Life Guards

1:6 DID K80108 THE LIFE GUARDS BRITISH ROYAL DRAGOONS FIGURE PRINCE HARRY
1:6 DID K80108 THE LIFE GUARDS BRITISH ROYAL DRAGOONS FIGURE PRINCE HARRY
$149.00

2015 DiD 1/6 scale 12
2015 DiD 1/6 scale 12" The Life Guards British Royal Dragoons Action Figure
$159.95

DID The Life Guards (British Army) 12
DID The Life Guards (British Army) 12" action figure DID-K80108
$149.99

DID 1/6 Scale The Life Guards British Royal Dragoons loose Head Sculpt
DID 1/6 Scale The Life Guards British Royal Dragoons loose Head Sculpt
$28.01

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Metal Sword Set
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Metal Sword Set
$28.01

DID 1/6 K80108 80108 The Life Guards British Royal
DID 1/6 K80108 80108 The Life Guards British Royal
$188.99

DID 1/6 K80108 80108 The Life Guards British royal dragoon IN STOCK
DID 1/6 K80108 80108 The Life Guards British royal dragoon IN STOCK
$188.99

GI Joe Action Man 40th Anniversary The Life Guards Uniform
GI Joe Action Man 40th Anniversary The Life Guards Uniform
$59.99

From Britains set 2029, Two Mounted Life Guards at the halt,  Hollowcast
From Britains set 2029, Two Mounted Life Guards at the halt, Hollowcast
$19.88

1:6 DiD THE LIFE GUARDS BRITISH ROYAL DRAGOONS ACTION FIGURE K80108 NIB
1:6 DiD THE LIFE GUARDS BRITISH ROYAL DRAGOONS ACTION FIGURE K80108 NIB
$159.99

DiD British Life Guard Royal Dragoons 1:6 Boxed Figure K80108
DiD British Life Guard Royal Dragoons 1:6 Boxed Figure K80108
$155.99

DID 1/6 K80108 The Life Guards_ Box Set _British royal dragoon Now DD059Z
DID 1/6 K80108 The Life Guards_ Box Set _British royal dragoon Now DD059Z
$198.99

DID  The Life Guards Poster (26 1/2 By 19 1/2).
DID The Life Guards Poster (26 1/2 By 19 1/2).
$20.00

Britains From Set # 400 ( 5 Pc.) Life Guards Winter Dress
Britains From Set # 400 ( 5 Pc.) Life Guards Winter Dress
$90.00

DID British Army The Royal Dragoon Life Guards Red Trooper 1/6 Figure IN STOCK
DID British Army The Royal Dragoon Life Guards Red Trooper 1/6 Figure IN STOCK
$164.99

BRITAINS Lead, The Life Guards, Mounted w/Officer, 5 Pc Set #1
BRITAINS Lead, The Life Guards, Mounted w/Officer, 5 Pc Set #1
$99.00

VINTAGE-1971-PALITOY-12
VINTAGE-1971-PALITOY-12"-ACTION MAN-"BLUES & ROYALS" OR "LIFE GUARDS"-BOOTS-1976
$10.99

ACTION MAN GI JOE 40TH
ACTION MAN GI JOE 40TH "THE LIFE GUARDS "OUTFIT MIB
$89.00

Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
Britains Life Guards Set #1 Toy Soldiers Vintage 1953 War/Millitary
$50.00

DID 1/6 Scale The Life Guards British Royal Dragoons loose Metal Helmet
DID 1/6 Scale The Life Guards British Royal Dragoons loose Metal Helmet
$28.01

Britains Set #101 12 Pc. Life Guards Band
Britains Set #101 12 Pc. Life Guards Band
$275.99

Crescent 60mm Life Guard Two Different Grendiers
Crescent 60mm Life Guard Two Different Grendiers
$4.99

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Red Jacket
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Red Jacket
$14.41

Vintage 1971 GI Joe Hasbro Action Man House Life Guard Riding Boots with Spurs
Vintage 1971 GI Joe Hasbro Action Man House Life Guard Riding Boots with Spurs
$29.99

