Life Guards

MARLBOROUGH - Life Guards Officer
MARLBOROUGH - Life Guards Officer
$11.95

Britains like toy soldier Ducal MIB Field Officer of Life Guards
Britains like toy soldier Ducal MIB Field Officer of Life Guards
$29.95

Britains like toy soldier Ducal MIB Trooper of Life Guards
Britains like toy soldier Ducal MIB Trooper of Life Guards
$29.95

BRITAINS TOY SOLDIERS 00074 Mounted Band of the Lifeguards SET 2 CENETARY SERIES
BRITAINS TOY SOLDIERS 00074 Mounted Band of the Lifeguards SET 2 CENETARY SERIES
$89.00

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

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

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

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

BRITAIN MOUNTED BRITISH LIFEGUARD CALVARY GUARDS w Flag lead toy 2pcK4
BRITAIN MOUNTED BRITISH LIFEGUARD CALVARY GUARDS w Flag lead toy 2pcK4
$12.99

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

NOMEX 111 FLAME RESIST BLUE COVERALLS WORK SUIT MENS 40R LIFE GUARD USA MADE
NOMEX 111 FLAME RESIST BLUE COVERALLS WORK SUIT MENS 40R LIFE GUARD USA MADE
$16.99

Hampton - B230 - Household Cavalry (Life Guards) - 4 pieces - Ceremonial
Hampton - B230 - Household Cavalry (Life Guards) - 4 pieces - Ceremonial
$99.00

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

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

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

Lifeguard  Adult Hoodie Sweatshirt  Red Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Red Life Guard Brand New
$29.99

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

RAINBOW 320 LIFEGUARD R171096 PENTAIR WATER INLINE CHLORINATOR
RAINBOW 320 LIFEGUARD R171096 PENTAIR WATER INLINE CHLORINATOR
$49.00

Swimming ring Lifeguard Life Preserver Swimming Pool Foam Safety Ring Buoy Red
Swimming ring Lifeguard Life Preserver Swimming Pool Foam Safety Ring Buoy Red
$31.99

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

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

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

Lead Mounted Lifeguards Coronation Band Clarinet Player
Lead Mounted Lifeguards Coronation Band Clarinet Player
$9.00

BRITAINS 6 Lead Figures THE LIFE GUARDS No.2029 Mounted & Foot Sentries box
BRITAINS 6 Lead Figures THE LIFE GUARDS No.2029 Mounted & Foot Sentries box
$69.00

Lead Mounted Lifeguards Coronation Band Trumpet Player
Lead Mounted Lifeguards Coronation Band Trumpet Player
$9.00

Lead Mounted Lifeguards Coronation Band Baritone Player
Lead Mounted Lifeguards Coronation Band Baritone Player
$9.00

LIFEGUARD TANK-TOP Tanktop Shirt Arched Image on front
LIFEGUARD TANK-TOP Tanktop Shirt Arched Image on front
$9.95

Britains 7246 Mounted Life Guard with Colours NIB
Britains 7246 Mounted Life Guard with Colours NIB
$15.00

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

Baywatch: Lifeguard Training Playset
Baywatch: Lifeguard Training Playset
$19.99

William Britain Britains Mounted Lifeguard 41074 Figure
William Britain Britains Mounted Lifeguard 41074 Figure
$45.99

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

Lifeguard DVD Region ALL
Lifeguard DVD Region ALL
$14.31

BAYWATCH LIFEGUARD INFLATABLE RED FLOAT 29
BAYWATCH LIFEGUARD INFLATABLE RED FLOAT 29" LIFE GUARD FANCY DRESS COSTUME FLOAT
$13.95

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
$3.99

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

YELLOW & RED PLASTIC
YELLOW & RED PLASTIC "BAYWATCH" LIFEGUARD CAR/O,K. COND.- 5" x 14" x 6"IN SIZE.
$4.99

French & BRITISH Soldier LIFEGUARD CALVARY GUARDS Staff Flag lead 2pcK3
French & BRITISH Soldier LIFEGUARD CALVARY GUARDS Staff Flag lead 2pcK3
$12.99

