Life Guards

Lifeguard (DVD, 2013)
Lifeguard (DVD, 2013)
$12.16

Lifeguard DVD 1976 Sam Elliot Anne Archer
Lifeguard DVD 1976 Sam Elliot Anne Archer
$13.51

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

LifeGuard EPDM Pond Liner Underlayment Combo 15 x 25 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 15 x 25 45 mil Lifetime Warranty
$380.14

LifeGuard EPDM Pond Liner Underlayment Combo 15 x 20 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 15 x 20 45 mil Lifetime Warranty
$304.11

Britains Saxophone  player MINT Band of the Life Guards
Britains Saxophone player MINT Band of the Life Guards
$17.50

 BRITAINS LIFEGUARD
BRITAINS LIFEGUARD
$9.99

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

LifeGuard EPDM Pond Liner Underlayment Combo 10 x 25 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 10 x 25 45 mil Lifetime Warranty
$253.42

LifeGuard EPDM Pond Liner Underlayment Combo 25 x 25 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 25 x 25 45 mil Lifetime Warranty
$581.25

LifeGuard EPDM Pond Liner Underlayment Combo 25 x 30 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 25 x 30 45 mil Lifetime Warranty
$697.50

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

Britains 54mm British 1893 1st Life Guards Trooper 120th Anniversary 49033
Britains 54mm British 1893 1st Life Guards Trooper 120th Anniversary 49033
$40.00

1/72  / HO Revell British Life Guards free shipping packing handling
1/72 / HO Revell British Life Guards free shipping packing handling
$12.00

Britains Mounted Lifeguard
Britains Mounted Lifeguard
$6.99

LifeGuard EPDM Pond Liner Underlayment Combo 20 x 20 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 20 x 20 45 mil Lifetime Warranty
$405.48

PnM021 The King's Lifeguard Regt. Flagbearer by King & Country
PnM021 The King's Lifeguard Regt. Flagbearer by King & Country
$55.00

Britains Cymbal - Cymbalist   player MINT Band of the Life Guards
Britains Cymbal - Cymbalist player MINT Band of the Life Guards
$17.50

LifeGuard EPDM Pond Liner Underlayment Combo 20 x 25 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 20 x 25 45 mil Lifetime Warranty
$506.85

Tin soldiers 54 mm Colonel of the Life Guards Dragoon Regiment. Russia, 1910-14
Tin soldiers 54 mm Colonel of the Life Guards Dragoon Regiment. Russia, 1910-14
$10.50

Britains Metal-Models Toy Soldier #7246 Lifeguard Standard Bearer (1981)
Britains Metal-Models Toy Soldier #7246 Lifeguard Standard Bearer (1981)
$9.99

LifeGuard EPDM Pond Liner 20 x 30 45 mil Backyard Waterfall Liner 25 Yr Warranty
LifeGuard EPDM Pond Liner 20 x 30 45 mil Backyard Waterfall Liner 25 Yr Warranty
$485.46

BRITAINS Ltd. SET #7228 MOUNTED LIFE GUARDS - BRITISH CAVALRY
BRITAINS Ltd. SET #7228 MOUNTED LIFE GUARDS - BRITISH CAVALRY
$44.99

Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
$22.99

LifeGuard EPDM Pond Liner Underlayment Combo 20 x 30 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 20 x 30 45 mil Lifetime Warranty
$558.00

Britains Metal Models Hand Painted Lifeguard Standard Bearer 7246 Soldier
Britains Metal Models Hand Painted Lifeguard Standard Bearer 7246 Soldier
$9.99

Tin soldiers 54 mm Officer of the Life guards Semenovsky regimen 1817-20 years
Tin soldiers 54 mm Officer of the Life guards Semenovsky regimen 1817-20 years
$10.50

LifeGuard EPDM Pond Liner 15 x 20 45 mil Backyard Waterfall Liner 25 Yr Warranty
LifeGuard EPDM Pond Liner 15 x 20 45 mil Backyard Waterfall Liner 25 Yr Warranty
$256.68

