Life Guards

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

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

3 OLD VINTAGE 1940`S PIN PINBACK BUTTONS ~ LIFE GUARD - PIN-UP BEAUTY
3 OLD VINTAGE 1940`S PIN PINBACK BUTTONS ~ LIFE GUARD - PIN-UP BEAUTY
$4.99

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
$69.11

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
$221.74

Wusthof Classic 3-Inch Paring #4000 With Knife-Life Blade Guard, Retail $70
Wusthof Classic 3-Inch Paring #4000 With Knife-Life Blade Guard, Retail $70
$19.99

Wusthof Classic 8-Inch Bread Knife #4150 With Knife-Life Blade Guard Retail $100
Wusthof Classic 8-Inch Bread Knife #4150 With Knife-Life Blade Guard Retail $100
$40.00

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

BRITAINS   - 6 pc set lot - VINTAGE PLASTIC hong kong - lifeguards horseguards
BRITAINS - 6 pc set lot - VINTAGE PLASTIC hong kong - lifeguards horseguards
$0.99

STEARNS YOUTH LIFE JACKET 50-90 LBS SKI VEST PDF COAST GUARD APPROVED PINK
STEARNS YOUTH LIFE JACKET 50-90 LBS SKI VEST PDF COAST GUARD APPROVED PINK
$3.00

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

WW1 ERA GM TUNIC BUTTON - 2ND LIFE GUARDS -KC.
WW1 ERA GM TUNIC BUTTON - 2ND LIFE GUARDS -KC.
$8.51

US Coast Guard Life Saving Service Officers Cap Badge Pre World War I
US Coast Guard Life Saving Service Officers Cap Badge Pre World War I
$52.02

Stearns Coast Guard Approved Child Boating Life Vest 30-50lbs, 14-23kg, EUC
Stearns Coast Guard Approved Child Boating Life Vest 30-50lbs, 14-23kg, EUC
$6.99

LEGO City set 7738 Coast Guard Helicopter and Life Raft
LEGO City set 7738 Coast Guard Helicopter and Life Raft
$21.50

No Life Guard on Duty Handcrafted Retro Metal Pool Safety Sign #V636
No Life Guard on Duty Handcrafted Retro Metal Pool Safety Sign #V636
$11.99

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
$221.74

Cabana Life Girls Rash Guard Set - Orange White - Size 4 - New Without Tags
Cabana Life Girls Rash Guard Set - Orange White - Size 4 - New Without Tags
$19.99

US Coast Guard Life Saving Service EM Collar Insignia Pre World War I
US Coast Guard Life Saving Service EM Collar Insignia Pre World War I
$51.16

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

Dewey Beach Lifeguards Delaware - postcard
Dewey Beach Lifeguards Delaware - postcard
$0.55

Vintage Stanley 8 Feet 339-TC Life Guard Yellow Precision Pocket Measuring Tape
Vintage Stanley 8 Feet 339-TC Life Guard Yellow Precision Pocket Measuring Tape
$7.99

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

O24 Steve Krowitz Life Guard Beach Patrol Booth Cold Day  Oversize Photo
O24 Steve Krowitz Life Guard Beach Patrol Booth Cold Day Oversize Photo
$9.99

Life Guard Shirt
Life Guard Shirt
$2.00

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

AFLAC (8) 6
AFLAC (8) 6" Plush Ducks Graduate Lifeguard Baby Construction Worker Life Guard+
$24.99

Speedo Womens Life Guard One-Piece Bathing Suit Navy Size 4/30-NWOT
Speedo Womens Life Guard One-Piece Bathing Suit Navy Size 4/30-NWOT
$12.99

1975 Winnipeg Manitoba Canada Monthly July Transit Ticket Pass Pool Life Guard
1975 Winnipeg Manitoba Canada Monthly July Transit Ticket Pass Pool Life Guard
$4.99

Britains Petite LTD. Her Majesty The Queen & Two Mounted Lifeguards #8151
Britains Petite LTD. Her Majesty The Queen & Two Mounted Lifeguards #8151
$31.50

Polly Pocket dolls life guard station
Polly Pocket dolls life guard station
$3.99

Life Jacket U.S. Coast Guard Approved Men's XXX-Large
Life Jacket U.S. Coast Guard Approved Men's XXX-Large
$5.50

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

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

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$7.49

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

Blenheim Mounted Horse and Lifeguards toy soldiers.
Blenheim Mounted Horse and Lifeguards toy soldiers.
$49.99

