Life Guards

3 Pack Hardcore Adult Life Jacket PFD Type III Coast Guard Ski Vest Neon Yellow
3 Pack Hardcore Adult Life Jacket PFD Type III Coast Guard Ski Vest Neon Yellow
$49.99

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

Revell 1:72 #02578 Napoleonic British Life Guards (35 Figures, 34 Horses)
Revell 1:72 #02578 Napoleonic British Life Guards (35 Figures, 34 Horses)
$9.00

Twenty Five (25) Fox 40 Classic Whistles  Officiating/Coaching Lifeguard Safety.
Twenty Five (25) Fox 40 Classic Whistles Officiating/Coaching Lifeguard Safety.
$47.95

Quiksilver Men's Madness Straw Lifeguard Hat - Red
Quiksilver Men's Madness Straw Lifeguard Hat - Red
$16.99

Victoria's Secret Pink Sweatshirt Lifeguard Longsleeved So Cute!!! Medium
Victoria's Secret Pink Sweatshirt Lifeguard Longsleeved So Cute!!! Medium
$15.50

RAINBOW LIFEGUARD PENTAIR 300 AUTOMATIC CHLORINE BROMINE OFF-LINE FEEDER R171016
RAINBOW LIFEGUARD PENTAIR 300 AUTOMATIC CHLORINE BROMINE OFF-LINE FEEDER R171016
$6.00

4 Pack Hardcore Adult Life Jacket PFD Type III Coast Guard Ski Vest Neon Yellow
4 Pack Hardcore Adult Life Jacket PFD Type III Coast Guard Ski Vest Neon Yellow
$79.99

Womens Clubswim Red One Piece Lifeguard Athletic Swimsuit Bra sz 34
Womens Clubswim Red One Piece Lifeguard Athletic Swimsuit Bra sz 34
$4.99

74 Various Military, Lifeguard, and Police Patches
74 Various Military, Lifeguard, and Police Patches
$15.50

Life Jacket Vest Adult PFD Type III Fully Enclosed US Coast Guard Approved SAFE!
Life Jacket Vest Adult PFD Type III Fully Enclosed US Coast Guard Approved SAFE!
$33.57

Vintage Birdwell Beach Britches LIFEGUARD Red Swim Trunks Baggies Boardshorts 29
Vintage Birdwell Beach Britches LIFEGUARD Red Swim Trunks Baggies Boardshorts 29
$19.99

VINTAGE 1971 LIFEGUARD BUBBLING BOY IN FOUNTAIN CLASSIC FIGURE ORNAMENT NEW
VINTAGE 1971 LIFEGUARD BUBBLING BOY IN FOUNTAIN CLASSIC FIGURE ORNAMENT NEW
$5.00

Kyser Lifeguard 6 or 12 String Acoustic Guitar Humidifier
Kyser Lifeguard 6 or 12 String Acoustic Guitar Humidifier
$12.65

❤ Victoria's Secret S
❤ Victoria's Secret S "LOVE PINK LIFEGUARD " VS Shorts Running Yoga Green Blue
$7.99

2 Pc. Kellys Kids Pirate's Life Swim Suit & Rash Guard Shirt 2013 Beach sz. 3/4
2 Pc. Kellys Kids Pirate's Life Swim Suit & Rash Guard Shirt 2013 Beach sz. 3/4
$16.50

RAINBOW LIFEGUARD PENTAIR 300 AUTOMATIC CHLORINE BROMINE OFF-LINE FEEDER R171016
RAINBOW LIFEGUARD PENTAIR 300 AUTOMATIC CHLORINE BROMINE OFF-LINE FEEDER R171016
$59.56

CARTER'S Lot of 2 short sleeve graphic tees beach lifeguard sharks 18 months VGC
CARTER'S Lot of 2 short sleeve graphic tees beach lifeguard sharks 18 months VGC
$1.50

BAYWATCH LIFEGUARD TRAINING PLAYSET ~Pamela Anderson C.J. Parker Doll ~  NIB
BAYWATCH LIFEGUARD TRAINING PLAYSET ~Pamela Anderson C.J. Parker Doll ~ NIB
$9.99

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$10.13

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$0.79

 Men's Baywatch Real LA Lifeguard Shorts
Men's Baywatch Real LA Lifeguard Shorts
$40.00

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

Vintage Tonka Fire Jeep w/ Life Guard Decals
Vintage Tonka Fire Jeep w/ Life Guard Decals
$30.00

Vintage Orange Tonka Life Guard Jeep w/ Raft
Vintage Orange Tonka Life Guard Jeep w/ Raft
$44.00