Britains 7230 Life Guard Trooper, Mounted
Britains 7230 Life Guard Trooper, Mounted
$13.00

Box of 3 Britains 3 Mounted Lifeguards
Box of 3 Britains 3 Mounted Lifeguards
$20.00

British regiments metal models Model 7227 - 3 Lifeguards, 3 Horseguards 1982
British regiments metal models Model 7227 - 3 Lifeguards, 3 Horseguards 1982
$49.99

BRITAINS Ltd. #7230 MOUNTED LIFE GUARD
BRITAINS Ltd. #7230 MOUNTED LIFE GUARD
$23.99

Lot of 6 BRITAINS 8018 Scot Guard Officers HORSE LifeGUARD Mounted Toy Soldiers
Lot of 6 BRITAINS 8018 Scot Guard Officers HORSE LifeGUARD Mounted Toy Soldiers
$119.99

Britains New Metal Models 7228, 3 Mounted Lifeguards, 2 Sets
Britains New Metal Models 7228, 3 Mounted Lifeguards, 2 Sets
$30.00

BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
BRITAINS 5295 LIFEGUARDS MOUNTED BAND LIMITED EDITION METAL TOY SOLDIER SET 2
$148.95

Britains 54mm Ceremonial Life Guard Mounted Trumpeter 41077 OOP
Britains 54mm Ceremonial Life Guard Mounted Trumpeter 41077 OOP
$22.00

BRITISH Mounted ?? LIFEGUARD CALVARY GUARDS Charging horse  lead toy 2pcK5
BRITISH Mounted ?? LIFEGUARD CALVARY GUARDS Charging horse lead toy 2pcK5
$12.99

BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
$17.99

Tin soldiers 54 mm Drum-major Lifeguards Izmailovo Regiment. Russia, 1814-15
Tin soldiers 54 mm Drum-major Lifeguards Izmailovo Regiment. Russia, 1814-15
$10.50

BRITAINS 00154 BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE 8 PIECE SET
BRITAINS 00154 BAND OF THE LIFEGUARDS METAL TOY SOLDIER FIGURE 8 PIECE SET
$125.00

SET OF 2 ~ BRITAINS 7230 LIFEGUARD WITH SWORD MOUNTED
SET OF 2 ~ BRITAINS 7230 LIFEGUARD WITH SWORD MOUNTED
$38.95

White Lifeguard Tank Top
White Lifeguard Tank Top
$12.95

USC Trojans Lifeguard Hat by Beachdude, Inc. of Huntington Beach
USC Trojans Lifeguard Hat by Beachdude, Inc. of Huntington Beach
$24.95

8pc Britains Metal Models 1986 Majesty Queen Elizabeth Horse Mounted Life Guards
8pc Britains Metal Models 1986 Majesty Queen Elizabeth Horse Mounted Life Guards
$79.95

W Britain New Metal Model Ceremonial Series, 41066 Life Guard Foot
W Britain New Metal Model Ceremonial Series, 41066 Life Guard Foot
$7.50

HAMLEY'S Britain Ceremonial Special Edition #4021 LIFE GUARD SET NM/MIB
HAMLEY'S Britain Ceremonial Special Edition #4021 LIFE GUARD SET NM/MIB
$69.99

LIFEGUARD TANK-TOP Tanktop Shirt Arched Image on front
LIFEGUARD TANK-TOP Tanktop Shirt Arched Image on front
$10.95

Cherilea British Life Guards Toy Soldiers
Cherilea British Life Guards Toy Soldiers
$24.95

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

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

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

2 Royal Life Guards Toy Lead Soldiers
2 Royal Life Guards Toy Lead Soldiers
$9.99

2 Swedish Sves Life Guard Marching Lead Soldiers
2 Swedish Sves Life Guard Marching Lead Soldiers
$9.99

2 Swedish Sves Life Guards Toy Lead Soldiers
2 Swedish Sves Life Guards Toy Lead Soldiers
$9.99

BRITAINS TOY SOLDIERS MOUNTED LIFEGUARD 7230! Box not mint!
BRITAINS TOY SOLDIERS MOUNTED LIFEGUARD 7230! Box not mint!
$19.99