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$0.35

STERLING SILVER LIFE GUARDS REGIMENTAL SNUFF BOX 1979 MILITARY
STERLING SILVER LIFE GUARDS REGIMENTAL SNUFF BOX 1979 MILITARY
$98.94

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

LIFE GUARD SWIM WEAR WOMENS ON PIECE RED SIZE MEDIUM
LIFE GUARD SWIM WEAR WOMENS ON PIECE RED SIZE MEDIUM
$2.99

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

Britains Set 101 Band of the Life Guards, 1899 1st ver Slotted Arms, x16 figures
Britains Set 101 Band of the Life Guards, 1899 1st ver Slotted Arms, x16 figures
$675.00

Britains BRITISH REGIMENTS 7228 MOUNTED LIFEGUARDS
Britains BRITISH REGIMENTS 7228 MOUNTED LIFEGUARDS
$51.16

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

Britains Ltd Ed 5184 British Soldiers LIFEGUARDS Boxed Set
Britains Ltd Ed 5184 British Soldiers LIFEGUARDS Boxed Set
$85.28

1960's Tonka Life Guard Jeep Toy Excellent Plus W/ Raft / Racks / Strap
1960's Tonka Life Guard Jeep Toy Excellent Plus W/ Raft / Racks / Strap
$149.99

Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
Type II Orange Life Jacket Vest PFD - Adult Universal - Coast Guard Approved
$10.99

STEARNS LIFE JACKET U.S. COAST GUARD APPROVED MEDIUM
STEARNS LIFE JACKET U.S. COAST GUARD APPROVED MEDIUM
$5.50

Britains from Set 101 - Mounted Band of the Life Guards post war for repair x3
Britains from Set 101 - Mounted Band of the Life Guards post war for repair x3
$25.00

WW1 1st Life Guards Officers Button (Large) - Firmin & Sons
WW1 1st Life Guards Officers Button (Large) - Firmin & Sons
$5.12

1st LIFE GUARDS Silk with descriptive backing SCARCE Singleton & Cole
1st LIFE GUARDS Silk with descriptive backing SCARCE Singleton & Cole
$8.96

Vintage Lead Mounted Guard & Lifeguards Soldiers By Britains & John Hill & Co
Vintage Lead Mounted Guard & Lifeguards Soldiers By Britains & John Hill & Co
$1.69

K/C 2nd Life Guards 25mm Brass metal military button(FIRMIN & SONS LD)
K/C 2nd Life Guards 25mm Brass metal military button(FIRMIN & SONS LD)
$5.10

1909 T81 Recruit Cigars Military Series Non Die Cut Officer Life Guards England
1909 T81 Recruit Cigars Military Series Non Die Cut Officer Life Guards England
$3.00

RARE 2005 WALT DISNEY WORLD CHIP & DALE LIFE GUARD CAST MEMBER PIN
RARE 2005 WALT DISNEY WORLD CHIP & DALE LIFE GUARD CAST MEMBER PIN
$2.50

Allura, Bear,  Attic Treasures, Life Guard 1993, Beach, Ty Beanie Baby, ,  NWTs
Allura, Bear, Attic Treasures, Life Guard 1993, Beach, Ty Beanie Baby, , NWTs
$3.95

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

VINTAGE STANLEY TOOLS ADVERTISING SAMPLE LIFE GUARD TAPE RULE 6
VINTAGE STANLEY TOOLS ADVERTISING SAMPLE LIFE GUARD TAPE RULE 6" METAL MEASURE
$8.00

Camp Life of National Guards 1910  Postmarked Gettysburg, Pa.
Camp Life of National Guards 1910 Postmarked Gettysburg, Pa.
$2.00

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

FOR BLU LIFE ONE X L132L 1X Anti-Glare LCD Screen Film Guard Protector Cover
FOR BLU LIFE ONE X L132L 1X Anti-Glare LCD Screen Film Guard Protector Cover
$1.76

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

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

LEGO Minifigures Series 2 Life Guard NEW 1 Removed from packet
LEGO Minifigures Series 2 Life Guard NEW 1 Removed from packet
$2.01

LIFE Magazine, June 2, 1967: China's Red Guard; Gateway Arch; White Wolves
LIFE Magazine, June 2, 1967: China's Red Guard; Gateway Arch; White Wolves
$4.99

