

N635 25 1970'S 35MM NEGATIVES...SURFERS SURFING,LIFEGUARDS,LADIES,SAN DIEGO,CAL
N635 25 1970'S 35MM NEGATIVES...SURFERS SURFING,LIFEGUARDS,LADIES,SAN DIEGO,CAL
$15.00

Adult Life Jacket Vest PFD Coast Guard Type III Fully Enclosed 2XL 3X XXL 3XL
Adult Life Jacket Vest PFD Coast Guard Type III Fully Enclosed 2XL 3X XXL 3XL
$18.78

N637 20 1970'S 35MM NEGATIVES...SURFING,LIFEGUARDS,SWIMSUIT LADIES,SAN DIEGO,CAL
N637 20 1970'S 35MM NEGATIVES...SURFING,LIFEGUARDS,SWIMSUIT LADIES,SAN DIEGO,CAL
$15.00

N638 20 1970'S 35MM NEGATIVES...SURFER GIRLS,BEACH,LIFEGUARDS,SAN DIEGO
N638 20 1970'S 35MM NEGATIVES...SURFER GIRLS,BEACH,LIFEGUARDS,SAN DIEGO
$15.00

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

British Army Life Guards Household  Division Horse  Brass Badge Insignia
British Army Life Guards Household Division Horse Brass Badge Insignia
$19.99

DECEMBER 1942 LIFE MAGAZINE BACK ISSUE WORLD WAR II & COAST GUARD STORIES
DECEMBER 1942 LIFE MAGAZINE BACK ISSUE WORLD WAR II & COAST GUARD STORIES
$5.99

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
$5.69

JW -OLD POSTER STAMP-RED CROSS-LIFE GUARD SWIMMING-PLAVAT NEUTONESI
JW -OLD POSTER STAMP-RED CROSS-LIFE GUARD SWIMMING-PLAVAT NEUTONESI
$4.99

DURGA UMA DEVI PARVATI KALI HINDU GODDESS DEITY LIFE GUARD AMULET INDIA PENDANT
DURGA UMA DEVI PARVATI KALI HINDU GODDESS DEITY LIFE GUARD AMULET INDIA PENDANT
$17.99

O'Neill Mens Superlite Life Vest Nylon US Coast Guard Approved Lifejacket
O'Neill Mens Superlite Life Vest Nylon US Coast Guard Approved Lifejacket
$39.95

Type II Orange Life Jacket Vest PFD - 4 Adult vest - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - 4 Adult vest - Coast Guard Approved
$35.50

STANLEY LIFE GUARD YELLOW 50 ft STEEL REEL MEASURING TAPE MYLAR CLAD
STANLEY LIFE GUARD YELLOW 50 ft STEEL REEL MEASURING TAPE MYLAR CLAD
$9.99

X20 Adult Universal Life Jacket Vest PFD | US Coast Guard Approved Type III Ski
X20 Adult Universal Life Jacket Vest PFD | US Coast Guard Approved Type III Ski
$19.54

A7 VINTAGE STG SILVER CHARM LIFE GUARD SOLDIER
A7 VINTAGE STG SILVER CHARM LIFE GUARD SOLDIER
$5.02

Army Household Cavalry White leather Breeches Life Horse Guards Ceremonial
Army Household Cavalry White leather Breeches Life Horse Guards Ceremonial
$68.79

U.S. Coast Guard Rescue Swimmer So Others May Live Challenge Coin NEW
U.S. Coast Guard Rescue Swimmer So Others May Live Challenge Coin NEW
$10.84

N62 VINTAGE STG SILVER CHARM LIFE GUARD
N62 VINTAGE STG SILVER CHARM LIFE GUARD
$5.02

J.R. GAUNT VINTAGE AUTO CAR BADGE EMBLEM THE LIFE GUARD BRITISH ARMY MILITARY
J.R. GAUNT VINTAGE AUTO CAR BADGE EMBLEM THE LIFE GUARD BRITISH ARMY MILITARY
$84.95