54mm Russian Officer of the Lithuanian Life Guard Regiment (1910-1914)
54mm Russian Officer of the Lithuanian Life Guard Regiment (1910-1914)
$34.99

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

LIFEGUARD  American Red Cross pin
LIFEGUARD American Red Cross pin
$4.23

Lifeguard, Adult Swim Goggles, NIP
Lifeguard, Adult Swim Goggles, NIP
$2.00

TIN TOY SOLDIER 54mm: *** Cavalry officer of the Life Guards. Sweden *** NAP36
TIN TOY SOLDIER 54mm: *** Cavalry officer of the Life Guards. Sweden *** NAP36
$10.99

LEGO Collectible Minifigure Series 2 (8684) Life Guard
LEGO Collectible Minifigure Series 2 (8684) Life Guard
$5.25

Tin soldiers 54 mm Life Guards colonel Ulan regiment. Russia, 1910-14  years
Tin soldiers 54 mm Life Guards colonel Ulan regiment. Russia, 1910-14 years
$10.50

Lifeguard  Adult Hoodie Sweatshirt  Red Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
$24.99

FANCY DRESS HALLOWEEN COSTUME PARTY PROP PATCH: Baywatch Swimsuit LIFEGUARD
FANCY DRESS HALLOWEEN COSTUME PARTY PROP PATCH: Baywatch Swimsuit LIFEGUARD
$12.99

WILLIAM BRITAINS 5994 UNPAINTED LIFEGUARD (FOOT) METAL TOY SOLDIER *ENGLAND
WILLIAM BRITAINS 5994 UNPAINTED LIFEGUARD (FOOT) METAL TOY SOLDIER *ENGLAND
$14.95

LEGO #8684 Mini figure Series 2 LIFEGUARD
LEGO #8684 Mini figure Series 2 LIFEGUARD
$7.99

Kiefer Swimsuit ~ Lifeguard ~ Size 32 (Small)
Kiefer Swimsuit ~ Lifeguard ~ Size 32 (Small)
$7.99

LifeGuard EPDM Pond Liner 10 x 15 45 mil Backyard Waterfall Liner 25 Yr Warranty
LifeGuard EPDM Pond Liner 10 x 15 45 mil Backyard Waterfall Liner 25 Yr Warranty
$128.34

Britains 7230 Life Guard Mounted Trooper
Britains 7230 Life Guard Mounted Trooper
$13.00

BRITAINS TOY SOLDIER LIFE GUARD AND GUARDHOUSE
BRITAINS TOY SOLDIER LIFE GUARD AND GUARDHOUSE
$9.67

BRITAINS LIFE GUARD AND SENTRY BOX NEW METAL  #18232
BRITAINS LIFE GUARD AND SENTRY BOX NEW METAL #18232
$9.99

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

BRITAINS 8032 TOY SOLDIERS Life Guards Standard Bearer MARCHING FIGURES 7246
BRITAINS 8032 TOY SOLDIERS Life Guards Standard Bearer MARCHING FIGURES 7246
$24.99

W Britain Britains   08012 - Lifeguard
W Britain Britains 08012 - Lifeguard
$19.99

LifeGuard EPDM Pond Liner Underlayment Combo 10 x 20 45 mil Lifetime Warranty
LifeGuard EPDM Pond Liner Underlayment Combo 10 x 20 45 mil Lifetime Warranty
$202.74

Lifeguard Breakaway Lanyard Whistle Lanyard Badge Holder Cotton
Lifeguard Breakaway Lanyard Whistle Lanyard Badge Holder Cotton
$3.95

50
50" Vintage Beach Shack LIFEGUARD Bouy Float Life Preserver Nautical Decor
$29.99

