2:1 3:1 Navigation General General CPA Questions · 5 2013 Ref: CPA, Hurricane C You are underway...

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e

m

r

Ø 100° @ 90 nm

Hurricane (e-m)

285° @ 19 k - 1.9 nm every 6 minutes

Ship’s Speed Radius (e-r)10 k - 1.0 nm every 6 minutes

Relative Motion Line (rm

)

Tangent to Ship’s Speed Radius

Transferred Relative Motion Line (rm

)

Distance of the Maxim

um C

PA

- 54 nm

1 2009 Ref: CPA, Hurricane CYou are underway on course 050°T and your maximum speed is 10 knots. The eye of a hurricane bears100°T, 90 miles from your position. The hurricane is moving towards 285°T at 19 knots. If you maneuverat 10 knots to avoid the hurricane, what could be the maximum CPA?A. 39 milesB. 45 milesC. 53 milesD. 59 miles

STEP 1

Ø 100° @ 90 nm

e

STEP 2

e

m

Hurricane (e-m)


e


STEP 3

e

m

r


)


STEP 4

e


)

STEP 5

Extra StepCourse erPlotted perpendicular to rm line

e

m

r

Navigation General General CPA Questions

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2:1 3:1

e

m

r

Ø 100° @ 90 nm

Hurricane (e-m)




)



)


um C

PA

- 54 nm

2 2010 Ref: CPA, Hurricane BYou are underway on course 050°T and your maximum speed is 10 knots. The eye of a hurricane bears100°T, 90 miles from your position. The hurricane is moving towards 285°T at 19 knots. Which courseshould you steer at 10 knots to have the maximum CPA?A. 221°B. 226°C. 233°D. 238°

STEP 1

Ø 100° @ 90 nm

e

STEP 2

e

m

Hurricane (e-m)


e


STEP 3

e

m

r


)


STEP 4

STEP 5Course erPlotted perpendicular to rm line

e

m

r

C 226

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2:1 3:13 2011 Ref: CPA, Hurricane DYou are underway on course 050°T and your maximum speed is 11 knots. The eye of a hurricane bears 070°T,80 miles from your position. The hurricane is moving towards 270°T at 19 knots. If you maneuver at 11 knotsto avoid the hurricane, what could be the maximum CPA?A. 84 milesB. 79 milesC. 74 milesD. 66 miles

4 2012 Ref: CPA, Hurricane DYou are underway on course 050°T and your maximum speed is 11 knots. The eye of a hurricane bears 070°T,80 miles from your position. The hurricane is moving towards 270°T at 19 knots. What course should you steerat 11 knots to have the maximum CPA?A. 250°B. 234°C. 227°D. 215°

e

Distance of the Maximum

CPA - 66 nm

C 2

15°

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r




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5 2013 Ref: CPA, Hurricane CYou are underway on course 050°T and your maximum speed is 12 knots. The eye of a hurricane bears 080°T,100 miles from your position. The hurricane is moving towards 265°T at 22 knots. If you maneuver at 12 knotsto avoid the hurricane, what could be the maximum CPA?A. 76 milesB. 69 milesC. 63 milesD. 56 miles

6 2014 Ref: CPA, Hurricane BYou are underway on course 050°T and your maximum speed is 12 knots. The eye of a hurricane bears 080°T,100 miles from your position. The hurricane is moving towards 265°T at 22 knots. What course should you steerat 12 knots to have the maximum CPA?A. 219°B. 208°C. 199°D. 190°

