Life Guards

LEGO Minifigures Series 2 Life Guard NEW 1 Removed from packet
LEGO Minifigures Series 2 Life Guard NEW 1 Removed from packet
$3.01

BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
$168.00

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

Hear! Rockabilly Bill Haley 45 The Lifeguards - Everybody Out Of The Pool / Teen
Hear! Rockabilly Bill Haley 45 The Lifeguards - Everybody Out Of The Pool / Teen
$9.99

RUSSIAN IMPERIAL BADGE
RUSSIAN IMPERIAL BADGE "3RD INFANTRY REGIMENT OF THE LIFE GUARDS" COPY
$49.99

Vinylmation cutesters life guard girl
Vinylmation cutesters life guard girl
$3.00

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
$17.50

RUSSIAN IMPERIAL BADGE
RUSSIAN IMPERIAL BADGE "SIGN OF THE LIFE GUARDS GRENADIER REGIMENT" COPY
$39.99

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$1.44

Pokemon Cards Life Dew and Rock Guard Plasma Freeze MINT Holo Rares
Pokemon Cards Life Dew and Rock Guard Plasma Freeze MINT Holo Rares
$5.00

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

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
$15.50

Britains William Britain Limited Edition Series 5184 Life Guards Mounted RARE
Britains William Britain Limited Edition Series 5184 Life Guards Mounted RARE
$49.99

Del Prado - SNC005 - Officer, British 1st Life Guards, 1815
Del Prado - SNC005 - Officer, British 1st Life Guards, 1815
$19.99

TOY SOLDIERS BRITAINS BOX EYES RIGHT CAVALRY QUEENS LIFE GUARD 1/32 DEETAIL 54mm
TOY SOLDIERS BRITAINS BOX EYES RIGHT CAVALRY QUEENS LIFE GUARD 1/32 DEETAIL 54mm
$49.99

Britains Toy Soldiers 00157 Band Of The Life Guards Ceremonial Collection
Britains Toy Soldiers 00157 Band Of The Life Guards Ceremonial Collection
$29.95

Band Of Life Guards - Soldiers Of The Queen - DJM - DJSLM2030 - 1976   (LP)
Band Of Life Guards - Soldiers Of The Queen - DJM - DJSLM2030 - 1976 (LP)
$6.77

Britains Toy Soldier No 7218 Her Majesty Queen Elizabeth Life Guards Trumpeter
Britains Toy Soldier No 7218 Her Majesty Queen Elizabeth Life Guards Trumpeter
$35.00

Britains Archive 1st Life Guard Officer Anniversary Piece
Britains Archive 1st Life Guard Officer Anniversary Piece
$21.99

Youths Long Life Chest Guard Size 1 CH.L
Youths Long Life Chest Guard Size 1 CH.L
$6.75

 Nike Life guard uniform women
Nike Life guard uniform women
$10.00

CHILD LIFE VEST Stearns Splash Zone  30-50 lbs Orange US COAST GUARD APPROVED
CHILD LIFE VEST Stearns Splash Zone 30-50 lbs Orange US COAST GUARD APPROVED
$9.50

WW1 THE LIFE GUARDS CAP BADGE EVIIIR CAP BADGE BRASS KC
WW1 THE LIFE GUARDS CAP BADGE EVIIIR CAP BADGE BRASS KC
$11.88

Britains Toy Soldiers Footguards and Lifeguards # 179s in box 6 + 2 on Horse
Britains Toy Soldiers Footguards and Lifeguards # 179s in box 6 + 2 on Horse
$9.99

Lot 32 Postcards~COAST GUARD & LIFE-SAVING STATIONS~MUSEUMS~LIGHTSHIPS
Lot 32 Postcards~COAST GUARD & LIFE-SAVING STATIONS~MUSEUMS~LIGHTSHIPS
$13.00

LEGO City set 7738 Coast Guard Helicopter and Life Raft (2008)
LEGO City set 7738 Coast Guard Helicopter and Life Raft (2008)
$22.49

The Household Cavalry / Life Guards Embroidered Officer's QC Cap Badge
The Household Cavalry / Life Guards Embroidered Officer's QC Cap Badge
$25.00