Vintage 18K HGE Daytona Beach Florida Lifeguard Men's Ring SIZE 12 Very Rare
Vintage 18K HGE Daytona Beach Florida Lifeguard Men's Ring SIZE 12 Very Rare
$0.75

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

Cabana Life Boys Swim Shorts & Rash Guard 50+UPF Protection size 4T
Cabana Life Boys Swim Shorts & Rash Guard 50+UPF Protection size 4T
$7.99

Cabana Life Boys Swim Shorts & Rash Guard 50+UPF Protection Size 4
Cabana Life Boys Swim Shorts & Rash Guard 50+UPF Protection Size 4
$7.99

OEM ZF Lifeguard 6  Automatic Transmission Fluid    S671090255
OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$25.40

Cabana Life Boys Swim Shorts & Rash Guard 50+ UPF Sun Protection Size 5
Cabana Life Boys Swim Shorts & Rash Guard 50+ UPF Sun Protection Size 5
$7.99

New Cabana Life Boys Bathing Suit & Rash Guard Size 3T
New Cabana Life Boys Bathing Suit & Rash Guard Size 3T
$7.99

American Red Cross Lifeguard Manual
American Red Cross Lifeguard Manual
$11.99

n 224 militay series-kinney tobacco- capt. 2d life guards (red) england-graded
n 224 militay series-kinney tobacco- capt. 2d life guards (red) england-graded
$30.00

1910 T79 Military Series Tolstoi Cigarettes Austrian Life-Guard SGC 60 EX
1910 T79 Military Series Tolstoi Cigarettes Austrian Life-Guard SGC 60 EX
$3.00

Mens Lifeguard Swimsuit
Mens Lifeguard Swimsuit
$19.95

Life Guard women's sports gloves hiking cycle LM34-1108W
Life Guard women's sports gloves hiking cycle LM34-1108W
$5.00

Lifeguard Fannie Pack -2 Pack Sold Together
Lifeguard Fannie Pack -2 Pack Sold Together
$3.99

Red Speedo Life Guard Swim Suit TOP  ~ Sz- 12
Red Speedo Life Guard Swim Suit TOP ~ Sz- 12
$12.00

Vintage c.1940s Photo NEGATIVE: 2 LIFEGUARDS, Shirtless Male Physique, Gay Int.
Vintage c.1940s Photo NEGATIVE: 2 LIFEGUARDS, Shirtless Male Physique, Gay Int.
$6.99

Life Guard women's sports gloves hiking cycle LM34-1106W
Life Guard women's sports gloves hiking cycle LM34-1106W
$5.50

Coast Guard Approved Life Ring
Coast Guard Approved Life Ring
$45.00

Lifeguard Cape Cod official Hoodie girls Small White
Lifeguard Cape Cod official Hoodie girls Small White
$0.99

NWOT WILDFOX Sail On Cozy Raglan in Lifeguard $77 Large SOLD OUT
NWOT WILDFOX Sail On Cozy Raglan in Lifeguard $77 Large SOLD OUT
$55.00

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

PAIR OF VINTAGE MILITARY ENAMELLED LIFE GUARDS CUFFLINKS
PAIR OF VINTAGE MILITARY ENAMELLED LIFE GUARDS CUFFLINKS
$8.18

EUC Little Mermaid Child Life Jacket (30-50 lbs) Coast Guard approved
EUC Little Mermaid Child Life Jacket (30-50 lbs) Coast Guard approved
$5.00

PS-Guard Dog 3in1 Pepper Spray/CS Tear Gas /UV Dye/ FREE ship and Pepper 4 life
PS-Guard Dog 3in1 Pepper Spray/CS Tear Gas /UV Dye/ FREE ship and Pepper 4 life
$5.79

D.F.Grieve Models 100mm- British Trooper, 1st Life Guards, Waterloo, 1815
D.F.Grieve Models 100mm- British Trooper, 1st Life Guards, Waterloo, 1815
$59.95

EUC Infant Life Jacket (under 30 lbs) Coast Guard approved
EUC Infant Life Jacket (under 30 lbs) Coast Guard approved
$5.00

SWIM AT YOUR OWN RISK LIFEGUARD ON BEER BREAK Pool Beach Life Guard Sign NEW
SWIM AT YOUR OWN RISK LIFEGUARD ON BEER BREAK Pool Beach Life Guard Sign NEW
$9.95

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

Ten (10) Fox 40 Classic Whistles  Officiating/Coaching Lifeguard Safety.
Ten (10) Fox 40 Classic Whistles Officiating/Coaching Lifeguard Safety.
$14.95

