Life Guards

NEW SPEEDO LIFEGUARD ONE PIECE BLUE SWIMSUIT SIZE 10
NEW SPEEDO LIFEGUARD ONE PIECE BLUE SWIMSUIT SIZE 10
$11.00

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

Nwt Tyr Lifeguard Board Shorts Xsmall
Nwt Tyr Lifeguard Board Shorts Xsmall
$9.99

Los Angeles County Fire Department Life Guard Rescue Baseball Cap
Los Angeles County Fire Department Life Guard Rescue Baseball Cap
$29.09

Swimline 89870 18
Swimline 89870 18" Lifeguard Life Preserver Swimming Pool Foam Safety Ring Buoy
$27.99

SPEEDO Lifeguard Women's Size 8/34 swimsuit bathing suit one piece black blue
SPEEDO Lifeguard Women's Size 8/34 swimsuit bathing suit one piece black blue
$9.99

Lego Collectible Minifigures Series 12 (Lifeguard)
Lego Collectible Minifigures Series 12 (Lifeguard)
$1.50

Lifeguard Hat - Bucket (Red)
Lifeguard Hat - Bucket (Red)
$14.95

LAST ONE GARDEN STATUE PINK METAL FLAMINGO LAWN POOL SCULPTURE FLOWERS LIFEGUARD
LAST ONE GARDEN STATUE PINK METAL FLAMINGO LAWN POOL SCULPTURE FLOWERS LIFEGUARD
$19.95

Lifeguard Swimsuit Bathing Swim Suit Size 32 New With Tags Ladies Red
Lifeguard Swimsuit Bathing Swim Suit Size 32 New With Tags Ladies Red
$12.99

RAINBOW LIFEGUARD PENTAIR 300 AUTOMATIC CHLORINE BROMINE OFF-LINE FEEDER R171016
RAINBOW LIFEGUARD PENTAIR 300 AUTOMATIC CHLORINE BROMINE OFF-LINE FEEDER R171016
$62.50

MAO - Red Life Guard Swimsuit SZ 34 NWT, 1 piece, Swimming
MAO - Red Life Guard Swimsuit SZ 34 NWT, 1 piece, Swimming
$8.99

1920' BSA Boy Scouts Scout Life Guard Card & Pin
1920' BSA Boy Scouts Scout Life Guard Card & Pin
$9.99

O'Neill Sonoma Natural Straw Lifeguard Hat
O'Neill Sonoma Natural Straw Lifeguard Hat
$19.50

Lifeguard swimsuit
Lifeguard swimsuit
$4.75

Vintage Wood Sign Painted DO NOT TALK TO LIFE GUARD 14
Vintage Wood Sign Painted DO NOT TALK TO LIFE GUARD 14" x 16" swimming folk art
$39.99

Dive Team SAR Police Fire Lifeguard Challenge Coin San Diego Search A Rescue
Dive Team SAR Police Fire Lifeguard Challenge Coin San Diego Search A Rescue
$21.00

Nike Womens Size Small Lifeguard Swim Suit 32 Top Dolfin Shorts
Nike Womens Size Small Lifeguard Swim Suit 32 Top Dolfin Shorts
$18.50

Womens Mao Lifeguard 1pc Red Swimsuit Sz 34/Small, Womens Sz 7/8
Womens Mao Lifeguard 1pc Red Swimsuit Sz 34/Small, Womens Sz 7/8
$8.99

Lifeguard DVD 1976 Sam Elliot Anne Archer
Lifeguard DVD 1976 Sam Elliot Anne Archer
$16.60

California Brown Wide Brim Straw Summer Sun Lifeguard Hat w/Dark Brown Accents
California Brown Wide Brim Straw Summer Sun Lifeguard Hat w/Dark Brown Accents
$20.41

Brand New Lifeguard San Diego California Runner Shorts Red Medium 10 12 Summer
Brand New Lifeguard San Diego California Runner Shorts Red Medium 10 12 Summer
$4.67

Band of the Life Guards  by Albion
Band of the Life Guards by Albion
$140.00

Nike life guard adorable girls size 12 2 piece bathing suit...NWOT
Nike life guard adorable girls size 12 2 piece bathing suit...NWOT
$19.99

VINTAGE BRITAINS EYES RIGHT, 3 x mounted LIFE GUARDS in very good condition
VINTAGE BRITAINS EYES RIGHT, 3 x mounted LIFE GUARDS in very good condition
$15.59

