Life Guards

4 Pack X2O Life Jacket Vest PFD S M L XL US Coast Guard Approved Blue
4 Pack X2O Life Jacket Vest PFD S M L XL US Coast Guard Approved Blue
$69.11

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

GI Joe / Action Man British Uniform Set Life Guard 40th Timeless Royal Guard
GI Joe / Action Man British Uniform Set Life Guard 40th Timeless Royal Guard
$99.00

 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

SPIDER MAN Childs Life  & Ski  Vest / Boating Jacket Coast Guard  Approved PFD
SPIDER MAN Childs Life & Ski Vest / Boating Jacket Coast Guard Approved PFD
$18.00

RUSH STRAW LIFE GUARD HAT WITH BLUE BANDANA & CHIN CORD
RUSH STRAW LIFE GUARD HAT WITH BLUE BANDANA & CHIN CORD
$18.95

Tonner Magic Attic Keisha life guard outfit with water shoes great cond
Tonner Magic Attic Keisha life guard outfit with water shoes great cond
$6.99

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

Lot of (4) Circ. 1910 Life Guard Rescue Training Atlantic City New Jersey RARE!!
Lot of (4) Circ. 1910 Life Guard Rescue Training Atlantic City New Jersey RARE!!
$7.95

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
$7.95

Adult Life Jacket Vest PFD Coast Guard Type III Universal Size Fits S M L XL NEW
Adult Life Jacket Vest PFD Coast Guard Type III Universal Size Fits S M L XL NEW
$21.99

VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
$30.06

BRITAINS TOY SOLDIERS - LIFE GUARDS - JOB LOT
BRITAINS TOY SOLDIERS - LIFE GUARDS - JOB LOT
$1.66

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

BRITAINS TOY SOLDIERS - LIFE GUARDS ON HORSEBACK + HIGHLANDER OFFICER - JOB LOT
BRITAINS TOY SOLDIERS - LIFE GUARDS ON HORSEBACK + HIGHLANDER OFFICER - JOB LOT
$8.40

mens - NIKE LIFE GUARD swim trunks - L - RED - BLACK - Pockets - Swimwear - Pool
mens - NIKE LIFE GUARD swim trunks - L - RED - BLACK - Pockets - Swimwear - Pool
$15.50

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

AUTHENTIC U.S. COAST GUARD EAGLE SIGNED LIFE PRESERVER-JIM BUOY 30
AUTHENTIC U.S. COAST GUARD EAGLE SIGNED LIFE PRESERVER-JIM BUOY 30" ISSUE # E-10
$69.00

DUCAL TRADITIONAL MILITARY FIGURES ~ DH5002 THE LIFE GUARDS DRUMMER
DUCAL TRADITIONAL MILITARY FIGURES ~ DH5002 THE LIFE GUARDS DRUMMER
$48.95

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
$19.99

Vintage Lead Mounted Soldiers By Britains & Similar Makes - Life Guards
Vintage Lead Mounted Soldiers By Britains & Similar Makes - Life Guards
$1.66

2-NEW WEST MARINE by SOSPENDERS U.S. COAST GUARD INFLATABLE OFFSHORE LIFE VEST
2-NEW WEST MARINE by SOSPENDERS U.S. COAST GUARD INFLATABLE OFFSHORE LIFE VEST
$125.00

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

VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
$16.78

VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
$16.78

STANLEY LIFE GUARD YELLOW 50 ft STEEL REEL MEASURING TAPE MYLAR CLAD
STANLEY LIFE GUARD YELLOW 50 ft STEEL REEL MEASURING TAPE MYLAR CLAD
$5.95

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

1/12 AIRFIX LIFE GUARD TRUMPETER - RARE - ORIGINAL BAG
1/12 AIRFIX LIFE GUARD TRUMPETER - RARE - ORIGINAL BAG
$4.38

Original: The 1st & 2nd Life Guards Regiment Cap Badge - George V
Original: The 1st & 2nd Life Guards Regiment Cap Badge - George V
$0.84

