Life Guards

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
$139.99

Britains Life Guards Mounted Trumpeter Set #2170 w/ Orig. Box
Britains Life Guards Mounted Trumpeter Set #2170 w/ Orig. Box
$158.00

Life Guard Custom Made T-Shirt with Your Name Large Red
Life Guard Custom Made T-Shirt with Your Name Large Red
$9.99

Blue On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 4 4S
Blue On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 4 4S
$3.49

Britains Toy Soldiers 5184 British Soldiers Life Guards Limited Edition Set 1604
Britains Toy Soldiers 5184 British Soldiers Life Guards Limited Edition Set 1604
$118.68

Blue On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 5 5S
Blue On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 5 5S
$6.46

Playgirl Aug 1988 George Michael, Sexy Rockers, Lifeguards, River Phoenix, NUDES
Playgirl Aug 1988 George Michael, Sexy Rockers, Lifeguards, River Phoenix, NUDES
$6.99

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

U.S. INLAND LIFE-SAVING COAST GUARD STATION,LOUISVILLE,KY DOCK,SHIP,BOAT
U.S. INLAND LIFE-SAVING COAST GUARD STATION,LOUISVILLE,KY DOCK,SHIP,BOAT
$4.50

Britains  Eyes Right life guard mounted band
Britains Eyes Right life guard mounted band
$500.00

Ducal Traditional Military Figures Royal Life Guards 5001 Hand Painted
Ducal Traditional Military Figures Royal Life Guards 5001 Hand Painted
$49.95

Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
Life Essential Stainless Steel Protector Finger Slice Knife Hand Guard Chop New
$0.10

Black On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 4 4S
Black On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 4 4S
$3.49

Breyer  Model Horse Toy  - NIB 3368 Life Guards of the Queens Household Cavalry
Breyer Model Horse Toy - NIB 3368 Life Guards of the Queens Household Cavalry
$94.00

Britains hollowcast lead Life Guards in Winter Cloaks with officer.
Britains hollowcast lead Life Guards in Winter Cloaks with officer.
$28.59

Victorian Brass Martingale badge  Lifeguards Regiment,. horse badge,
Victorian Brass Martingale badge Lifeguards Regiment,. horse badge,
$74.72

Ducal Traditional Military Figures Royal Life Guards 5002 Hand Painted
Ducal Traditional Military Figures Royal Life Guards 5002 Hand Painted
$49.95

Level B Bio Hazmat Suit Fire MOPP CBRNE Prepper Gear Zombie Life Guard Unused
Level B Bio Hazmat Suit Fire MOPP CBRNE Prepper Gear Zombie Life Guard Unused
$49.99

2 Youth Stern Life Vest/Jacket/Preservers Size Chest 26-29 Coast Guard Approved
2 Youth Stern Life Vest/Jacket/Preservers Size Chest 26-29 Coast Guard Approved
$11.50

Dresden 1st LIFE GUARD 11
Dresden 1st LIFE GUARD 11" figure - Great Condition
$285.00

Airfix 54mm Kit Napolenic LIFE GUARD 1815 Waterloo
Airfix 54mm Kit Napolenic LIFE GUARD 1815 Waterloo
$9.99

1950'S LIFE GUARD TOY BOAT WITH MAN 7
1950'S LIFE GUARD TOY BOAT WITH MAN 7" BOXED
$9.99

LIFEGUARD HAPPY DUCK LIFE GUARD DUCK WITH BUOY DUCKS  2013 SWAROVSKI    #1143443
LIFEGUARD HAPPY DUCK LIFE GUARD DUCK WITH BUOY DUCKS 2013 SWAROVSKI #1143443
$91.94

Birdwell Beach Britches Red Nylon LIFE GUARD BRITCHES NEVER WORN!
Birdwell Beach Britches Red Nylon LIFE GUARD BRITCHES NEVER WORN!
$34.00

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

Vintage wax figures Jaws shark attack boy men life guard photo beach abstract
Vintage wax figures Jaws shark attack boy men life guard photo beach abstract
$9.99

Ducal Traditional Military Figures Royal Life Guards M18 Corporal of Horse
Ducal Traditional Military Figures Royal Life Guards M18 Corporal of Horse
$49.95

