Question

Solved for displacement, magnitude, and direction of the vector

An adventurous dog strays from home, runs six blocks east, six blocks north, and five blocks east, five blocks north, and seven blocks west. Assuming that each block is about 100 yd, use the analytical method to find the dog's net displacement vector (in yd). Assume the +x-axis is to the east and the +y-axis is to the north. (Express your answer in vector form.) yd Use the analytical meths to find its magnitude (in yd) and its direction (in degrees counterclockwise from the +x-axis) magnitude direction yd How would your answer be affected if each block was about 100 m? Use the analytical method to find the dog's net displacement vector (in m). (Express your answer in vector form.) Use the analytical method to find its magnitude (in m) and its direction (in degrees counterclockwise from the +x-axis) magnitude directiorn counterclockwise from the +x-axis

Answer 1

If we draw free body diragam accordingly question it will easy to slove.

As in question given each block has 100 yd and also each block has 100m so answer should be same for both just unit has change. In place of yard meter is come. Direction / degree remains same. Please find brief answer in attachment.

If we draw free body diragam accordingly question it will easy to slove. As in question given each block has 100 yd and also each block has 100m so answer should be same for both just unit has change. In place of yard meter is come. Direction/degree remains same. Please find Given, + X axis = east + Y axis = north Each Block is about 100 yd 1^st dog runs six block east = +(6 times 100) = + 600 yd. 2^nd dog runs six block north = +(6 times 100) = + 600 yd. 3^rd dog runs five block east = +(5 times 100) = 500 yd. 4^th dog runs five block north = +(5 times 100) = 500 yd. 5^th dog runs seven block west = (7 times 100) = -700 yd. \r\n From calculation displacement of dog, the final diagram, From pythagas theorem X = squareroot 400^2 + (1100)^2 = squareroot 160000 + 1210000 X rightarrow = + 1170.47 yd