•Vector+hunt


 * Lab Title:** Vector hunt


 * Primary Authors:** Kerry, Chrystal, Sara, and Carson


 * Contributing Authors:** Kerry, Chrystal, Sara, and Carson

==== The goal of the vector treasure hunt was to find the hidden riddle by only knowing one single displacement. The method one used was counting how many meters each group went and the direction they took. One then graphed it on a piece of paper and used trigonametry to find the angle as seen below. The results our group found were 60.8 meters at 25.3° N of W or 154.7° CCWRE. ====
 * Abstract:**
 * Introduction:** The purpose of this lab was to use meter sticks and direction to make 8 different vectors in order to find a final destination and hide a riddle. Once the destination was chosen each group was to find one single displacement with one single direction connecting our starting point to their destination. Each group had to use trigonametry to find the angle of the resultant and the displacement of it.
 * Methods:** The method the class used was counting how many meters they went and the direction they took. Each group then graphed it on a piece of paper and used trigonametry to find the angle as seen below. The set up the class was given included a starting point, boundaries, and one was only allowed to use right angles. The materials used was two meter sticks taped together, the riddle to be hidden, and our minds.


 * Results:**
 * Vector ||  Meters  ||  Direction  ||
 * 1 ||  20  ||  East  ||
 * 2 ||  23  ||  North  ||
 * 3 ||  42  ||  West  ||
 * 4 ||  12  ||  North  ||
 * 5 ||  34  ||  West  ||
 * 6 ||  9  ||  South  ||
 * 7 ||  2  ||  West  ||
 * 8 ||  4  ||  South  ||
 * 9 ||  1  ||  East  ||
 * 10 ||  4  ||  North  ||
 * 11 ||  2  ||  East  ||

26² + 55² = X²   676 + 3025 = X²    √3701 = X    X ≈ 60.8 meters

Opposite ÷ Adjacent = Tan(Ѳ) 26 ÷ 55 = tan(Ѳ) 0.4727 = tan(Ѳ) Ѳ = tan⁻¹(0.4727) Ѳ ≈ 25.3° N of W

Given: 60.8 meters at 25.3° N of W or 154.7° CCWRE


 * Conclusion:** The result of this lab was that given one, single displacement and direction, each group was able to find the riddle. Finding the riddle was a bit difficult however because there were walls and classrooms in the way of our single displacement. This caused our group to rethink how many meters we had gone, and how many we had to deduct or add to the total based off of how far off course we got. Most groups were successful at finding the riddle, although solving it was a whole other problem!