1926 Press Photo Fair bathers plead with life guard open Chicago beaches
1926 Press Photo Fair bathers plead with life guard open Chicago beaches
$9.99

LIFE LIKE NASCAR DALE EARNHARDT JR NTL GUARD CHEVY IMPALA HO SCALE SLOT CAR
LIFE LIKE NASCAR DALE EARNHARDT JR NTL GUARD CHEVY IMPALA HO SCALE SLOT CAR
$8.95

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

ZIPPO 1998 LIFE GUARD LIMITED EDITION VERY RARE
ZIPPO 1998 LIFE GUARD LIMITED EDITION VERY RARE
$36.00

Guard Us, Guide Us : Divine Leading in Life's Decisions by J. I. Packer and...
Guard Us, Guide Us : Divine Leading in Life's Decisions by J. I. Packer and...
$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
$115.00

Stearns Us Coast Guard Life Vest Floatation Type V Donning PFD EUC!!! L/XXL
Stearns Us Coast Guard Life Vest Floatation Type V Donning PFD EUC!!! L/XXL
$24.99

Red On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 5 5S
Red On Daily Life Water PROOF Shockproof Dirt Snow Proof Case For iPhone 5 5S
$5.49

BRITAINS 00157 CEREMONIAL BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE SET
BRITAINS 00157 CEREMONIAL BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE SET
$62.95

Junior Lifeguards Sweatshirt Hoodie UCSB California Adult Small to Med
Junior Lifeguards Sweatshirt Hoodie UCSB California Adult Small to Med
$11.99

The Lifeguards
The Lifeguards "Everybody Out'Ta The Pool" ABC-Paramount 45
$4.99

BRITAINS TOY SOLDIERS BAND OF THE LIFE GUARDS 00157
BRITAINS TOY SOLDIERS BAND OF THE LIFE GUARDS 00157
$49.81

British Life Guards 7 on Foot 3 on Horse back Very old
British Life Guards 7 on Foot 3 on Horse back Very old
$3.30

1903 WILLS SOLDIERS OF THE WORLD #47 INDIA LIFEGUARDS
1903 WILLS SOLDIERS OF THE WORLD #47 INDIA LIFEGUARDS
$2.99

Vintage Britain Limited Life Guard Soldiers b31
Vintage Britain Limited Life Guard Soldiers b31
$21.99

Stearns Life Vest For Children Under 30 lbs - US COAST GUARD APPROVED!
Stearns Life Vest For Children Under 30 lbs - US COAST GUARD APPROVED!
$9.99

LIFE GUARD HOODED SWEAT SHIRT XL
LIFE GUARD HOODED SWEAT SHIRT XL
$20.00

Vintage Britains Toy Soldiers Set No 7228 Three Mounted Life Guards Excellent
Vintage Britains Toy Soldiers Set No 7228 Three Mounted Life Guards Excellent
$29.97

Rehobeth Bethany Dewey Beach Delaware lifeguards vintage continental pc (Z4659)
Rehobeth Bethany Dewey Beach Delaware lifeguards vintage continental pc (Z4659)
$3.99

Vintage 60’s Wyler Incaflex Life-Guard Swiss Manual-Wind Watch *RedGiftBox WORKS
Vintage 60’s Wyler Incaflex Life-Guard Swiss Manual-Wind Watch *RedGiftBox WORKS
$59.99

Ducal Traditional Military Figures Royal Life Guards M21 Standard Bearer
Ducal Traditional Military Figures Royal Life Guards M21 Standard Bearer
$49.95

Womens VICTORIA SECRET PINK Life Guard Logo Sweatshirt Sz Lg Pink
Womens VICTORIA SECRET PINK Life Guard Logo Sweatshirt Sz Lg Pink
$14.99

Life Guard Yellow Stanley Powerlock 12 ft Tape Measure - FREE SHIPPING!!!!
Life Guard Yellow Stanley Powerlock 12 ft Tape Measure - FREE SHIPPING!!!!
$3.99

Large San Diego, CA Life Guard Hoodie
Large San Diego, CA Life Guard Hoodie
$4.00