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
$24.99

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

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

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

VINEYARD VINES SWIM TRUNKS ~ XL ~ SOUTH BEACH ~ LIFEGUARDS ~ SURFERS ~ RARE!!!!!
VINEYARD VINES SWIM TRUNKS ~ XL ~ SOUTH BEACH ~ LIFEGUARDS ~ SURFERS ~ RARE!!!!!
$18.99

CHILD TYPE 1 PFD COMMERCIAL LIFE VEST KENT U.S.COAST GUARD APPROVED  90LBS NWT
CHILD TYPE 1 PFD COMMERCIAL LIFE VEST KENT U.S.COAST GUARD APPROVED 90LBS NWT
$9.99

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

MICH  RPPC Holland Michigan Macatawa Lifeguards ? Real Photo Postcard MI
MICH RPPC Holland Michigan Macatawa Lifeguards ? Real Photo Postcard MI
$9.99

Tonka 1968 2306 Life Guard Jeep  ***NICE***
Tonka 1968 2306 Life Guard Jeep ***NICE***
$8.50

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

BRITAINS #5195 LIFE GUARDS MOUNTED BAND LIMITED EDITION SET 1
BRITAINS #5195 LIFE GUARDS MOUNTED BAND LIMITED EDITION SET 1
$49.95

 VINTAGE * Hot Wheels * FIRE DEPT/LIFE GUARD/RESCUE TRUCK
VINTAGE * Hot Wheels * FIRE DEPT/LIFE GUARD/RESCUE TRUCK
$0.99

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

HO sports US Coast Guard Approved Youth Life Vest 50 to 90 lbs youth vest
HO sports US Coast Guard Approved Youth Life Vest 50 to 90 lbs youth vest
$9.99

Life Guard CPR Mask Adult and Infant
Life Guard CPR Mask Adult and Infant
$4.00

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

EUC WORN ONCE HELIUM AMP WOMENS LIFE VEST JACKET XL COAST GUARD APPROVED NEW
EUC WORN ONCE HELIUM AMP WOMENS LIFE VEST JACKET XL COAST GUARD APPROVED NEW
$19.99

Britains Life Guards Soldiers Set No.1 Mounted On Horseback in Box NMIB Beauty!
Britains Life Guards Soldiers Set No.1 Mounted On Horseback in Box NMIB Beauty!
$99.00

Dress of First Regiment of Life Guards Broughton 1925 Limited Leather Edition
Dress of First Regiment of Life Guards Broughton 1925 Limited Leather Edition
$100.00

EUC DBX YOUTH BOY OR GIRL LIFE VEST JACKET SIZE 50-90 LBS COAST GUARD APPROVED
EUC DBX YOUTH BOY OR GIRL LIFE VEST JACKET SIZE 50-90 LBS COAST GUARD APPROVED
$9.99

M & M LIFE GUARD CANDY DISPENSER
M & M LIFE GUARD CANDY DISPENSER
$2.99

SKI PRO LIFE JACKET/PFD- INFANT (UP TO 30 LBS)- COAST GUARD APPROVED
SKI PRO LIFE JACKET/PFD- INFANT (UP TO 30 LBS)- COAST GUARD APPROVED
$5.50

WW1 soldier Tpr Reginald P. Pakenham Life Guards & Guards Machine Gun Battalion
WW1 soldier Tpr Reginald P. Pakenham Life Guards & Guards Machine Gun Battalion
$25.19

British Army trio Life Guards Household  Division Horse  Brass Badge Insignia
British Army trio Life Guards Household Division Horse Brass Badge Insignia
$9.99

STERLING SILVER INGOT 23.4 GRS.
STERLING SILVER INGOT 23.4 GRS."THE LIFE GUARDS" UNITED KINGDOM 17/8"X11/4"X2MM
$9.99

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

Welsh Coldstream and Life Guards Uniform Shoulder Badges Patches
Welsh Coldstream and Life Guards Uniform Shoulder Badges Patches
$8.99