Lifeguard Speedo Visor - Red
Lifeguard Speedo Visor - Red
$2.00

Brand New Genuine China Glaze Nail Polish PACK 1  Lacquer Choose Color Popular
Brand New Genuine China Glaze Nail Polish PACK 1 Lacquer Choose Color Popular
$3.49

Lot of 2 Burt's Bees Lifeguard's Choice Weatherproofing Lip Balm for Sun
Lot of 2 Burt's Bees Lifeguard's Choice Weatherproofing Lip Balm for Sun
$35.00

Baywatch TV Series Lifeguard Sticker/Decal
Baywatch TV Series Lifeguard Sticker/Decal
$3.50

Lifeguard Straw Hat-L/XL #388
Lifeguard Straw Hat-L/XL #388
$9.99

SPEEDO Women's Red One Piece Swim Suit with LIFEGUARD Logo on front Size 6/32
SPEEDO Women's Red One Piece Swim Suit with LIFEGUARD Logo on front Size 6/32
$4.99

VINTAGE LIFEGUARD SEARCH AND RESCUE WOOD SURF SKIM BOOGIE BOARD SKIMBOARD WOODEN
VINTAGE LIFEGUARD SEARCH AND RESCUE WOOD SURF SKIM BOOGIE BOARD SKIMBOARD WOODEN
$49.95

Hardcore Adult XXL/3XL Life Jacket Fully Enclosed Coast Guard PFD Ski Vest
Hardcore Adult XXL/3XL Life Jacket Fully Enclosed Coast Guard PFD Ski Vest
$25.95

VENICE BEACH Life Guard Station TWILIGHT ➨ OCEAN FRAME SURF PLEIN AIR Antonyuk
VENICE BEACH Life Guard Station TWILIGHT ➨ OCEAN FRAME SURF PLEIN AIR Antonyuk
$48.01

Foggy Day Life Guard Station VENICE BEACH ➨ OCEAN FRAME SURF PLEIN AIR Antonyuk
Foggy Day Life Guard Station VENICE BEACH ➨ OCEAN FRAME SURF PLEIN AIR Antonyuk
$48.01

 New Lifeguard White Red Tank Top Shirt Tshirt
New Lifeguard White Red Tank Top Shirt Tshirt
$12.00

Life Jacket Girl's Youth, Coleman Multi-color, Coast Guard Approved, M# 5970-104
Life Jacket Girl's Youth, Coleman Multi-color, Coast Guard Approved, M# 5970-104
$13.00

Lifeguard t shirt
Lifeguard t shirt
$1.50

6-Liters OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
6-Liters OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$139.99

Pamela Anderson C.J. Parker Baywatch Ocean Lifeguard Poseable Fashion Doll NRFB
Pamela Anderson C.J. Parker Baywatch Ocean Lifeguard Poseable Fashion Doll NRFB
$13.99

Vintage ORIGINAL PHOTO Boy Lad Young Men Life Guard Swimwear Male Physique 1950
Vintage ORIGINAL PHOTO Boy Lad Young Men Life Guard Swimwear Male Physique 1950
$14.86

NEW DECKY Paper Straw Lifeguard Cowboy Hat Hats One Size Mens Womens Beach
NEW DECKY Paper Straw Lifeguard Cowboy Hat Hats One Size Mens Womens Beach
$9.99

Gun Guard Black Hard Plastic Rifle Case 52
Gun Guard Black Hard Plastic Rifle Case 52" x 14" 3D Wild Life Design on Side (4
$29.99

Speedo, Lifeguard Series, Bathing suit Bottoms, Navy Blue And White, Small
Speedo, Lifeguard Series, Bathing suit Bottoms, Navy Blue And White, Small
$2.99

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
$2.88

RARE VINTAGE WYLER LIFEGUARD RAILROAD APPROVED AUTOMATIC 17JEWEL MENS WRISTWATCH
RARE VINTAGE WYLER LIFEGUARD RAILROAD APPROVED AUTOMATIC 17JEWEL MENS WRISTWATCH
$76.00

HOT WHEELS LIFEGUARD JEEP CJ10 CJ 5 6 7 10 BOAT TRAILER SURF BOARD SET 1/64
HOT WHEELS LIFEGUARD JEEP CJ10 CJ 5 6 7 10 BOAT TRAILER SURF BOARD SET 1/64
$9.99