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

Vintage Boy Scout Patch, B.S.A. Scout Life Guard Badge
Vintage Boy Scout Patch, B.S.A. Scout Life Guard Badge
$5.50

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

BTS150 British Army Household Cavalry Lifeguards Trooper - Mounted
BTS150 British Army Household Cavalry Lifeguards Trooper - Mounted
$60.00

Gymboree Life Guard In Training Red T-Shirt Size 3
Gymboree Life Guard In Training Red T-Shirt Size 3
$3.99

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

Breyer #3368 Life Guards of the Queens Household Cavalry 2003 Limited Edition
Breyer #3368 Life Guards of the Queens Household Cavalry 2003 Limited Edition
$129.99

VINTAGE BRITAINS LEAD SOLDIER: MOUNTED LIFE GUARD CAVALRY IN WINTER DRESS
VINTAGE BRITAINS LEAD SOLDIER: MOUNTED LIFE GUARD CAVALRY IN WINTER DRESS
$10.50

FOR BLU LIFE PRO L210A 1X Anti-Glare LCD Screen Film Guard Protector Cover
FOR BLU LIFE PRO L210A 1X Anti-Glare LCD Screen Film Guard Protector Cover
$1.84

LOT 0F 2 COMPANION ROAD PET FASHIONS LIFE GUARD DOGGIE &  SWIM ROBE  RED SZ XL
LOT 0F 2 COMPANION ROAD PET FASHIONS LIFE GUARD DOGGIE & SWIM ROBE RED SZ XL
$8.99

BRITAINS TOY SOLDIERS NEW IN BOX 8829 Second LIfe Guards
BRITAINS TOY SOLDIERS NEW IN BOX 8829 Second LIfe Guards
$74.99

FOR BLU LIFE ONE M L131 1X Anti-Glare LCD Screen Film Guard Protector Cover
FOR BLU LIFE ONE M L131 1X Anti-Glare LCD Screen Film Guard Protector Cover
$1.58

WADE Teapot LONDON LIFE series made in England Queens Guards
WADE Teapot LONDON LIFE series made in England Queens Guards
$23.99

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!
$37.09

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
$10.50

vintage photo young boy on life guard tower
vintage photo young boy on life guard tower
$6.99

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

vintage photo young boy on life guard tower #2
vintage photo young boy on life guard tower #2
$6.99

Royal Horse Guards cap badge, The Life Guards Great Britain, cavalry
Royal Horse Guards cap badge, The Life Guards Great Britain, cavalry
$9.99

Life Guard Specific Chemical Detector with Smoke Tester
Life Guard Specific Chemical Detector with Smoke Tester
$60.00

WW1 / 2 ERA GM BUTTONS - LIFE GUARDS & ROYAL HORSE GUARDS
WW1 / 2 ERA GM BUTTONS - LIFE GUARDS & ROYAL HORSE GUARDS
$6.81

victoria secret pink life guard dog zip up sweatshirt size XS
victoria secret pink life guard dog zip up sweatshirt size XS
$5.00

 Life Extension  Palmetto Guard/Nettle Root Formula with Beta-Sitosterol -NEW
Life Extension Palmetto Guard/Nettle Root Formula with Beta-Sitosterol -NEW
$19.90

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

LONG LIFE PRODUCTS PROTECTIVE HEAD GEAR HEAD GUARD YOUTH MEDIUM RED
LONG LIFE PRODUCTS PROTECTIVE HEAD GEAR HEAD GUARD YOUTH MEDIUM RED
$0.99

BRITAINS 5195 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 1
BRITAINS 5195 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 1
$158.00

 VICTORIAN ERA GM TUNIC BUTTON - 1ST LIFE GUARDS..
VICTORIAN ERA GM TUNIC BUTTON - 1ST LIFE GUARDS..
$10.22

 WW1 ERA GM TUNIC BUTTON - 1ST LIFE GUARDS - KC.
WW1 ERA GM TUNIC BUTTON - 1ST LIFE GUARDS - KC.
$8.51

British
British "Life Guards (1st and 2nd)" Cap Badge
$23.48

life jacket vest Adult Orange Type 1 PFD Off-Shore US Coast Guard appv.
life jacket vest Adult Orange Type 1 PFD Off-Shore US Coast Guard appv.
$60.00

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

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
$28.29

Speedo Womens Life Guard One-Piece Bathing Suit Black Size 6/32 - NWT
Speedo Womens Life Guard One-Piece Bathing Suit Black Size 6/32 - NWT
$18.99

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

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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