STEARNS Infant Life Jacket/Guard Up to 30 Ibs US Coast Guard Approve
STEARNS Infant Life Jacket/Guard Up to 30 Ibs US Coast Guard Approve
$21.99

Lifeguard Miami Beach Florida Life Guard Sweatshirt Red Hoodie Fashion Red White
Lifeguard Miami Beach Florida Life Guard Sweatshirt Red Hoodie Fashion Red White
$27.99

Albemarle series c 1890 ? Life Guard and 18th Hussar   (MARG )
Albemarle series c 1890 ? Life Guard and 18th Hussar (MARG )
$16.78

Aflac Life Guard Duck
Aflac Life Guard Duck
$2.99

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

Life Magazine December 14,1942 Coast Guard Skipper
Life Magazine December 14,1942 Coast Guard Skipper
$10.00

London Postcard With Stamp. W/ Life Guards Detachment 1967
London Postcard With Stamp. W/ Life Guards Detachment 1967
$0.25

VTG 1949 Sinclair Opaline Motor Oil Ad 4 Lifeguards Girl Opaline Protects 4 Ways
VTG 1949 Sinclair Opaline Motor Oil Ad 4 Lifeguards Girl Opaline Protects 4 Ways
$10.00

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

1960s Fm Field Marshal Life Guards Military Card Greeting Christmas Xmas
1960s Fm Field Marshal Life Guards Military Card Greeting Christmas Xmas
$2.52

1947 1948 Ford Sedan Mailer Brochure Life Guard Muscle Man Bridgeville DE wu1330
1947 1948 Ford Sedan Mailer Brochure Life Guard Muscle Man Bridgeville DE wu1330
$24.99

HANDSOME LIFE-GUARD carries TOPLESS MERMAID TO SAFETY ARCADE PHOTO souvenir
HANDSOME LIFE-GUARD carries TOPLESS MERMAID TO SAFETY ARCADE PHOTO souvenir
$9.99

5 X Clear Screen Protector Guard Film For Sony Ericsson Live with
5 X Clear Screen Protector Guard Film For Sony Ericsson Live with
$0.69

FISHER PRICE BARNEY MATTEL LIFE GUARD 11
FISHER PRICE BARNEY MATTEL LIFE GUARD 11" PLUSH toy animal
$10.24

Good Unused
Good Unused "Long Beach Life Guard" Patch California CA
$5.00

JW - OLD POSTER STAMP-RED CROSS-WASSERRETTUNG-LIFE GUARD WATER-SWIMMING
JW - OLD POSTER STAMP-RED CROSS-WASSERRETTUNG-LIFE GUARD WATER-SWIMMING
$4.99

WW1 1909 RUSSIAN IMPERIAL ARMY CZAR LIFE GUARDS LITHUANIAN REGIMENT PARADE HAT
WW1 1909 RUSSIAN IMPERIAL ARMY CZAR LIFE GUARDS LITHUANIAN REGIMENT PARADE HAT
$10,775.00

Britains Toy Soldiers - Commemorative 1st Life Guard - Floca Collection
Britains Toy Soldiers - Commemorative 1st Life Guard - Floca Collection
$25.00

CHILD SIZE SWIM LIFE JACKET -STEARNS CHILD WEIGHT 30-50 LBS -COAST GUARD APPROVE
CHILD SIZE SWIM LIFE JACKET -STEARNS CHILD WEIGHT 30-50 LBS -COAST GUARD APPROVE
$4.99

Britains Models Life Guards Mounted in Cloaks 9205 - Hand Painted in England
Britains Models Life Guards Mounted in Cloaks 9205 - Hand Painted in England
$19.99

VTG Playboy Magazine August '93 Jennifer Lavoie Dan Aykroyd Lady Lifeguards
VTG Playboy Magazine August '93 Jennifer Lavoie Dan Aykroyd Lady Lifeguards
$2.99

LEGO Coast Guard Helicopter & Life Raft (7738)
LEGO Coast Guard Helicopter & Life Raft (7738)
$39.99