Small Vintage Stanley Pocket Tape Measure 6 Feet Life Guard Yellow MYT6
Small Vintage Stanley Pocket Tape Measure 6 Feet Life Guard Yellow MYT6
$8.99

US Coast Guard Motor Life Rescue Boat USCG Lightship Columbia Astoria Oregon
US Coast Guard Motor Life Rescue Boat USCG Lightship Columbia Astoria Oregon
$2.49

BRITISH ARMY FIRST 1ST LIFE GUARDS CAP BADGE CAVALRY
BRITISH ARMY FIRST 1ST LIFE GUARDS CAP BADGE CAVALRY
$8.95

Disney
Disney "A Bug's Life" Flik room guard figure
$8.00

VINTAGE AIRFIX KIT - NAPOLOENIC - BRITISH LIFE GUARD - WATERLOO - 1/32nd  - MB
VINTAGE AIRFIX KIT - NAPOLOENIC - BRITISH LIFE GUARD - WATERLOO - 1/32nd - MB
$8.47

Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
$3.90

Ladie's life guard bathing suit
Ladie's life guard bathing suit
$15.99

Speedo Infant Life-Jacket Purple Floral Design Coast Guard Approved
Speedo Infant Life-Jacket Purple Floral Design Coast Guard Approved
$19.99

Columbia Band American Republic March / Emperor's Life Guard Band
Columbia Band American Republic March / Emperor's Life Guard Band
$9.99

1958 Coast Guard Canvas Marine Nautical 31
1958 Coast Guard Canvas Marine Nautical 31" Diameter Life Saver Ring Preserver
$200.00

Vtg W Britain Lead Figure English Life Guard Soldier England Train Layout 1990
Vtg W Britain Lead Figure English Life Guard Soldier England Train Layout 1990
$7.99

BTS149 British Army Household Cavalry Lifeguards Corporal of Horse - Mounted
BTS149 British Army Household Cavalry Lifeguards Corporal of Horse - Mounted
$60.00

Ducal Traditional Military Figures Royal Life Guard Sweden Drumhorse RARE
Ducal Traditional Military Figures Royal Life Guard Sweden Drumhorse RARE
$29.99

S23 Bronze Caskets Americans Lost Lives World War II Guard Original Press Photo
S23 Bronze Caskets Americans Lost Lives World War II Guard Original Press Photo
$9.99

Youths Long Life Red Shin Guards Size S
Youths Long Life Red Shin Guards Size S
$3.00

Tommy Bahama Paradise Beach Lifeguards T-shirt.
Tommy Bahama Paradise Beach Lifeguards T-shirt.
$3.99

Wusthof Grand Prix II 8-Inch Chef's Knife #4575 With Knife-Life Blade Guard
Wusthof Grand Prix II 8-Inch Chef's Knife #4575 With Knife-Life Blade Guard
$59.99

BRITAINS 7226 TOY SOLDIERS 2 LIFEGUARDS 2 YEOMAN OF THE GUARD 2 SCOTS GUARDS
BRITAINS 7226 TOY SOLDIERS 2 LIFEGUARDS 2 YEOMAN OF THE GUARD 2 SCOTS GUARDS
$38.95

Life-Like Operating Dual Crossing Gate w/ Shanty Guard House NIB
Life-Like Operating Dual Crossing Gate w/ Shanty Guard House NIB
$49.99

Chas C. Stadden Lot 2 Pewter Figures Metropolitan Police  The Lifeguards England
Chas C. Stadden Lot 2 Pewter Figures Metropolitan Police The Lifeguards England
$9.99

British Legion Band,CD,Heritage of England,Light Infantry Band,Life Guards,Herit
British Legion Band,CD,Heritage of England,Light Infantry Band,Life Guards,Herit
$5.49

TRANSIT TICKET Pass Rochester New York July 5 1941 Learn to Swim Life Guard
TRANSIT TICKET Pass Rochester New York July 5 1941 Learn to Swim Life Guard
$4.99

NEW Womens TYR Sz Small LIFE GUARD Swimsuit Bathing Suit One Piece Tankini Top
NEW Womens TYR Sz Small LIFE GUARD Swimsuit Bathing Suit One Piece Tankini Top
$5.99

 MARX WARRIORS OF THE WORLD British Life Guard
MARX WARRIORS OF THE WORLD British Life Guard
$10.00