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

29 plastic Life Guards, Scot Guards - Britains, Crescent, Lone Star Kelloggs
29 plastic Life Guards, Scot Guards - Britains, Crescent, Lone Star Kelloggs
$1.66

Single Playing Card Vintage English Nam
Single Playing Card Vintage English Nam "Life Guards on Parade" LI-1-1 A
$1.00

5 Type Heavy Duty Hybrid Rugged Hard Case Cover For iPhone 5C C w/ Screen Guard
5 Type Heavy Duty Hybrid Rugged Hard Case Cover For iPhone 5C C w/ Screen Guard
$6.79

Single Playing Card Vintage English Named
Single Playing Card Vintage English Named "The Life Guards on Parade" LI-2-1 A
$1.00

ANTIQUE OCEAN CITY N.J. ENAMELED LIFE GUARD BADGE SCREW BACK
ANTIQUE OCEAN CITY N.J. ENAMELED LIFE GUARD BADGE SCREW BACK
$9.99

Vintage Boy Scout B.S.A. Life Guard Patch
Vintage Boy Scout B.S.A. Life Guard Patch
$10.00

4 Pack X2O Life Jacket Vest PFD S M L XL US Coast Guard Approved Red
4 Pack X2O Life Jacket Vest PFD S M L XL US Coast Guard Approved Red
$82.11

NEW Nike Chlorine Resistant Bikini Life Guard Swimsuit size 34 / women's 8 NWT
NEW Nike Chlorine Resistant Bikini Life Guard Swimsuit size 34 / women's 8 NWT
$39.99

1968 OLD Tonka Life Guard Jeep
1968 OLD Tonka Life Guard Jeep
$8.00

O'Brien Dual Pro Big Mens Nylon Life Vest Blue 4XL USCG Coast Guard Life Jacket
O'Brien Dual Pro Big Mens Nylon Life Vest Blue 4XL USCG Coast Guard Life Jacket
$29.99

N651 15 1970'S 35MM NEGATIVES..LIFEGUARDS TALKING TO SWIMSUIT BEAUTIES,SAN DIEGO
N651 15 1970'S 35MM NEGATIVES..LIFEGUARDS TALKING TO SWIMSUIT BEAUTIES,SAN DIEGO
$9.99

Life Jacket 30
Life Jacket 30" to 52" chest by Maui and Sons. Coast Guard approved
$5.00

LEGO 8684 Life Guard Collectible Minifigures Series 2 Bay Watch Pamela SEALED
LEGO 8684 Life Guard Collectible Minifigures Series 2 Bay Watch Pamela SEALED
$5.75

A9 VINTAGE STG SILVER CHARM LIFE GUARD
A9 VINTAGE STG SILVER CHARM LIFE GUARD
$5.35

BRITAINS BOXED SET 1 1st LIFEGUARDS POST-WAR (c1953)
BRITAINS BOXED SET 1 1st LIFEGUARDS POST-WAR (c1953)
$29.36

River2Sea Live Bait,
River2Sea Live Bait, "Bottom Walker W/Weed Guard 150" (New)
$9.49

Sweden army 24 buttons for swedish life guard regiment uniforms ?
Sweden army 24 buttons for swedish life guard regiment uniforms ?
$20.00

Imperial Russian Badge of the Life-Guards St. Peterbursky Regiment for officers
Imperial Russian Badge of the Life-Guards St. Peterbursky Regiment for officers
$1,000.00

O'Neill Womens Superlite Life Vest Nylon US Coast Guard Approved Lifejacket
O'Neill Womens Superlite Life Vest Nylon US Coast Guard Approved Lifejacket
$39.95

1943 Erie, Pa~Life Guard Lookout~Peninsula Park~Standard Postcard~P164
1943 Erie, Pa~Life Guard Lookout~Peninsula Park~Standard Postcard~P164
$0.99