BRITAINS /54MM/4PCS/C.1990'S/MOUNTED LIFE  GUARDS/ MINT NO BOX
BRITAINS /54MM/4PCS/C.1990'S/MOUNTED LIFE GUARDS/ MINT NO BOX
$80.00

MENS LIFEGUARD LIFE GUARD MALIBU BEACH SHIRT BEACH POOL MEDIUM M GRAY RED
MENS LIFEGUARD LIFE GUARD MALIBU BEACH SHIRT BEACH POOL MEDIUM M GRAY RED
$3.00

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
$14.99

5 pc Set #1 Lifeguards Life Guards Vintage Britains Toy Solders c. 1946-1960
5 pc Set #1 Lifeguards Life Guards Vintage Britains Toy Solders c. 1946-1960
$138.00

Limoges France Peint Main Hand Painted Life Guard Penguin Trinket Box Figure
Limoges France Peint Main Hand Painted Life Guard Penguin Trinket Box Figure
$29.00

W BRITAIN METAL TOY SOLDIER LMT ED 981 OF 70001 THE LIFEGUARDS #5184 W/ COA MIB
W BRITAIN METAL TOY SOLDIER LMT ED 981 OF 70001 THE LIFEGUARDS #5184 W/ COA MIB
$19.99

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 1 5195
$215.88

Victoria's Secret Pink Bikini Top Swimwear Suit Set XS White/Blue Life Guard
Victoria's Secret Pink Bikini Top Swimwear Suit Set XS White/Blue Life Guard
$12.00

54mm metal gloss painted toy soldier style life guards by gh figures
54mm metal gloss painted toy soldier style life guards by gh figures
$1.64

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

lot of 4 Type II PDF Orange Life Jacket Vest Adult Universal USED coast guard ap
lot of 4 Type II PDF Orange Life Jacket Vest Adult Universal USED coast guard ap
$14.99

Old BRITAINS Lead, Life Guard Mounted Sentries, 2 Pieces Fm Set #2029 c.1950s
Old BRITAINS Lead, Life Guard Mounted Sentries, 2 Pieces Fm Set #2029 c.1950s
$19.99

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

Toy Soldiers 5 Plastic Painted 60mm Victorian Era Life Horse Guards
Toy Soldiers 5 Plastic Painted 60mm Victorian Era Life Horse Guards
$12.50

LIFE GUARD Pet Tank Top Dog T Shirt MEDIUM - NWT
LIFE GUARD Pet Tank Top Dog T Shirt MEDIUM - NWT
$2.99

Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
Pendant of Life Legends of The Hidden Temple Temple Guard Prop New
$4.90

U.S Coast Guard Approved Youth Childs Life Jacket Ski Vest Small
U.S Coast Guard Approved Youth Childs Life Jacket Ski Vest Small
$4.99

Britains Life Guards, in Winter Cloaks #400
Britains Life Guards, in Winter Cloaks #400
$128.00

BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
BRITAINS TOY SOLDIERS THE LIFE GUARDS MOUNTED BAND SET 2 5295
$215.88

1940's Booklet - UBIKO FEEDS Co - How to Raise Hogs - Life Guard - Cincinnati OH
1940's Booklet - UBIKO FEEDS Co - How to Raise Hogs - Life Guard - Cincinnati OH
$1.95

Britains boxed Life Guards #1 (rare pre-war version-1925)
Britains boxed Life Guards #1 (rare pre-war version-1925)
$225.00

Loose 1/6 scale Dragon life guards
Loose 1/6 scale Dragon life guards
$79.00

 ➨ Life Guard Station VENICE BEACH CA ➨ WOOD FRAME SURF PLEIN AIR Oil Antonyuk
➨ Life Guard Station VENICE BEACH CA ➨ WOOD FRAME SURF PLEIN AIR Oil Antonyuk
$125.00

Classic Life Guard Bathingsuit One Piece Swimsuit Water Safety Products Large
Classic Life Guard Bathingsuit One Piece Swimsuit Water Safety Products Large
$14.99

Scout Life Guard Patch
Scout Life Guard Patch
$4.99

Britains  Trooper, Life Guards -  #37B 1954  Boxed
Britains Trooper, Life Guards - #37B 1954 Boxed
$24.95

