In an attempt to escape his island, Gilligan builds a raft and sets to sea. The wind shifts a great deal during the day, and he is blown along the following straight lines: 2.50 km 45.0º north of west; then 4.70 km 60.0º south of east; then 1.30 km 25.0º south of west; then 5.10 km straight east; then 1.70 km 5.00º east of north; then 7.20 km 55.0º south of west; and finally 2.80 km 10.0º north of east. What is his final position relative to the island?
Step 1 of 3
In this question 7 displacement (with magnitude and direction) is given. We have to calculate the resultant displacement using the vector addition formula.
We will take east direction as the positive axis and north as positive axis. Now we will decompose all the vectors towards the north and east component. Then we will add all the corresponding components to get the final north and east components towards the north and east direction. From this component we will calculate the magnitude and direction of the resultant displacement. And then we will state the final position.