Lineol Elastolin Napoleonic British Life Guard Toy Soldier horse preWWII Germany
Lineol Elastolin Napoleonic British Life Guard Toy Soldier horse preWWII Germany
$34.99

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Pouch
$6.76

DID 1:6 British The Life Guards, The Royal Dragoons
DID 1:6 British The Life Guards, The Royal Dragoons
$158.00

1ST LIFE GUARDS PRE 1922 GENUINE CAP BADGE
1ST LIFE GUARDS PRE 1922 GENUINE CAP BADGE
$29.22

4 VINTAGE BRITAINS LIFE GUARDS MOUNTED  WITH OFFICER   FROM SET # 1
4 VINTAGE BRITAINS LIFE GUARDS MOUNTED WITH OFFICER FROM SET # 1
$49.95

Breyer No. 3368 The Life Guards of the Queen's Household Cavalry
Breyer No. 3368 The Life Guards of the Queen's Household Cavalry
$89.00

Toy Soldiers  Britains Plastic Life Guards Colour Party and one Mounted figure
Toy Soldiers Britains Plastic Life Guards Colour Party and one Mounted figure
$5.99

Britains 5295 Life Guards Mounted Band Toy Soldiers Set 2 Limited Edition Models
Britains 5295 Life Guards Mounted Band Toy Soldiers Set 2 Limited Edition Models
$144.95

2ND LIFE GUARDS PRE 1922 GENUINE CAP BADGE
2ND LIFE GUARDS PRE 1922 GENUINE CAP BADGE
$29.22

1ST & 2ND LIFE GUARDS 1922 - 1928 GENUINE CAP BADGE
1ST & 2ND LIFE GUARDS 1922 - 1928 GENUINE CAP BADGE
$29.22

BRITAIN'S UNCATALOGED # 500 LIFE GUARDS, WINTER DRESS,  FROM ED RUBY COLLECT,
BRITAIN'S UNCATALOGED # 500 LIFE GUARDS, WINTER DRESS, FROM ED RUBY COLLECT,
$785.00

LIFE GUARDS Mini Plate Wade England Small 4 1/4
LIFE GUARDS Mini Plate Wade England Small 4 1/4"
$9.87

The Life Guards Hospital Tent - Atlantic City, NJ  x1-4130
The Life Guards Hospital Tent - Atlantic City, NJ x1-4130
$2.99

Breyer traditional Life Guards of the Queens Household Cavalry #3368
Breyer traditional Life Guards of the Queens Household Cavalry #3368
$75.00

1921 Life Guards on the Outlook Wildwood New Jersey Postcard NJ
1921 Life Guards on the Outlook Wildwood New Jersey Postcard NJ
$15.99

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Human Sized Gloves
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Human Sized Gloves
$5.91

Denmark 1986 Military/Army/Life Guards/Barracks/Buildings 1v (n34616)
Denmark 1986 Military/Army/Life Guards/Barracks/Buildings 1v (n34616)
$1.68

1939 Mens Allen-A Life Guards Underwear Briefs T-Shirts Original Fashion Ad
1939 Mens Allen-A Life Guards Underwear Briefs T-Shirts Original Fashion Ad
$9.99

1893 1st Life Guards Trooper, W. Britain 120th Anniversary Piece  #49033
1893 1st Life Guards Trooper, W. Britain 120th Anniversary Piece #49033
$49.99

LIFE GUARDS POST 1928 GENUINE CAP BADGE
LIFE GUARDS POST 1928 GENUINE CAP BADGE
$21.91

DiD 2015 1/6 scale 12
DiD 2015 1/6 scale 12" The Life Guards British Royal Dragoons Action Figure
$158.00

Cassandra 0050 The Life Guards Mounted 2001
Cassandra 0050 The Life Guards Mounted 2001
$19.00

Dismounted Life Guard, 1950s by Crescent. (my ref Or 21)
Dismounted Life Guard, 1950s by Crescent. (my ref Or 21)
$10.23

CURRENT BRITISH ARMY THE  LIFE GUARDS CAP BADGE CAVALRY
CURRENT BRITISH ARMY THE LIFE GUARDS CAP BADGE CAVALRY
$8.95

Britains Royal Guards, Lifeguard
Britains Royal Guards, Lifeguard
$16.98

Russian soldier of the Life Guards Pavlovsky Regiment collectible.
Russian soldier of the Life Guards Pavlovsky Regiment collectible.
$225.00

