How to find the speed and direction of a boat with current using vectors

The video tutorial explains how to calculate the actual bearing and speed of a ship affected by a current. It introduces the concept of vectors, focusing on magnitude and direction, and demonstrates how to represent a ship's movement as a vector. The tutorial covers the impact of a current flowing southwest on the ship's speed and direction, and how to calculate the resultant vector using the tail-to-head method. It also explains how to simplify vectors, store values for calculations, and find the speed and angle of the resultant vector, concluding with an angle adjustment to ensure accuracy.

What does the 12 mph represent in the context of the ship's movement?

• The angle of the ship's path

• The speed of the current

• The magnitude of the ship's vector

• The direction of the ship

How does the current affect the ship's movement?

• It speeds up the ship

• It slows down and pushes the ship

• It has no effect on the ship

• It changes the ship's color

What is the angle used for the ship's vector when heading due north?

• 45 degrees

• 180 degrees

• 0 degrees

• 90 degrees

What is the angle used for the current's vector in standard form?

• 90 degrees

• 225 degrees

• 135 degrees

• 180 degrees

What method is used to find the resultant vector?

• Subtracting the vectors

• Multiplying the vectors

• Dividing the vectors

• Adding the components of the vectors

What is the simplified form of the ship's vector?

• 0, 12

• 12, 0

• 12, -12

• 0, -12

How is the speed of the ship calculated?

• By taking the square root of the sum of squares of components

• By adding the magnitudes of the vectors

• By multiplying the ship's speed by the current's speed

• By subtracting the current's speed from the ship's speed

What is the resultant speed of the ship after considering the current?

• 12 mph

• 15 mph

• 4 mph

• 9.598 mph

What trigonometric function is used to find the direction of the resultant vector?

• Sine

• Cosine

• Cotangent

• Tangent

What is the final calculated direction of the ship?

• 90 degrees

• 107.139 degrees

• 180 degrees

• 72.86 degrees