BOY SCOUT OF AMERICA 1960's SCOUT LIFE GUARD PATCH
BOY SCOUT OF AMERICA 1960's SCOUT LIFE GUARD PATCH
$9.99

U.S. Coast Guard Vintage Life Ring Raft Militia Nautical
U.S. Coast Guard Vintage Life Ring Raft Militia Nautical
$115.00

1912 Issued RARE SILVER 1874 U.S. Military Coast Guard Life Saving Medal
1912 Issued RARE SILVER 1874 U.S. Military Coast Guard Life Saving Medal
$393.00

Gymboree Life Guard on Duty Collection Shorts and Tank Size 5T Boys
Gymboree Life Guard on Duty Collection Shorts and Tank Size 5T Boys
$4.99

NEW GYMBOREE boys swimming shorts shirts size 4 5 7 8 10 summer beach NWT
NEW GYMBOREE boys swimming shorts shirts size 4 5 7 8 10 summer beach NWT
$8.99

Life Guard BAY WATCH bathing swim suit red water safety spandex size L lifeguard
Life Guard BAY WATCH bathing swim suit red water safety spandex size L lifeguard
$14.99

1/12 AIRFIX LIFE GUARD TRUMPETER - RARE - ORIGINAL BAG
1/12 AIRFIX LIFE GUARD TRUMPETER - RARE - ORIGINAL BAG
$3.99

Coast Guard Life Is Good Vintage Metal Art Rustic Retro Tin Sign
Coast Guard Life Is Good Vintage Metal Art Rustic Retro Tin Sign
$22.99

STEARNS SPIDERMAN LIFE JACKET US COAST GUARD APPROVAL CHILD 30-50LBS
STEARNS SPIDERMAN LIFE JACKET US COAST GUARD APPROVAL CHILD 30-50LBS
$7.50

HO Sports Infant Type II Life Vest Coast Guard Approved Fits Infants 0-30lbs
HO Sports Infant Type II Life Vest Coast Guard Approved Fits Infants 0-30lbs
$13.99

2nd Regiment of Life Guards Cap Badge
2nd Regiment of Life Guards Cap Badge
$7.55

River2Sea Live Bait,
River2Sea Live Bait, "Bottom Walker with Weed Guard 150" (New/Old Stock)
$9.99

California San Diego Mission Bay Park Beach Life Guard 1985 Continental Postcard
California San Diego Mission Bay Park Beach Life Guard 1985 Continental Postcard
$2.95

Photo 1919 Snapshot  Hardie's Bathing Casino 2 Pretty Lifeguards Miami FL
Photo 1919 Snapshot Hardie's Bathing Casino 2 Pretty Lifeguards Miami FL
$4.99

New 3 Pack Crystal Clear Film Guard Screen Protector for BLU Life View L110
New 3 Pack Crystal Clear Film Guard Screen Protector for BLU Life View L110
$3.99

 VINTAGE ART postcard of  HORSE & LIFEGUARDS on duty LONDON W H SWEET
VINTAGE ART postcard of HORSE & LIFEGUARDS on duty LONDON W H SWEET
$1.66

- SNOOPY life guard on duty t-shirt youth med
- SNOOPY life guard on duty t-shirt youth med
$7.00

U.S. Coast Guard / Million Lives Saved - USCG Brass Challenge Coin
U.S. Coast Guard / Million Lives Saved - USCG Brass Challenge Coin
$10.79

1934 Coney Island New York Lifeguards Get Life Ropes & Examine Poles Press Photo
1934 Coney Island New York Lifeguards Get Life Ropes & Examine Poles Press Photo
$24.99

NWT THE CHILDREN'S PLACE Boys (4 Toddler)
NWT THE CHILDREN'S PLACE Boys (4 Toddler) "Life Guard on Duty" T-Shirt
$2.99

1910 TOBACCO CIGARETTE T79 Military Series Private Sultans Life Guards TURKEY
1910 TOBACCO CIGARETTE T79 Military Series Private Sultans Life Guards TURKEY
$4.00