em

C 2

08°


um C

PA - 61 nm

r




5 2013 Ref: CPA, Hurricane C You are underway on course 050°T and your maximum speed is 12 knots. The eye of a hurricane bears 080°T, 100 miles from your position. The hurricane is moving towards 265°T at 22 knots. If you maneuver at 12 knots to avoid the hurricane, what could be the maximum CPA? A. 76 miles C. 63 miles B. 69 miles D. 56 miles 6 2014 Ref: CPA, Hurricane B You are underway on course 050°T and your maximum speed is 12 knots. The eye of a hurricane bears 080°T, 100 miles from your position. The hurricane is moving towards 265°T at 22 knots. What course should you steer at 12 knots to have the maximum CPA? A. 219° C. 199° B. 208° D. 190° 7 2015 Ref: CPA, Hurricane A You are underway on course 050°T and your maximum speed is 12 knots. The eye of a hurricane bears 120°T, 110 miles from your position. The hurricane is moving towards 285°T at 25 knots. If you maneuver at 12 knots to avoid the hurricane, what could be the maximum CPA? A. 77 miles C. 87 miles B. 82 miles D. 93 miles 8 2016 Ref: CPA, Hurricane C You are underway on course 050°T and your maximum speed is 12 knots. The eye of a hurricane bears 120°T, 110 miles from your position. The hurricane is moving towards 285°T at 25 knots. What course should you steer at 12 knots to have the maximum CPA? A. 332° C. 346° B. 339° D. 357° 9 2017 Ref: CPA, Hurricane A You are underway on course 050°T and your maximum speed is 13 knots. The eye of a hurricane bears 100°T, 120 miles from your position. The hurricane is moving towards 275°T at 25 knots. If you maneuver at 13 knots to avoid the hurricane, what could be the maximum CPA? A. 72 miles C. 83 miles B. 78 miles D. 89 miles 10 2018 Ref: CPA, Hurricane B You are underway on course 050°T and your maximum speed is 13 knots. The eye of a hurricane bears 100°T, 120 miles from your position. The hurricane is moving towards 275°T at 25 knots. What course should you steer at 13 knots to have the maximum CPA? A. 339° C. 326° B. 333° D. 320° 11 2019 Ref: CPA, Hurricane A You are underway on course 050°T and your maximum speed is 13 knots. The eye of a hurricane bears 120°T, 100 miles from your position. The hurricane is moving towards 265°T at 25 knots. What course should you steer at 13 knots to have the maximum CPA? A. 324°T C. 299°T B. 306°T D. 276°T 12 2020 Ref: CPA, Hurricane C You are underway on course 120°T and can make 12 knots. The eye of a hurricane bears 150°T at 120 miles. The hurricane is on course 295° at 20 knots. What course should you steer at 12 knots to have the maximum CPA? A. 312° C. 348° B. 330° D. 001°




13 2021 Ref: CPA, Hurricane D You are underway on course 120°T and your maximum speed is 12 knots. The eye of a hurricane bears 150°T, 120 miles from your position. The hurricane is moving towards 295°T at 20 knots. If you maneuver at 12 knots to avoid the hurricane, what could be the maximum CPA? A. 89 miles B. 96 miles C. 105 miles D. 117 miles See 14 & 15 solutions on next page. 16 1889 Ref: CPA, Intercept A You are enroute to assist vessel A. Vessel A is underway at 4.5 knots on course 233°T, and bears 346°T at 68 miles from you. What is the course to steer at 13 knots to intercept vessel A? A. 327° B. 323° C. 318° D. 314° 17 1890 Ref: CPA, Intercept C You are enroute to assist vessel A. Vessel A is underway at 5 knots on course 063°T, and bears 136°T at 78 miles from you. What is the course to steer and running time at 13 knots to intercept vessel A? A. 115°, 5h 45m B. 158°, 7h 20m C. 115°, 7h 20m D. 158°, 5h 45m 18 1891 Ref: CPA, Intercept A You are enroute to assist vessel A. Vessel A is underway at 5.5 knots on course 033°T, and bears 248°T at 64 miles from you. What is the course to steer at 13 knots to intercept vessel A? A. 262° B. 269° C. 276° D. 281° 19 1892 Ref: CPA, Intercept D You are enroute to assist vessel A. Vessel A is underway at 5.5 knots on course 033°T, and bears 248°T at 64 miles from you. What is the time to intercept if you make 13 knots? A. 4h 55m B. 4h 36m C. 3h 59m D. 3h 44m 20 1893 Ref: CPA, Intercept B You are enroute to assist vessel A. Vessel A is underway at 5.5 knots on course 033°T, and bears 284°T at 43 miles from you. What is the course to steer and running time at 16 knots to intercept vessel A? A. 265°, 3h 13m B. 303°, 2h 32m C. 265°, 2h 32m D. 303°, 3h 13m




14 1887 Ref: CPA, Intercept AYou are enroute to assist vessel A. Vessel A is underway at 4.5 knots on course 233°T, and bears 264°Tat 68 miles from you. What is the course to steer and running time at 13 knots to intercept vessel A?A. 254°, 7h 37mB. 274°, 8h 35mC. 254°, 8h 35mD. 274°, 7h 37m

15 1888 Ref: CPA, Intercept DYou are enroute to assist vessel A. Vessel A is underway at 4.5 knots on course 233°T, and bears 264°T,68 miles from you. What is the time to intercept if you make 13 Knots?A. 6h 31mB. 6h 47mC. 7h 03mD. 7h 37m

m

e

r

Instructions

Draw a vertical line to use as a meridian with a graduated triangle.

Draw in the bearing of 264°; this will be the relative motion "rm"line. No NOT label this line yet.

Since the vessel is toward the west, place the "em" line, vessel A’scourse and speed on the right. Represent the 4.5 knots as 45 mm.This line is "them" and marked "em".