Cavalry officer of the Life Guards.Sweden in 1807 White metal tin soldier 54 mm
Cavalry officer of the Life Guards.Sweden in 1807 White metal tin soldier 54 mm
$5.99

Lifeguard Cap Lifeguard Hat
Lifeguard Cap Lifeguard Hat
$9.95

Woman's Speedo Lifeguard Red Spandex Bikini Swimsuit Size 8
Woman's Speedo Lifeguard Red Spandex Bikini Swimsuit Size 8
$9.99

Woman's Speedo Lifeguard Royal Blue Spandex Bikini Swimsuit Size 8
Woman's Speedo Lifeguard Royal Blue Spandex Bikini Swimsuit Size 8
$9.99

WHITE LIFEGUARD T-SHIRT Small, Medium, Large, XL staff
WHITE LIFEGUARD T-SHIRT Small, Medium, Large, XL staff
$7.99

TONKA LIFE GUARD RED JEEP WITH RAFT,PARTS RESTORE DISPLAY,BUDDY L
TONKA LIFE GUARD RED JEEP WITH RAFT,PARTS RESTORE DISPLAY,BUDDY L
$22.00

WW1 1914-1918 SWEETHEART PINCUSHION
WW1 1914-1918 SWEETHEART PINCUSHION " 1st Life Guards"
$156.06

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

Fairlane Lifeguard Design Brochure
Fairlane Lifeguard Design Brochure
$0.99

Grey Iron American Family At Home B-11 Life Guard's Chair
Grey Iron American Family At Home B-11 Life Guard's Chair
$9.95

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

China Glaze Nail Polish I'm With the Lifeguard 1089 Bright Neon Green! New! HTF!
China Glaze Nail Polish I'm With the Lifeguard 1089 Bright Neon Green! New! HTF!
$1.69

Lot of 2 TYR Red Swimsuits Lifeguard Size 38 to 40  Fully Lined
Lot of 2 TYR Red Swimsuits Lifeguard Size 38 to 40 Fully Lined
$29.99

Lifeguard Whistle w/Lanyard
Lifeguard Whistle w/Lanyard
$3.95

Mattel Barbie Lifeguard Ken Baywatch 1994 New In Box
Mattel Barbie Lifeguard Ken Baywatch 1994 New In Box
$7.59

International Lifeguard Training Program by ELLIS & ASSOCIATES (2011,...
International Lifeguard Training Program by ELLIS & ASSOCIATES (2011,...
$0.99

Womens Lifeguard Swim Shorts - Red
Womens Lifeguard Swim Shorts - Red
$18.95

Tommy Bahama, Mens Swimwear, Trunks, Beach Wear, Size XXL, Lifeguard Red
Tommy Bahama, Mens Swimwear, Trunks, Beach Wear, Size XXL, Lifeguard Red
$2.99

Victorian Regimental Embossings inc Cameroon Highlanders, Life Guards, Dorset,
Victorian Regimental Embossings inc Cameroon Highlanders, Life Guards, Dorset,
$3.43

50
50" Vintage Beach Shack LIFEGUARD Bouy Float Life Preserver Nautical Decor
$39.49

Vintage Womans WYLER Lifeguard Dynawind Windup Watch With Date~M1-L87 *
Vintage Womans WYLER Lifeguard Dynawind Windup Watch With Date~M1-L87 *
$9.95

Lego Collectable Mini Figure Series 12 Brand New - Life Guard
Lego Collectable Mini Figure Series 12 Brand New - Life Guard
$0.99

6-Liters OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
6-Liters OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$139.88

Janie And Jack Boys Lifeguard Outfit 12-18 Month
Janie And Jack Boys Lifeguard Outfit 12-18 Month
$11.99

Johillco 54mm Lifeguards Ref. 410, Household Cavalry
Johillco 54mm Lifeguards Ref. 410, Household Cavalry
$25.00

Lifeguard Bikini
Lifeguard Bikini
$3.00

LifeGuard EPDM Pond Liner Underlayment Combo 15 x 15 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 15 x 15 45 mil Lifetime Warranty
$228.08

Vintage LIFEGUARD Tonka JEEP ORANGE WITH BOAT PRESSED STEEL USA TOY NICE
Vintage LIFEGUARD Tonka JEEP ORANGE WITH BOAT PRESSED STEEL USA TOY NICE
$39.00

