I need help with vector voyage. These are the months for the wind vector given to us: Month 1: 3 squares south Month 2: 5 diagonal squares southeast Month 3: 3 diagonal squares northwest Month 4: 4.5 diagonal squares southwest and it has the same map like the ones shown on Google. The questions are:
1. Where will you make landfall now?
2. How many months to reach land (only count & approximate the solid 10-square vectors!)
My answers are Cuba and 5 months, is this correct? Where did you guys start your graph?
To determine the answers to your questions, we need to plot the vector voyage starting from a specific location. Since you mentioned that the map is similar to the ones shown on Google, let's assume we start our graph at a point of reference indicated on the map.
Now let's go through each month's vector and calculate the total displacement from the starting point:
Month 1: 3 squares south
If each square represents a unit of distance, then the displacement in the southern direction is 3 units.
Month 2: 5 diagonal squares southeast
A diagonal square represents a combination of horizontal and vertical displacements. Assuming each diagonal square covers a distance of 1 unit, this vector has a horizontal displacement of -3 units (towards the west) and a vertical displacement of -5 units (towards the south-east).
Month 3: 3 diagonal squares northwest
Similar to the previous vector, assuming each diagonal square covers a distance of 1 unit, this vector has a horizontal displacement of 3 units (towards the east) and a vertical displacement of 3 units (towards the northwest).
Month 4: 4.5 diagonal squares southwest
Assuming each diagonal square covers a distance of 1 unit, this vector has a horizontal displacement of -3.5 units (towards the west) and a vertical displacement of -4.5 units (towards the southwest).
By adding up all the displacements, we get:
Horizontal displacement: 3 + (-3) + 3 + (-3.5) = -0.5 units
Vertical displacement: (-5) + 3 + 3 + (-4.5) = -3.5 units
Now we can find the final position by applying these displacements to the starting point. However, without knowing the coordinates of the starting point, we cannot determine the exact landfall location.
Regarding the number of months to reach land, we can approximate it by counting the solid 10-square vectors. Based on the provided information, there are no vectors with a length of 10 squares. Therefore, you would need more than 5 months to reach land if we consider only solid 10-square vectors.
In conclusion, it is not possible to confirm the correctness of your answers without knowing the starting point and the specific landfall location.