Guard Shirt Custom Made With Your Name & # Beach Life Guard Large Red
Guard Shirt Custom Made With Your Name & # Beach Life Guard Large Red
$9.99

Great Britan 1st Life Guards Artist SigneD Postcard
Great Britan 1st Life Guards Artist SigneD Postcard
$7.50

Adult L/XL/XXL Basic Life Jacket Vest PFD US Coast Guard Type III Approved New
Adult L/XL/XXL Basic Life Jacket Vest PFD US Coast Guard Type III Approved New
$13.78

1953 Jr. Life Guard Long Beach Resort Panama City Beach FL Vintage Postcard L3
1953 Jr. Life Guard Long Beach Resort Panama City Beach FL Vintage Postcard L3
$3.45

Lot of 100 Ultra Pro Life Magazine Bags and 100 Image Guard Boards Brand New
Lot of 100 Ultra Pro Life Magazine Bags and 100 Image Guard Boards Brand New
$38.95

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

Blenheim Mounted Lifeguards w Kettle Drum toy soldier
Blenheim Mounted Lifeguards w Kettle Drum toy soldier
$74.99

Adult L/XL/XXL Basic Life Jacket Vest PFD US Coast Guard Type III Approved New
Adult L/XL/XXL Basic Life Jacket Vest PFD US Coast Guard Type III Approved New
$18.78

William Hocker Set#101 1st Life Guards
William Hocker Set#101 1st Life Guards
$104.99

Esci Napoleonic Russian Grenadiers, Revell Aztecs, AirFix Lifeguards
Esci Napoleonic Russian Grenadiers, Revell Aztecs, AirFix Lifeguards
$15.00

KIDDER U.S. COAST GUARD APPROVED ( 30-50 lbs.) BOYS SWIM LIFE VEST NEW WITH TAGS
KIDDER U.S. COAST GUARD APPROVED ( 30-50 lbs.) BOYS SWIM LIFE VEST NEW WITH TAGS
$16.99

Juniors Hollister T Shirt Yellow Large Palm Trees Life Guard Stand  EUC
Juniors Hollister T Shirt Yellow Large Palm Trees Life Guard Stand EUC
$3.99

The Finals Small? Bikini Top Life Guard Navy Blue (24
The Finals Small? Bikini Top Life Guard Navy Blue (24")
$0.99

Guard Trunks Red Life guard Shorts Size Small Lined Made in U.S.A
Guard Trunks Red Life guard Shorts Size Small Lined Made in U.S.A
$14.99

STEARNS SPIDERMAN LIFE JACKET US COAST GUARD APPROVAL CHILD 30-50LBS
STEARNS SPIDERMAN LIFE JACKET US COAST GUARD APPROVAL CHILD 30-50LBS
$9.99

VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
VINTAGE BRITAINS EYES RIGHT, plastic, 3 MOUNTED LIFE GUARD BANDSMEN,in vgc
$16.78

Pontiac highland long life duraflex splash guards lifetime guarantee one pair
Pontiac highland long life duraflex splash guards lifetime guarantee one pair
$10.00

WW1 FIRST 1ST LIFE GUARDS SWEETHEART BROOCH BADGE (MEDAL)
WW1 FIRST 1ST LIFE GUARDS SWEETHEART BROOCH BADGE (MEDAL)
$6.72

Gymboree Life Guard infant/toddler boys bucket hat NWT size 12-24 months
Gymboree Life Guard infant/toddler boys bucket hat NWT size 12-24 months
$8.00

US COAST GUARD Life Saving MEDAL Cased Act of 1949
US COAST GUARD Life Saving MEDAL Cased Act of 1949
$139.00

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

BODY GLOVE, INFANT (Under 30 LB) LIFE JACKET, Baby Water VEST, COAST GUARD APPVD
BODY GLOVE, INFANT (Under 30 LB) LIFE JACKET, Baby Water VEST, COAST GUARD APPVD
$20.99

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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