# maths/physics/biomechanics

posted by .

At the beginning of a race, a yacht crosses the start line and sails in
westerly direction at a speed of 4 m s-1. The current of the sea is flowing at
2 m s-1 towards the north-east. Calculate how far [8 marks] and in what
direction (relative to west) [8 marks] the yacht has traveled after 10
minutes from its crossing the start line.
(-4,0) + (1.4,1.4) = (-2.6,1.4)
= 2.96 m/s at W28.3°N
After 10 minutes (600 seconds) the distance traveled is 1772m

Can you show me how to work this out. thanks!

• maths/physics/biomechanics -

4m/s @ 180 Deg + 2m/s @ 45 Deg.

X = 4*cos180 + 2*cos45 = -2.586 m/s.
Y = 0 + 2*sin45 = 1.414 m/s.

tanAr=Y/X = 1.414 / -2.586 = -.054687,
Ar = -28.7 Deg. = Reference angle.
A=-28.7 + 180=151.3 Deg.,CCW= W28.7Deg
N.

V = X/cosA = -2.586 / cos151.3 = 2.95 m/s @ W28.7Deg.N.

d = 2.95m/s * 600s = 1770 m.

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the text passage describes a scenario where a yacht is sailing in a westerly direction at 4 m/s, while the sea current is flowing at 2 m/s towards the north-east. the passage then provides a solution to the problem of calculating the yacht's resultant speed and direction after 10 minutes, including the final distance traveled.

the passage contains a mathematical question and provides an answer to it.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# maths/physics/biomechanics

posted by .

At the beginning of a race, a yacht crosses the start line and sails in
westerly direction at a speed of 4 m s-1. The current of the sea is flowing at
2 m s-1 towards the north-east. Calculate how far [8 marks] and in what
direction (relative to west) [8 marks] the yacht has traveled after 10
minutes from its crossing the start line.
(-4,0) + (1.4,1.4) = (-2.6,1.4)
= 2.96 m/s at W28.3°N
After 10 minutes (600 seconds) the distance traveled is 1772m

Can you show me how to work this out. thanks!

• maths/physics/biomechanics -

4m/s @ 180 Deg + 2m/s @ 45 Deg.

X = 4*cos180 + 2*cos45 = -2.586 m/s.
Y = 0 + 2*sin45 = 1.414 m/s.

tanAr=Y/X = 1.414 / -2.586 = -.054687,
Ar = -28.7 Deg. = Reference angle.
A=-28.7 + 180=151.3 Deg.,CCW= W28.7Deg
N.

V = X/cosA = -2.586 / cos151.3 = 2.95 m/s @ W28.7Deg.N.

d = 2.95m/s * 600s = 1770 m.

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user
TYPE: SINGLE_QUESTION_WITH_ANSWER

The text passage describes a scenario where a yacht is sailing in a westerly direction at 4 m/s, while the sea current is flowing at 2 m/s towards the north-east. The passage then provides a solution to the problem of calculating the yacht's resultant speed and direction after 10 minutes, including the final distance traveled.

The passage contains a mathematical question and provides an answer to it.