Lifeguard DVD Region ALL
Lifeguard DVD Region ALL
$14.01

1/32 ORYON COLLECTION HISTORY CLUB METAL FIGURE BRITISH CAVALRY 1Reg.LIFE GUARDS
1/32 ORYON COLLECTION HISTORY CLUB METAL FIGURE BRITISH CAVALRY 1Reg.LIFE GUARDS
$13.99

Lifeguard Shirt
Lifeguard Shirt
$7.99

William Britains Toy Soldiers- Life Guard
William Britains Toy Soldiers- Life Guard
$5.00

William Britains Toy Soldiers- Life Guard
William Britains Toy Soldiers- Life Guard
$5.00

BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
BRITAINS 41077/8033 BRITISH ROYAL HOUSEHOLD LIFE GUARD TRUMPERTER MOUNTED
$14.99

BRITAINS 8100 MOUNTED LIFEGUARD METAL TOY SOLDIER
BRITAINS 8100 MOUNTED LIFEGUARD METAL TOY SOLDIER
$20.95

Britains 00157 Band Of The Life Guards (5 Pcs)
Britains 00157 Band Of The Life Guards (5 Pcs)
$50.00

Britains Herald Mounted Lifeguards with Swords Set of Two Pre 1955
Britains Herald Mounted Lifeguards with Swords Set of Two Pre 1955
$8.99

BRITAINS 7247 METAL TOY SOLDIERS LIFEGUARD TRUMPETER
BRITAINS 7247 METAL TOY SOLDIERS LIFEGUARD TRUMPETER
$18.95

Tiki Lifeguard Hat EXCLUSIVE by Beachdude, Inc. of Huntington Bea
Tiki Lifeguard Hat EXCLUSIVE by Beachdude, Inc. of Huntington Bea
$24.95

Britains 8034 Mounted Ceremonial Drum Horse LifeGuard Toy Soldier Figure
Britains 8034 Mounted Ceremonial Drum Horse LifeGuard Toy Soldier Figure
$29.99

Laguna Men's Loose-Fit Lifeguard Short-Sleeve Rashguard
Laguna Men's Loose-Fit Lifeguard Short-Sleeve Rashguard
$15.00

SDSU San Diego State Lifeguard Hat by Beachdude, Inc. of Huntington Beach
SDSU San Diego State Lifeguard Hat by Beachdude, Inc. of Huntington Beach
$24.95

Beautiful Buxom Blonde Vixen Woman Life Guard Figure
Beautiful Buxom Blonde Vixen Woman Life Guard Figure
$17.98

Britain's Set #5184 Life Guards
Britain's Set #5184 Life Guards
$70.00

Della Reese With Duke Ellingto - 1962 Live Guard Sessesions With Duke E (NEW CD)
Della Reese With Duke Ellingto - 1962 Live Guard Sessesions With Duke E (NEW CD)
$14.21

SURFER LIFEGUARD, MENS WOODEN BEAD NECKLACE PENDANT BROWN BLACK BOY GIFT ROSARY
SURFER LIFEGUARD, MENS WOODEN BEAD NECKLACE PENDANT BROWN BLACK BOY GIFT ROSARY
$7.45

Vintage Surfboard - Lifeguard Emergency Beach Rescue Longboard - For Restoration
Vintage Surfboard - Lifeguard Emergency Beach Rescue Longboard - For Restoration
$100.00

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

 3-1980's BRITAINS:   SCOTSGUARD LIFEGUARD BEEFEATER England 2.5
3-1980's BRITAINS: SCOTSGUARD LIFEGUARD BEEFEATER England 2.5" Toy Soldiers
$12.00

LEGO Friends Light Blue Dolphin & Lifeguard Emma minifigures 41028
LEGO Friends Light Blue Dolphin & Lifeguard Emma minifigures 41028
$3.99

W,  Britain  NIB The Life Guards Mounted Band #5295  Set #2   Never Sold
W, Britain NIB The Life Guards Mounted Band #5295 Set #2 Never Sold
$165.00

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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