1909 T81 Recruit Cigars Military Series Die Cut Officer of Life Guards England V
1909 T81 Recruit Cigars Military Series Die Cut Officer of Life Guards England V
$4.00

Baby Boy's Cabana Life Shark swim shirt rash guard 3 6
Baby Boy's Cabana Life Shark swim shirt rash guard 3 6
$4.99

Green ReSound/Interton HF3 Wax Filter (Cerumen Guard) Free Ship, Versa, Live,Dot
Green ReSound/Interton HF3 Wax Filter (Cerumen Guard) Free Ship, Versa, Live,Dot
$7.95

Patrick Stirling GUTHRIE Eton CDV c1910  WW1 Lt. 1st Life Guards France College
Patrick Stirling GUTHRIE Eton CDV c1910 WW1 Lt. 1st Life Guards France College
$4.87

BRITISH ARMY KING GEORGE V THE LIFE GUARDS REGIMENT CAP BADGE
BRITISH ARMY KING GEORGE V THE LIFE GUARDS REGIMENT CAP BADGE
$10.05

Disney D-Tech Animal Kingdom Tree of Life Clip Case & Guard for iPhone 5/5S
Disney D-Tech Animal Kingdom Tree of Life Clip Case & Guard for iPhone 5/5S
$20.95

BRITAINS #8030 LIFE GUARD  MOUNTED FIGURE
BRITAINS #8030 LIFE GUARD MOUNTED FIGURE
$9.95

Old Post Card Comic Life Guard Save My Life Again Tomorrow Circulated 1940s
Old Post Card Comic Life Guard Save My Life Again Tomorrow Circulated 1940s
$7.50

Denmark 1400-01a Royal Life Guards VF MNH Complete Set with S/S
Denmark 1400-01a Royal Life Guards VF MNH Complete Set with S/S
$5.20

POLO RALPH LAUREN RINCON LIFE GUARD  VEST Sz XL Rugby
POLO RALPH LAUREN RINCON LIFE GUARD VEST Sz XL Rugby
$59.00

Threaded Tactical Trigger Guard for 556 223 Engraved - Live Free or Die
Threaded Tactical Trigger Guard for 556 223 Engraved - Live Free or Die
$19.95

LIFE GUARD LIFEGUARD BEACH PATROL OCEAN SAFETY REEF SWIMMING TEE MENS TANK TOP
LIFE GUARD LIFEGUARD BEACH PATROL OCEAN SAFETY REEF SWIMMING TEE MENS TANK TOP
$12.99

Tonka 1960' life guard jeep
Tonka 1960' life guard jeep
$25.00

REAL PHOTO 1949 3 ATLANTIC CITY BEACH PATROL LIFEGUARDS NJ Boardwalk men shore
REAL PHOTO 1949 3 ATLANTIC CITY BEACH PATROL LIFEGUARDS NJ Boardwalk men shore
$7.45

AIRFIX LIFE GUARD TRUMPETER 7 inch model kit - TYPE 1 header card - MIB
AIRFIX LIFE GUARD TRUMPETER 7 inch model kit - TYPE 1 header card - MIB
$18.58

2 Guard Dog  Pepper Spray - His & Hers / FREE pepper 4 life
2 Guard Dog Pepper Spray - His & Hers / FREE pepper 4 life
$7.12

LIFE-LIKE HO scale slot race cars NATIONAL GUARD #88 Army #01 STOCK MONTE CARLO
LIFE-LIKE HO scale slot race cars NATIONAL GUARD #88 Army #01 STOCK MONTE CARLO
$15.95

Goodyear Lifeguards Coin/Token, VINTAGE! Lifeguard Safety Legion Motoring Safety
Goodyear Lifeguards Coin/Token, VINTAGE! Lifeguard Safety Legion Motoring Safety
$7.99

Life Guard Boat Crews, Ten Numbered Life Boats, Ocean City NJ 1935
Life Guard Boat Crews, Ten Numbered Life Boats, Ocean City NJ 1935
$6.95