The Life Guards    London England  by the Hilton Hotel on Park Lane
The Life Guards London England by the Hilton Hotel on Park Lane
$0.55

GROBOSKI LONG LIFE DURAFLEX SPLASH GUARDS FITS ALL PASSENGER CARS, USA, NEW
GROBOSKI LONG LIFE DURAFLEX SPLASH GUARDS FITS ALL PASSENGER CARS, USA, NEW
$7.99

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

Bering Sea Escort : WW2  Life Aboard a Coast Guard Cutter .
Bering Sea Escort : WW2 Life Aboard a Coast Guard Cutter .
$5.00

Casad Child Life Vest Jacket Coast Guard Approved 30-50 lbs
Casad Child Life Vest Jacket Coast Guard Approved 30-50 lbs
$15.37

Britains Mounted Royal Life Guard Horse Soldier Lead Original Vintage Figure
Britains Mounted Royal Life Guard Horse Soldier Lead Original Vintage Figure
$14.99

 Swim Parka Teen  Size XLG   Used Life Guard
Swim Parka Teen Size XLG Used Life Guard
$34.99

2014 MATCHBOX
2014 MATCHBOX "TOYOTA TACOMA"--LIFE GUARD--NEW RELEASE
$0.99

Tin 54 mm Russian soldiers of the Life Guards attack. Napoleonic.
Tin 54 mm Russian soldiers of the Life Guards attack. Napoleonic.
$12.99

Ocean City, New Jersey NJ postcard US Life Guard Station 1910 Vintage
Ocean City, New Jersey NJ postcard US Life Guard Station 1910 Vintage
$5.99

D F Grieve 65mm Dismounted British Life Guards rare
D F Grieve 65mm Dismounted British Life Guards rare
$30.00

Britains Toy Soldiers No 7226 2 Scots Guards 2 Life Guards 2 Yeomen Of The Guard
Britains Toy Soldiers No 7226 2 Scots Guards 2 Life Guards 2 Yeomen Of The Guard
$24.97

100+ Lot of Boy Scouts Patches and Vintage Box BSA, Air Scout,Life Guard,UK etc.
100+ Lot of Boy Scouts Patches and Vintage Box BSA, Air Scout,Life Guard,UK etc.
$77.00

SPAIN LIFE GUARD CIVIL PROTECTION FIRE PATCH POMPIERS FEUERWEHR
SPAIN LIFE GUARD CIVIL PROTECTION FIRE PATCH POMPIERS FEUERWEHR
$3.50

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

24 H.O SCALE GRAY GUARD RAILS FITS TOMY, AURORA AFX AUTO WORLD TYCO
24 H.O SCALE GRAY GUARD RAILS FITS TOMY, AURORA AFX AUTO WORLD TYCO
$14.99

LEGO 7738 COAST GUARD HELICOPTER & LIFE RAFT (CITY) 445 PC (stand NOT included)
LEGO 7738 COAST GUARD HELICOPTER & LIFE RAFT (CITY) 445 PC (stand NOT included)
$29.00

54mm THREE Russian SOLDIERS of Life Guard Regiments
54mm THREE Russian SOLDIERS of Life Guard Regiments
$39.99

Vintage-Unused BSA Life Guard Patch-Nice Item!
Vintage-Unused BSA Life Guard Patch-Nice Item!
$6.99

Santa Cruz -State Life Guard-JG (Junior Guard)-Logo Patch
Santa Cruz -State Life Guard-JG (Junior Guard)-Logo Patch
$6.99

U.S. Life Saving Service Heroes Rescues Architecture of Early COAST GUARD book
U.S. Life Saving Service Heroes Rescues Architecture of Early COAST GUARD book
$9.99

Wake Force By Stearns Youth Life Vest Jacket Coast Guard Approved 50-90 lbs
Wake Force By Stearns Youth Life Vest Jacket Coast Guard Approved 50-90 lbs
$15.37

Vintage Stanley Life Guard Yellow MY10 Tape Measure 10 Ft
Vintage Stanley Life Guard Yellow MY10 Tape Measure 10 Ft
$6.00

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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