New TYR lifeguard challenger men xl navy blue swim trunks $36
New TYR lifeguard challenger men xl navy blue swim trunks $36
$10.00

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

William Britain Life guard  mounted iron toy soldier
William Britain Life guard mounted iron toy soldier
$11.99

Soldier MOUNTED BRITISH LIFEGUARD CALVARY GUARDS toy figures 2pcs K2
Soldier MOUNTED BRITISH LIFEGUARD CALVARY GUARDS toy figures 2pcs K2
$12.99

W Britain Britains  1973- Lifeguard
W Britain Britains 1973- Lifeguard
$7.50

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

Lead Mounted Lifeguards Coronation Band French Horn Player
Lead Mounted Lifeguards Coronation Band French Horn Player
$9.00

Burt's Bees Lifeguard's Choice Waterproofing Lip Balm for snow & Sun Sealed
Burt's Bees Lifeguard's Choice Waterproofing Lip Balm for snow & Sun Sealed
$36.09

Sexy LIFEGUARD BOYS STAND BAREFOOT Swimsuit BULGE vtg HANDSOME MEN photo GAY INT
Sexy LIFEGUARD BOYS STAND BAREFOOT Swimsuit BULGE vtg HANDSOME MEN photo GAY INT
$19.99

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
$6.95

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

 New OPI Nail Polish / Lacquer - 15 (mL) .5 Fl Oz. Assorted Colors - You Choose
New OPI Nail Polish / Lacquer - 15 (mL) .5 Fl Oz. Assorted Colors - You Choose
$6.30

MARLBOROUGH Diamond Jubilee Mounted Life Guards Set #J3a Trophy Nostalgia
MARLBOROUGH Diamond Jubilee Mounted Life Guards Set #J3a Trophy Nostalgia
$49.95

LifeGuard Perfume Like Beach Bobbi Brown +Coconut Beach Coppertone Beach
LifeGuard Perfume Like Beach Bobbi Brown +Coconut Beach Coppertone Beach
$7.99

Vintage Snoopy Ceramic Coin Bank By Denz Life Guard Peanuts Charlie Brown
Vintage Snoopy Ceramic Coin Bank By Denz Life Guard Peanuts Charlie Brown
$19.99

Burt's Bees Lifeguard's Choice Lip Balm New Safety Sealed
Burt's Bees Lifeguard's Choice Lip Balm New Safety Sealed
$22.50

Shabby Adorable Chic White Wood Lifeguard Beach Chair
Shabby Adorable Chic White Wood Lifeguard Beach Chair
$10.00

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

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

Department 56 Seasons Bay Lifeguard on Duty
Department 56 Seasons Bay Lifeguard on Duty
$7.20

LOS ANGELES COUNTY CALIFORNIA FIRE LIFEGUARD PATCH
LOS ANGELES COUNTY CALIFORNIA FIRE LIFEGUARD PATCH
$6.00

BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
BRITAINS 7233 HM QUEEN LIFEGUARD HORSEGUARD MOUNTED METAL TOY SOLDIER FIGURE SET
$46.95

Kyser KLHA Lifeguard Acoustic Guitar Humidifier
Kyser KLHA Lifeguard Acoustic Guitar Humidifier
$14.99

Del Prado - SNP006 - Grenadier, Russian Preobrajensky Lifeguard, 1799
Del Prado - SNP006 - Grenadier, Russian Preobrajensky Lifeguard, 1799
$12.99

50
50" Vintage Beach Shack LIFEGUARD Bouy Float Life Preserver Nautical Decor
$38.49

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

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

Lifeguard Mini Rescue Can Keychain
Lifeguard Mini Rescue Can Keychain
$4.99

Lifeguard DVD 1976 Sam Elliot Anne Archer
Lifeguard DVD 1976 Sam Elliot Anne Archer
$13.81

NJ Postcard
NJ Postcard "Ocean City Life Guards"
$8.00

New speedo 6/32 red lifeguard swimsuit $64
New speedo 6/32 red lifeguard swimsuit $64
$20.00

