Question

While in a park, you walk west for 52 m, then you walk 33.9° north of west for 44 m, and finally you walk due north for 25 m. Find the components of your final displacement, from your initial to final point, along the north and west directions. (a) displacement component due north (b) displacement component due west

Answer 1

(a) Total north component = (26.89 + 25) = 51.89 metres

(b) Total west component = (-34.83 + 52) = 17.17 metres.

Step-by-step explanation:

Do northwest components first.

North component = (sin 33.9 x 44) =26.89 metres.

West component = (cos 33.9 x 44) = -34.83metres.

Total west component = (-34.83 + 52) = 17.17 metres.

Total north component = (26.89 + 25) = 51.89 metres