Lego Lifeguard Girl
Lego Lifeguard Girl
$0.99

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

WYLER AUTOMATIC DYNAWIND DIVER WATCH LIFEGUARD
WYLER AUTOMATIC DYNAWIND DIVER WATCH LIFEGUARD
$29.00

2 LADIES SPEEDO SWIMSUITS PERFECT NEW CONDITION S 12 LIFE GUARD
2 LADIES SPEEDO SWIMSUITS PERFECT NEW CONDITION S 12 LIFE GUARD
$15.99

MILLER LITE BEER LIFEGUARD DISPLAY CHAIR SPRING BREAK FLORIDA BAR DECOR NEW
MILLER LITE BEER LIFEGUARD DISPLAY CHAIR SPRING BREAK FLORIDA BAR DECOR NEW
$99.97

WildFox Brand New Women's Shark Snack Lifeguard Vintage Lace Creamy Color Size S
WildFox Brand New Women's Shark Snack Lifeguard Vintage Lace Creamy Color Size S
$23.41

Military White Metal and Enamel  Brooch - The Life Guards
Military White Metal and Enamel Brooch - The Life Guards
$18.73

Fairy Tales Lifeguard Clarifying Shampoo 12 oz
Fairy Tales Lifeguard Clarifying Shampoo 12 oz
$11.10

VINTAGE 10
VINTAGE 10" WOODEN WHITE WASHED LIFE GUARD CHAIR DECOR WITH LIFE PERSERVERS
$7.95

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

LifeGuard EPDM Pond Liner Underlayment Combo 10 x 15 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 10 x 15 45 mil Lifetime Warranty
$152.06

ATLANTIC CITY LIFEGUARD BOAT RIDING THE WAVES-STEEL PIER-ORIGINAL 1959  PHOTO
ATLANTIC CITY LIFEGUARD BOAT RIDING THE WAVES-STEEL PIER-ORIGINAL 1959 PHOTO
$0.99

racor lifeguard
racor lifeguard
$49.00

NO LIFEGUARD ON DUTY Swim at Your Own  Risk  8
NO LIFEGUARD ON DUTY Swim at Your Own Risk 8" x12" Coroplast Sign b
$6.49

Britains ORIGINAL Conversion Mtd 1837 Life Guard Winter Cloak Neil Rhodes #3
Britains ORIGINAL Conversion Mtd 1837 Life Guard Winter Cloak Neil Rhodes #3
$19.95

Carrie LaChance Autographed 8X10 Photo COA Lifeguard Bikini #05452
Carrie LaChance Autographed 8X10 Photo COA Lifeguard Bikini #05452
$1.99

Polly Pocket Blonde Boy Doll With Clothing Items + Shoes and Lifeguard Buoy!
Polly Pocket Blonde Boy Doll With Clothing Items + Shoes and Lifeguard Buoy!
$12.99

Carrie LaChance Autographed 8X10 Photo COA Lifeguard Bikini #05454
Carrie LaChance Autographed 8X10 Photo COA Lifeguard Bikini #05454
$1.99

Ltd Stamp & 1994 Mattel Barbie Doll Lifeguard Baywatch TV Show NIB HP27
Ltd Stamp & 1994 Mattel Barbie Doll Lifeguard Baywatch TV Show NIB HP27
$9.95

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

Vineyard Vines Mens Cable Crewneck Sweater Large Lifeguard Red NWT Wool Cashmere
Vineyard Vines Mens Cable Crewneck Sweater Large Lifeguard Red NWT Wool Cashmere
$2.25

POLO RALPH LAUREN Classic Fit Cotton Crew Neck T-Shirt, Gray, Lifeguard, MEDIUM
POLO RALPH LAUREN Classic Fit Cotton Crew Neck T-Shirt, Gray, Lifeguard, MEDIUM
$14.50

MB - LifeGuard Rescue Hovercraft Boat - Diecast 1:64
MB - LifeGuard Rescue Hovercraft Boat - Diecast 1:64
$1.09

Lifeguard Swimsuit (Red) 2 Piece
Lifeguard Swimsuit (Red) 2 Piece
$19.95

Nike lifeguard Swimsuits
Nike lifeguard Swimsuits
$9.50

ROXY Womens
ROXY Womens "Newport Beach Junior Lifeguard" Boardshorts - 0
$3.95

Metal Lifeguard Sign, pointing arrow, beach, swimming, colorful collectible, @@
Metal Lifeguard Sign, pointing arrow, beach, swimming, colorful collectible, @@
$10.00