RARE Gee You're a Life Saver Vintage Pin Button Pinback 1930's-40s Metal Guard
RARE Gee You're a Life Saver Vintage Pin Button Pinback 1930's-40s Metal Guard
$8.88

LOT OF LIFE LIKE RACING TRACK PIECES SUPPORTS GUARD RAILS Over 60 pc
LOT OF LIFE LIKE RACING TRACK PIECES SUPPORTS GUARD RAILS Over 60 pc
$17.99

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

MILITARY WWI THE HOUSEHOLD BATTALION 1ST LIFE GUARDS CAP or UNIFORM BADGE
MILITARY WWI THE HOUSEHOLD BATTALION 1ST LIFE GUARDS CAP or UNIFORM BADGE
$25.15

LIFE GUARD LIFEGUARD BEACH PATROL OCEAN SAFETY REEF SWIMMING TEE MENS TANK TOP
LIFE GUARD LIFEGUARD BEACH PATROL OCEAN SAFETY REEF SWIMMING TEE MENS TANK TOP
$5.99

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
$23.99

The Life Guards Cap Badge WWII Original Maker Marked
The Life Guards Cap Badge WWII Original Maker Marked
$7.99

N53 VINTAGE STG SILVER CHARM QUEENS LIFE GUARD
N53 VINTAGE STG SILVER CHARM QUEENS LIFE GUARD
$5.02

Cabana Life Bathing Suit BottomSwim Shirt/rash Guard-5,6,6X,7-50+UV protection
Cabana Life Bathing Suit BottomSwim Shirt/rash Guard-5,6,6X,7-50+UV protection
$24.99

1949 Press Photo Lifeguards manned paddles on journey to reach distress swimmer
1949 Press Photo Lifeguards manned paddles on journey to reach distress swimmer
$9.99

New with Tags Tyr Red Life Guard Swimsuit Tankini Female Womens Swimsuit TMGU1A
New with Tags Tyr Red Life Guard Swimsuit Tankini Female Womens Swimsuit TMGU1A
$40.00

WDW iPHONE 5 CLIP CASE & GUARD - ONE SHOE CAN CHANGE YOUR LIFE DISNEY PRINCESSES
WDW iPHONE 5 CLIP CASE & GUARD - ONE SHOE CAN CHANGE YOUR LIFE DISNEY PRINCESSES
$18.79

BRITAINS #8032 BUCKINGHAM PALACE LIFE GUARD STANDARD BEARER
BRITAINS #8032 BUCKINGHAM PALACE LIFE GUARD STANDARD BEARER
$9.95

Britains Toy Soldiers – Band of the Life Guards – 00157
Britains Toy Soldiers – Band of the Life Guards – 00157
$44.99

*Postcard-
*Postcard-"Cocoa Beach Lifeguards" -1960's- *Florida's Space Coast
$5.99

BIKINI SQUAD Busty JULIE STRAIN Raunchy BAYWATCH Style LIFEGUARDS Sex Comedy DVD
BIKINI SQUAD Busty JULIE STRAIN Raunchy BAYWATCH Style LIFEGUARDS Sex Comedy DVD
$9.95

LIFE GUARD 4pairs(4colors)=1pack women intype girl made in KOREA SOCKS[US001]
LIFE GUARD 4pairs(4colors)=1pack women intype girl made in KOREA SOCKS[US001]
$5.90

NWT BOYS GYMBOREE SUNGLASSES U PICK!!
NWT BOYS GYMBOREE SUNGLASSES U PICK!!
$7.99

TC041 JP SAMURAI SWORD GUARD STILL LIFE MOUSE TSUBA
TC041 JP SAMURAI SWORD GUARD STILL LIFE MOUSE TSUBA
$29.99

2 FRED FLINTSTONE PLASTIC TOY FIGURES  1993 SANTA CLAUSE AND LIFE GUARD
2 FRED FLINTSTONE PLASTIC TOY FIGURES 1993 SANTA CLAUSE AND LIFE GUARD
$7.50

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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