1930 Life guards with Donkey SEASIDE OREGON RPPC postcard 7773
1930 Life guards with Donkey SEASIDE OREGON RPPC postcard 7773
$11.84

1st LIFE GUARDS  Cigarette Silk approx 68 x 46mm
1st LIFE GUARDS Cigarette Silk approx 68 x 46mm
$1.45

1st LIFE GUARDS. Staff Corp. Farrier. Stewart & Woolf pc. HARRY PAYNE art. 1905
1st LIFE GUARDS. Staff Corp. Farrier. Stewart & Woolf pc. HARRY PAYNE art. 1905
$10.96

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

L G (LIFE GUARDS) RARE  SHOULDER TITLE
L G (LIFE GUARDS) RARE SHOULDER TITLE
$8.77

The Life Guards Marching through the Park Valentine's Wollen
The Life Guards Marching through the Park Valentine's Wollen
$2.50

Vintage Britains Band of the Life Guards Set 13 Pieces
Vintage Britains Band of the Life Guards Set 13 Pieces
$19.99

DID 1/6 Scale The Life Guards British Royal Dragoons Loose Button Tool
DID 1/6 Scale The Life Guards British Royal Dragoons Loose Button Tool
$4.21

Band of H.M.,2nd Life Guards Canadian National Exhibition-Toronto,Ont 1910
Band of H.M.,2nd Life Guards Canadian National Exhibition-Toronto,Ont 1910
$3.00

Britains Mounted Life Guard Winter Dress    Set 400
Britains Mounted Life Guard Winter Dress Set 400
$16.88

2nd LIFE GUARDS SILK issued in 1914
2nd LIFE GUARDS SILK issued in 1914
$4.17

1st LIFE GUARDS. Gale & Polden
1st LIFE GUARDS. Gale & Polden "DRUM HORSES" Series c1906
$6.58

United Kingdom UK Whitehall Life Guards Postcard Old Vintage Card View Stan
United Kingdom UK Whitehall Life Guards Postcard Old Vintage Card View Stan
$0.50

The Life Guards  Cap Badge
The Life Guards Cap Badge
$17.53

RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS PREOBRAZHENSKY REGIMENT
RUSSIAN IMPERIAL BADGE OF THE LIFE GUARDS PREOBRAZHENSKY REGIMENT
$45.00

Second Life Guards  Cap Badge
Second Life Guards Cap Badge
$17.53

2nd LIFE GUARDS. History & Traditions. Gale & Polden. ERNEST IBBETSON art 1909
2nd LIFE GUARDS. History & Traditions. Gale & Polden. ERNEST IBBETSON art 1909
$8.77

Mounted Sentry ~ The Life Guards @ Horse Guards ~ London ET.2585 Unposted PC
Mounted Sentry ~ The Life Guards @ Horse Guards ~ London ET.2585 Unposted PC
$2.00

The Life Guards cap badge, Post 1953, gilding metal
The Life Guards cap badge, Post 1953, gilding metal
$14.95

Life Guards Horse Guards Whitehall London Vintage Postcard PC#978
Life Guards Horse Guards Whitehall London Vintage Postcard PC#978
$1.53

Pre World War One Real Photo Postcard A Private in The Life Guards
Pre World War One Real Photo Postcard A Private in The Life Guards
$7.00

Our Army officer in the Life Guards Hussar Regiment 1809-1812 #2 na
Our Army officer in the Life Guards Hussar Regiment 1809-1812 #2 na
$19.90

Britains 00157 Band Of The Life Guards
Britains 00157 Band Of The Life Guards
$39.99

Victorian British Full Colonel Life Guards Shabraque Shabrack Saddle Cloth
Victorian British Full Colonel Life Guards Shabraque Shabrack Saddle Cloth
$1,200.00

Vintage Colored Lithograph Print
Vintage Colored Lithograph Print " The 1st Life Guards "
$19.99