1968 United Feature Syndicate Inc. Original SNOOPY w/striped lifeguard outfit
1968 United Feature Syndicate Inc. Original SNOOPY w/striped lifeguard outfit
$12.99

VINTAGE STANLEY STEELMASTER
VINTAGE STANLEY STEELMASTER "LIFEGUARD YELLOW" 50 FT. TAPE MY50A Inches/Feet
$6.99

Lifeguard on Beer Break Metal Sign Plaque Funny Pool Beach Bar Swimming
Lifeguard on Beer Break Metal Sign Plaque Funny Pool Beach Bar Swimming
$14.03

Nike Nylon Core Solid Black Swim Bottoms / Life Guard Size 10 *MADE IN USA*
Nike Nylon Core Solid Black Swim Bottoms / Life Guard Size 10 *MADE IN USA*
$4.99

Britain's Scots Guard Color Guard, Life Guard, Beefeaters And More!
Britain's Scots Guard Color Guard, Life Guard, Beefeaters And More!
$25.00

BEACH CLOSED DUE TO SHARK Novelty Sign gift lifeguard theme kids room surfer new
BEACH CLOSED DUE TO SHARK Novelty Sign gift lifeguard theme kids room surfer new
$6.60

NIB NWT Polly Pocket Weekend Getaway 2004 by Mattel w/ Lifeguard Polly
NIB NWT Polly Pocket Weekend Getaway 2004 by Mattel w/ Lifeguard Polly
$4.99

Women's Speedo brand Lifeguard/competition one-peice bathing suit
Women's Speedo brand Lifeguard/competition one-peice bathing suit
$6.50

Barbie Fashions Clothes Outfit LIFEGUARD Hoodie Swim Suit Summer Fun Beach Visor
Barbie Fashions Clothes Outfit LIFEGUARD Hoodie Swim Suit Summer Fun Beach Visor
$7.99

TMNT Teenage Mutant Ninja Turtles Sewer Spitting Lifeguard Leo ~ Unpunched 1992
TMNT Teenage Mutant Ninja Turtles Sewer Spitting Lifeguard Leo ~ Unpunched 1992
$14.95

NWT PETER GRIMM JAWS STRAW STYLE LIFEGUARD SUN HAT CAP ONE SIZE
NWT PETER GRIMM JAWS STRAW STYLE LIFEGUARD SUN HAT CAP ONE SIZE
$6.99

Men's LIFEGUARD Performance Active Board Short Swim Suit
Men's LIFEGUARD Performance Active Board Short Swim Suit
$19.99

VINTAGE 1910 CREW OF NAUSETT STATION EASTHAM MASSACHUSETTS LIFEGUARD OLD PHOTO
VINTAGE 1910 CREW OF NAUSETT STATION EASTHAM MASSACHUSETTS LIFEGUARD OLD PHOTO
$24.99

METAL TYPE TOY SOLDIER.(1778 WASHINGTON'S LIFE GUARD.
METAL TYPE TOY SOLDIER.(1778 WASHINGTON'S LIFE GUARD.
$6.00

LEGO Friends 41028 Emma's Lifeguard Post ( legos building for girls )
LEGO Friends 41028 Emma's Lifeguard Post ( legos building for girls )
$14.92

NEW! ~ CHINA GLAZE Nail Polish ~ I'M WITH THE LIFEGUARD ~ A Neon Green S
NEW! ~ CHINA GLAZE Nail Polish ~ I'M WITH THE LIFEGUARD ~ A Neon Green S
$1.54

Lego 4644 Marina City: Paradise Cafe and Life Guard Station - Incomplete
Lego 4644 Marina City: Paradise Cafe and Life Guard Station - Incomplete
$14.95

SWIM AT YOUR OWN RISK LIFEGUARD ON BEER BREAK Novelty Sign gift gag funny beach
SWIM AT YOUR OWN RISK LIFEGUARD ON BEER BREAK Novelty Sign gift gag funny beach
$6.60

LEGO MINIFIGURES SERIES 2 (8684) THE
LEGO MINIFIGURES SERIES 2 (8684) THE "LIFEGUARD" ` FACTORY SEALED / RETIRED
$3.00

COLES VINTAGE SWAP CARD.
COLES VINTAGE SWAP CARD. "HM LIFEGUARDS". VGC.
$3.05

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.