The Life Guards Postcard and Brief History - Set of 2
The Life Guards Postcard and Brief History - Set of 2
$17.49

 MARX 60mm  British Life Guard
MARX 60mm British Life Guard
$10.00

 MARX 60mm  British Life Guard
MARX 60mm British Life Guard
$10.00

The Life Guards Officer's Bronze Cap Badge - George VI, WW2 era
The Life Guards Officer's Bronze Cap Badge - George VI, WW2 era
$30.00

VINTAGE 50' STANLEY NO. 34-450 LIFE GUARD TAPE MEASURE RULE HAND CRANK TOOL
VINTAGE 50' STANLEY NO. 34-450 LIFE GUARD TAPE MEASURE RULE HAND CRANK TOOL
$3.95

Very Rare Danish Army Pocket Badge of Queen Margrethe the 2nd Royal Life Guards
Very Rare Danish Army Pocket Badge of Queen Margrethe the 2nd Royal Life Guards
$0.99

1 OLD VINTAGE GUARD LIFE SOLID BRONZE JIMMYPROOF  DEADLOCK
1 OLD VINTAGE GUARD LIFE SOLID BRONZE JIMMYPROOF DEADLOCK
$35.00

Britains,  set #43, Second Life Guards trumpeter, very early,soldiers, lead
Britains, set #43, Second Life Guards trumpeter, very early,soldiers, lead
$15.50

Life Jacket/Vest Disney Princess Type lll Coast Guard Approved 30-50 lbs VNC
Life Jacket/Vest Disney Princess Type lll Coast Guard Approved 30-50 lbs VNC
$13.99

Vintage Britains Toy Soldiers Set No 7228 Three Mounted Life Guards Excellent
Vintage Britains Toy Soldiers Set No 7228 Three Mounted Life Guards Excellent
$59.95

Playmobil Series 4 Figure/Fi?ure~Life-guard~Swimmer~Baywatch Girl~
Playmobil Series 4 Figure/Fi?ure~Life-guard~Swimmer~Baywatch Girl~
$2.49

StarGuard : Best Practices for Lifeguards by Jill E. White (2012, Paperback)
StarGuard : Best Practices for Lifeguards by Jill E. White (2012, Paperback)
$7.99

Britains Toy Soldiers 5184 British Soldiers Life Guards Limited Edition Set 1604
Britains Toy Soldiers 5184 British Soldiers Life Guards Limited Edition Set 1604
$129.00

Polly Pocket dolls life guard station
Polly Pocket dolls life guard station
$0.99

U.S. Army National Guard Medal
U.S. Army National Guard Medal "Army Life on the Mexican Border"
$120.00

1st Life Guards Changing Guard at Whitehall horse uniforms old postcard
1st Life Guards Changing Guard at Whitehall horse uniforms old postcard
$1.99

Frontline Figures FLF-IFG.1
Frontline Figures FLF-IFG.1 "1st Life Guards British Mounted" Single Mounted Fig
$29.00

Polly Pocket Life Guard Station
Polly Pocket Life Guard Station
$0.99

1st LIFE GUARDS Silk with descriptive backing SCARCE Singleton & Cole
1st LIFE GUARDS Silk with descriptive backing SCARCE Singleton & Cole
$8.91

Cherokee Boys Sweat Shorts Blue Life Guard Drawstring Adjustable
Cherokee Boys Sweat Shorts Blue Life Guard Drawstring Adjustable
$4.99

Frontline Figures FLF-IFG.1
Frontline Figures FLF-IFG.1 "1st Life Guards British Mounted" Single Mounted Fig
$29.99

GB WWI KGV Second Life Guards Cap Badge with Prongs King's Crown no makers mark
GB WWI KGV Second Life Guards Cap Badge with Prongs King's Crown no makers mark
$28.20

Frontline Figures FLF-IFG.8 1st Life Guards British Mounted. 54mm Matte Finish.
Frontline Figures FLF-IFG.8 1st Life Guards British Mounted. 54mm Matte Finish.
$29.99

Britains William Britain Limited Edition 5195 The Lifeguards Mounted band set 1
Britains William Britain Limited Edition 5195 The Lifeguards Mounted band set 1
$84.99

Life Guard  officially Licensed  Black Hoodie Naples FL Size XX Large
Life Guard officially Licensed Black Hoodie Naples FL Size XX Large
$15.00