WW1 GM TROOPERS BUTTON - 1ST LIFE GUARDS.
WW1 GM TROOPERS BUTTON - 1ST LIFE GUARDS.
$7.42

Kyser Lifeguard Humidifier System For Classical Guitars, KLHC
Kyser Lifeguard Humidifier System For Classical Guitars, KLHC
$13.89

SPEEDO NEW Lifeguard Womens 12 Swim Tankini Navy Solid Stretch Sale CHOP 5RAHza1
SPEEDO NEW Lifeguard Womens 12 Swim Tankini Navy Solid Stretch Sale CHOP 5RAHza1
$4.99

Rare Vintage Red Cross Life Guard Service Award Sterling Pinback Hartford Conn
Rare Vintage Red Cross Life Guard Service Award Sterling Pinback Hartford Conn
$9.99

LEGO® 8684 Minifigure Series 2 YOU PICK character SAME DAY ship
LEGO® 8684 Minifigure Series 2 YOU PICK character SAME DAY ship
$5.49

Men's Reebok CrossFit CF74 T-Shirt / Medium / 100% cotton / Lifeguard theme
Men's Reebok CrossFit CF74 T-Shirt / Medium / 100% cotton / Lifeguard theme
$9.95

Stearns Near-shore Infant Life Vest; Unisex;Up To 30lbs;US Coast Guard Approved
Stearns Near-shore Infant Life Vest; Unisex;Up To 30lbs;US Coast Guard Approved
$6.99

Cropped lifeguard sweatshirt Santa cruz,CA
Cropped lifeguard sweatshirt Santa cruz,CA
$14.00

Atlantic City Beach Patrol Captain Badge Vintage ACBP Lifeguard NJ
Atlantic City Beach Patrol Captain Badge Vintage ACBP Lifeguard NJ
$68.95

Atlantic City Beach Patrol Life Guard Badge #136 Vintage ACBP Lifeguard NJ
Atlantic City Beach Patrol Life Guard Badge #136 Vintage ACBP Lifeguard NJ
$68.95

Lifeguard on Beer Break TIN SIGN funny vtg metal pool beach bar no swimming OHW
Lifeguard on Beer Break TIN SIGN funny vtg metal pool beach bar no swimming OHW
$11.78

NWT POLO RALPH LAUREN SUPER SOFT LIFEGUARD BEACH CLASSIC FIT POLO L MSRP $98
NWT POLO RALPH LAUREN SUPER SOFT LIFEGUARD BEACH CLASSIC FIT POLO L MSRP $98
$19.99

Stearns Coast Guard approved boating Flotation Life Jacket Men's 36-38 S M
Stearns Coast Guard approved boating Flotation Life Jacket Men's 36-38 S M
$32.99

Kyser Lifeguard Humidifier for Acoustic Guitars NEW
Kyser Lifeguard Humidifier for Acoustic Guitars NEW
$16.29

Britain Ceremonial Collection: Band of the Life Guards (5pcs) 1999
Britain Ceremonial Collection: Band of the Life Guards (5pcs) 1999
$29.99

LEGO City Coast Guard Helicopter & Life Raft Mint Sealed in Box #7738
LEGO City Coast Guard Helicopter & Life Raft Mint Sealed in Box #7738
$125.00

FOX 40 WHISTLE  (sports, referees, lifeguards, safety)
FOX 40 WHISTLE (sports, referees, lifeguards, safety)
$4.75

NOS Deadstock Vtg 80s XS S Belton LIFEGUARD Butter Soft 2-Sided Tank T Shirt
NOS Deadstock Vtg 80s XS S Belton LIFEGUARD Butter Soft 2-Sided Tank T Shirt
$0.99

Life-Like Nascar National Guard Amp Energy #88 Fast Tracker Chassis Running
Life-Like Nascar National Guard Amp Energy #88 Fast Tracker Chassis Running
$4.99

Lifeguard DVD Region ALL
Lifeguard DVD Region ALL
$16.87

Anita Waxing lifeguard Costume
Anita Waxing lifeguard Costume
$4.99

SeaChoice Infant/Toddler Life Jacket/Vest Coast Guard Approved, Up to 30 LBs
SeaChoice Infant/Toddler Life Jacket/Vest Coast Guard Approved, Up to 30 LBs
$3.99

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

2 SERIES 12 LEGO MINIFIGURES OF LIFEGUARD & GAMER GUY--PACKAGE FRESH
2 SERIES 12 LEGO MINIFIGURES OF LIFEGUARD & GAMER GUY--PACKAGE FRESH
$0.99

tin beer sign 16
tin beer sign 16" X10" "swim at your own risk, lifeguard on beer break"
$5.99

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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