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

British Household Cavalry Gauntlets (Gloves) Life Guards Blues & Royals
British Household Cavalry Gauntlets (Gloves) Life Guards Blues & Royals
$34.59

Britains 7227 3 Lifeguards and 3 Horseguards
Britains 7227 3 Lifeguards and 3 Horseguards
$15.00

Life is Good Sleevless T Shirt Womens XL Beach Life Guard Chair Classic Fit NWT
Life is Good Sleevless T Shirt Womens XL Beach Life Guard Chair Classic Fit NWT
$21.99

New  speedo  women 28 red lifeguard swimsuit $64
New speedo women 28 red lifeguard swimsuit $64
$20.00

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

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

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

Britains Soldiers Lot Of 6 Beefeater Blues & Royals Life Guard Grenadier Bobby
Britains Soldiers Lot Of 6 Beefeater Blues & Royals Life Guard Grenadier Bobby
$16.95

Wilton Cake Pan Pretty Lady Girl in Bikini Wrestler Life Guard Bachelor Party
Wilton Cake Pan Pretty Lady Girl in Bikini Wrestler Life Guard Bachelor Party
$30.00

August 1993 PLAYBOY Magazine LADY LIFEGUARDS
August 1993 PLAYBOY Magazine LADY LIFEGUARDS
$4.99

Life Guards Troopers Tunic (Household Cavalry)
Life Guards Troopers Tunic (Household Cavalry)
$119.14

Swimming ring Lifeguard Life Preserver Swimming Pool Foam Safety Ring Buoy Blue
Swimming ring Lifeguard Life Preserver Swimming Pool Foam Safety Ring Buoy Blue
$31.99

Life Magazine Japanese Home Guard July 1939
Life Magazine Japanese Home Guard July 1939
$7.99

54mm Britains Life Guards Mounted Standard Bearer Figure circa 1980's EXC
54mm Britains Life Guards Mounted Standard Bearer Figure circa 1980's EXC
$20.00

BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH  LIFE GUARD & HORSE GUARD
BRITAINS Ltd. #7233 MOUNTED HM QUEEN ELIZABETH LIFE GUARD & HORSE GUARD
$44.99

TMNT VINTAGE
TMNT VINTAGE "LIFEGUARD LEO" TEENAGE MUTANT NINJA TURTLES PLAYMATES LOOS
$2.95

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

Kids boys girls Ocean City Maryland red lifeguard hooded sweatshirt Large 14/16
Kids boys girls Ocean City Maryland red lifeguard hooded sweatshirt Large 14/16
$9.99

1 BURTS BEES LIFEGUARDS CHOICE WEATHERPROOFING LIP BALM for snow
1 BURTS BEES LIFEGUARDS CHOICE WEATHERPROOFING LIP BALM for snow
$44.99

Danish Royal Life Guards Cockade Hat Cap Badge Denmark
Danish Royal Life Guards Cockade Hat Cap Badge Denmark
$14.95

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

Britains 54mm Archive Collection British Life Guard 50007C
Britains 54mm Archive Collection British Life Guard 50007C
$25.00

6-Liters OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
6-Liters OEM ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$139.86

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

OPI Nail Lacquer - Great Colors to Choose From! Buy 2 or more & Save!! New!
OPI Nail Lacquer - Great Colors to Choose From! Buy 2 or more & Save!! New!
$3.79

9-Liters oem ZF Lifeguard 6  Automatic Transmission Fluid  S671090255
9-Liters oem ZF Lifeguard 6 Automatic Transmission Fluid S671090255
$224.00

White Lifeguard Tank Top
White Lifeguard Tank Top
$12.95

UNISEX OFFICIAL LICENSED  LIFEGUARD HOODIE WITH OPTION LOCATION PRINT AND COLOR
UNISEX OFFICIAL LICENSED LIFEGUARD HOODIE WITH OPTION LOCATION PRINT AND COLOR
$29.99

Lifeguard  Adult Hoodie Sweatshirt  Black Life Guard Brand New
Lifeguard Adult Hoodie Sweatshirt Black Life Guard Brand New
$29.99

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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