Your speed is 13 knots - 130 mm. Fit this length from the "e" towhere it just touches the relative motion line. Mark this spot "r".The direction "er" is the course to intercept.

The length of "rm” is 89.4 mm which represents a relative motionspeed of 8.9 knots.

To calculate the time it takes to intercept vessel A, use thedistance given of 68 nm and the "rm" speed of 8.9 knots.

rm - 264°

relative motion

Vessel A

C 233°

S 4.5 k - 4

5mm

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Speed

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- 1

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Your Course 253.7°

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tive

mot

ion

spee

d89

.4 m

m -

8.9

k

DistanceSpeedTime

68 nm8.9 knots7.64 hours - 7h 38 m




21 1894 Ref: CPA, Intercept C You are enroute to assist vessel A. Vessel A is underway at 5.5 knots on course 033°T, and bears 284°T, 43 miles from you. What is the time to intercept if you make 16 knots? A. 2h 16m B. 2h 22m C. 2h 32m D. 2h 42m See 22 & 23 solutions on next page. 24 1897 Ref: CPA, Intercept B You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 343°T at 92 miles from you. What is the course to steer at 9 knots to intercept vessel A? A. 356° B. 003° C. 022° D. 038° 25 1898 Ref: CPA, Intercept C You are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 343°T at 92 miles from you. What is the time to intercept if you make 9 knots? A. 7h 44m B. 7h 12m C. 6h 43m D. 6h 08m See 26 & 27 solutions on last page. 28 2106 Ref: CPA, Wind C Your vessel is on course 150°T, speed 17 knots. The apparent wind is from 40° off the starboard bow, speed 15 knots. What is the speed of the true wind? A. 9.0 knots B. 10.2 knots C. 11.0 knots D. 12.0 knots 29 2107 Ref: CPA, Wind B Your vessel is on course 180°T speed 22 knots. The apparent wind is from 70° off the port bow, speed 20 knots. The true direction and speed of the wind are __________. A. 45°T, 21.0 knots B. 51°T, 24.0 knots C. 58°T, 21.2 knots D. 64°T, 26.0 knots 30 2108 Ref: CPA, Wind B Your vessel is on course 270°T, speed 10 knots. The apparent wind is from 10° off the port bow, speed 30 knots. From which direction is the true wind? A. 345°T B. 255°T C. 165°T D. 075°T




22 1895 Ref: CPA, Intercept DYou are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°at 105 miles from you. What is the course to steer at 10 knots to intercept vessel A?A. 063°B. 068°C. 073°D. 079°

23 1896 Ref: CPA, Intercept CYou are enroute to assist vessel A. Vessel A is underway at 6 knots on course 133°T, and bears 042°T,105 miles from you. What is the time to intercept if you make 10 knots?A. 12h 30mB. 12h 44mC. 12h 58mD. 13h 22m

r

rm -

042°

rela

tive

mot

ion

Vessel A C 133°

S 6.0 k - 60mm

Your Speed

10 k - 100 mm

Your Course 078.9°

relative motion speed

81 mm

- 8.1 k

DistanceSpeedTime

105 nm8.1 knots12.96 hours - 12h 58m

m

e




26 167 Ref: CPA, Wind BA ship is on course 195° at a speed of 15 knots. The apparent wind is from 40° on the port bow,speed 30 knots. The direction and speed of the true wind are __________.A. 068°T, 30 knotsB. 127°T, 21 knotsC. 263°T, 42 knotsD. 292°T, 42 knots

27 2096 Ref: CPA, Wind AYour ship is proceeding on course 320°T at a speed of 25 knots. The apparent wind is from 30° off thestarboard bow, speed 32 knots. What is the relative direction, true direction and speed of the true wind?A. Relative 80°, true 040°T, 16.2 knotsB. Relative 40°, true 080°T, 16.4 knotsC. Relative 80°, true 060°T, 15.2 knotsD. Relative 60°, true 040°T, 18.6 knots

m

e

r

26 - 40° on the port bow is from the direction of 155°

relative motion 155°

30 knots - 30 mm

C 1

95°

15 k

- 1

5 m

m

307° - 127°

Speed 20.9 mm - 21 k

27 - 30° on the starboard bow is from the direction of 350°

m

e

r

220.

5° -

040.

5°

Speed

16.

2 m

m -

16.2

k

relative motion 350°

32 knots - 32 mm

C 320°

25 k - 25 mm




2:1 3:1 Navigation General General CPA Questions · 5 2013 Ref: CPA, Hurricane C You are underway...

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Transcript of 2:1 3:1 Navigation General General CPA Questions · 5 2013 Ref: CPA, Hurricane C You are underway...