Dresden 1st LIFE GUARD 11
Dresden 1st LIFE GUARD 11" figure - Great Condition
$375.00

Vintage Postcard   Life Guards on Beach   Atlantic City, New Jersey   1935
Vintage Postcard Life Guards on Beach Atlantic City, New Jersey 1935
$1.99

1968 Tonka Life Guard Toy Jeep Very Nicely Restored
1968 Tonka Life Guard Toy Jeep Very Nicely Restored
$49.99

British
British "Life Guards (1st and 2nd)" Cap Badge
$23.53

Boys Rash Guard Short Sleeve Swim Shirt Cabana Life Size 6-12 Months
Boys Rash Guard Short Sleeve Swim Shirt Cabana Life Size 6-12 Months
$2.99

TYR Life Guard Swimsuit - MEDIUM *LOOK* Cute
TYR Life Guard Swimsuit - MEDIUM *LOOK* Cute
$3.00

BTS151 British Army Household Cavalry Lifeguards Farrier - Mounted
BTS151 British Army Household Cavalry Lifeguards Farrier - Mounted
$60.00

LIFE-LIKE Slot car Transformer Controllers Power Track guard rails
LIFE-LIKE Slot car Transformer Controllers Power Track guard rails
$9.99

Britains, Life Guards,  set #1, soldier, England, early 1900's,non-articulated
Britains, Life Guards, set #1, soldier, England, early 1900's,non-articulated
$14.50

Women's Size Large DBX Life Preserver Jacket Coast Guard Approved Worn Once
Women's Size Large DBX Life Preserver Jacket Coast Guard Approved Worn Once
$28.95

Vintage Tree Of Life Pin / Brooch Chain Acorn Collar Guard Jewelry Gold Plated
Vintage Tree Of Life Pin / Brooch Chain Acorn Collar Guard Jewelry Gold Plated
$7.99

AN ANTIQUE MILITARY PRINT,
AN ANTIQUE MILITARY PRINT, "THE FIRST LIFE GUARDS" AFTER WILLIAM SMALL. NR
$13.56

BRITAINS 8104 LIFE GUARD TRUMPETER  METAL TOY SOLDIER
BRITAINS 8104 LIFE GUARD TRUMPETER METAL TOY SOLDIER
$22.95

1930's Life Guard Cigarettes Pack Label - Louisville, KY
1930's Life Guard Cigarettes Pack Label - Louisville, KY
$4.99

RARE Vtg 70s 80s Paper Thin Life Guard Best Boys Soft 50/50 Beach Swim T-shirt L
RARE Vtg 70s 80s Paper Thin Life Guard Best Boys Soft 50/50 Beach Swim T-shirt L
$19.99

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
$5.63

Life Jacket Waterski Vest Adult PFD Type III US Coast Guard Approved!
Life Jacket Waterski Vest Adult PFD Type III US Coast Guard Approved!
$14.99

Helium Coast Guard Approved Life Vest Large 38
Helium Coast Guard Approved Life Vest Large 38"-40" chest
$25.00

Marx reissue British LifeGuards 65mm (4) Out of Production
Marx reissue British LifeGuards 65mm (4) Out of Production
$15.00

LIFE Magazine, Jan 20, 1967: China's Red Guard; The Lion; Bernini Sculpture
LIFE Magazine, Jan 20, 1967: China's Red Guard; The Lion; Bernini Sculpture
$2.99

Doberman Pincher Dog Vintage Life Size Replica Hand Painted ~ Sitting on Guard
Doberman Pincher Dog Vintage Life Size Replica Hand Painted ~ Sitting on Guard
$300.00

W BRITAINS LIMITED EDITION CAT. NO. 5195 THE LIFE GUARDS MOUNTED BAND
W BRITAINS LIMITED EDITION CAT. NO. 5195 THE LIFE GUARDS MOUNTED BAND
$179.99

Breyer The Lifeguards Of The Queen's Household Cavalry
Breyer The Lifeguards Of The Queen's Household Cavalry
$30.00

4 ORIGINAL VICTORIAN 2ND LIFE GUARDS BUTTONS
4 ORIGINAL VICTORIAN 2ND LIFE GUARDS BUTTONS
$8.47

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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