Question

While in a park, you walk west for 52 m, then you walk 34.6° north of west for 44 m, and finally you walk due north for 25 m. Find the components of your final displacement (in m), from your initial to final point, along the north and west directions.

Answer 1

Answer:

88m west and 50m north

Explanation:

1. Find the components of each vector in x and y:

(Please see the picture below)

- Vector 1:

Fx = 52m

Fy = 0m

- Vector 2:

Fx = 44m*cos34.6

Fy = 44m*sin34.6

- Vector 3:

Fx = 0m

Fy = 25m

2. Find the components of the final displacement acting in x and y:

For west direction:

Rx = 52m + 44m*cos34.6 + 0

Rx = 88m

For north direction:

Ry = 0 + 44m*sin34.6 + 25m

Ry = 50m