Life Guards ( 1st & 2nd )  Cap Badge
Life Guards ( 1st & 2nd ) Cap Badge
$6.58

The Life Guards Officers Full Dress Pouch 1902 Pattern
The Life Guards Officers Full Dress Pouch 1902 Pattern
$1,617.75

BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
BRITAINS ROYAL GUARDS+ LIFE GUARDS----4 PLASTIC FIGURES
$4.24

BRITISH ARMY CAP BADGE.  1st. LIFE GUARDS.
BRITISH ARMY CAP BADGE. 1st. LIFE GUARDS.
$10.22

William Britains Life Guards
William Britains Life Guards
$27.00

Reka Mounted Life Guard Officers  Both Pieces
Reka Mounted Life Guard Officers Both Pieces
$23.02

BRITISH ARMY CAP BADGE. THE LIFE GUARDS.
BRITISH ARMY CAP BADGE. THE LIFE GUARDS.
$10.22

life guards in the mall london cavalry uniforms
life guards in the mall london cavalry uniforms
$3.50

Vintage Life Guards Anodised Gold Button 25mm Gaunt London
Vintage Life Guards Anodised Gold Button 25mm Gaunt London
$4.37

Lead Life Guards - 4 Marching, 5 Kneeling, 2 painted
Lead Life Guards - 4 Marching, 5 Kneeling, 2 painted
$18.99

Britains Life Guard Officer on Rearing Horse and 2 Troopers 1950s
Britains Life Guard Officer on Rearing Horse and 2 Troopers 1950s
$19.99

H.M. First Life Guards. Aeolian Vocalion. 12' 78rpm.
H.M. First Life Guards. Aeolian Vocalion. 12' 78rpm.
$17.54

British The Life Guards Famous Regiments Reference Book
British The Life Guards Famous Regiments Reference Book
$18.00

Britain's The Life Guards, Farrier with Axe Mounted (1pc)
Britain's The Life Guards, Farrier with Axe Mounted (1pc)
$25.00

 SERIES 77  BRITISH DRAGOON LIFE GUARD TOY SOLDIER  CAST METAL 1960'S ENGLAND
SERIES 77 BRITISH DRAGOON LIFE GUARD TOY SOLDIER CAST METAL 1960'S ENGLAND
$7.99

cWW1 BRITISH SECOND LIFE GUARDS KGV BADGE WITH SLIDER.
cWW1 BRITISH SECOND LIFE GUARDS KGV BADGE WITH SLIDER.
$21.57

Band Life Guards: Horse of the Year.  DJM 22005
Band Life Guards: Horse of the Year. DJM 22005
$8.76

Life Guards in the Hamptons: A Willow Tate Novel
Life Guards in the Hamptons: A Willow Tate Novel
$3.97

SECOND LIFE GUARDS - BRASS CAP BADGE - 2nd - GENUINE & ORIGINAL - KGV
SECOND LIFE GUARDS - BRASS CAP BADGE - 2nd - GENUINE & ORIGINAL - KGV
$29.22

BRITAINS SET #2029 - The Life Guards Mounted and Foot Sentries
BRITAINS SET #2029 - The Life Guards Mounted and Foot Sentries
$79.99

BRIITISH ARMY LIFE GUARDS TRF VELCRO BADGE PATCH HOUSEHOLD CAVALRY
BRIITISH ARMY LIFE GUARDS TRF VELCRO BADGE PATCH HOUSEHOLD CAVALRY
$4.95

BRITISH ARMY CAVALRY LIFE GUARDS REGIMENT OFFICERS CAP BADGE
BRITISH ARMY CAVALRY LIFE GUARDS REGIMENT OFFICERS CAP BADGE
$15.00

1939 Mens Allen-A Life Guards Underwear Briefs Original Fashion Ad
1939 Mens Allen-A Life Guards Underwear Briefs Original Fashion Ad
$9.99

Her Majesty Queen Elisabeth life guards salute outside Buckingham British army
Her Majesty Queen Elisabeth life guards salute outside Buckingham British army
$4.50

2nd Life Guards, State Trumpeter, unused Tuck Oilette
2nd Life Guards, State Trumpeter, unused Tuck Oilette
$6.95

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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